{"id":"https://openalex.org/W7223924964","doi":"https://doi.org/10.48550/arxiv.2610.33264","title":"Unified First-Principles Theory of Finite-Wave-Vector Photocurrents in Crystals","display_name":"Unified First-Principles Theory of Finite-Wave-Vector Photocurrents in Crystals","publication_year":2026,"publication_date":"2026-10-23","ids":{"openalex":"https://openalex.org/W7223924964","doi":"https://doi.org/10.48550/arxiv.2610.33264"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.33264","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.33264","pdf_url":"https://arxiv.org/pdf/2610.33264","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.33264","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041046950","display_name":"Bumseop Kim","orcid":"https://orcid.org/0009-0004-0023-0081","observed_orcids":["https://orcid.org/0009-0004-0023-0081"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kim, Bumseop","raw_affiliation_strings":["Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076473064","display_name":"Sayed Ali Akbar Ghorashi","orcid":"https://orcid.org/0000-0002-9993-5329","observed_orcids":["https://orcid.org/0000-0002-9993-5329"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ghorashi, Sayed Ali Akbar","raw_affiliation_strings":["Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038576674","display_name":"Yicong Chen","orcid":"https://orcid.org/0000-0003-4529-8982","observed_orcids":["https://orcid.org/0000-0003-4529-8982"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chen, Yicong","raw_affiliation_strings":["Department of Physics and Astronomy , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065713450","display_name":"Ritesh Agarwal","orcid":"https://orcid.org/0000-0002-1289-4334","observed_orcids":["https://orcid.org/0000-0002-1289-4334"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Agarwal, Ritesh","raw_affiliation_strings":["Department of Materials Science and Engineering , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Materials Science and Engineering , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059503004","display_name":"Andrew M. Rappe","orcid":"https://orcid.org/0000-0003-4620-6496","observed_orcids":["https://orcid.org/0000-0003-4620-6496"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rappe, Andrew M.","raw_affiliation_strings":["Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania 19104 , USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.5595999956130981,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.5595999956130981,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10275","display_name":"2D Materials and Applications","score":0.10639999806880951,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11050","display_name":"Photorefractive and Nonlinear Optics","score":0.04089999943971634,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/structured-light","display_name":"structured light","score":0.8149999976158142},{"id":"https://openalex.org/keywords/phase-gradient","display_name":"phase gradient","score":0.5},{"id":"https://openalex.org/keywords/intensity-gradient","display_name":"intensity gradient","score":0.9950000047683716},{"id":"https://openalex.org/keywords/photon-drag","display_name":"photon drag","score":0.7409999966621399},{"id":"https://openalex.org/keywords/wannier-interpolation","display_name":"Wannier interpolation","score":0.7450000047683716},{"id":"https://openalex.org/keywords/bulk-photovoltaic-effect","display_name":"bulk photovoltaic effect","score":0.796999990940094},{"id":"https://openalex.org/keywords/centrosymmetric-crystals","display_name":"centrosymmetric crystals","score":0.7480000257492065},{"id":"https://openalex.org/keywords/gaussian-beam","display_name":"Gaussian beam","score":0.5320000052452087},{"id":"https://openalex.org/keywords/nonlinear-optics","display_name":"nonlinear optics","score":0.39500001072883606}],"concepts":[{"id":"https://openalex.org/C2779845233","wikidata":"https://www.wikidata.org/wiki/Q3381567","display_name":"Photocurrent","level":2,"score":0.6419000029563904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5965999960899353},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.5964000225067139},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.5871000289916992},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.5523999929428101},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5200999975204468},{"id":"https://openalex.org/C191463272","wikidata":"https://www.wikidata.org/wiki/Q2493660","display_name":"Light beam","level":2,"score":0.4747999906539917},{"id":"https://openalex.org/C2778315978","wikidata":"https://www.wikidata.org/wiki/Q944873","display_name":"Gaussian beam","level":3,"score":0.44110000133514404},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.4032000005245209},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C185838666","wikidata":"https://www.wikidata.org/wiki/Q5188192","display_name":"Cross-polarized wave generation","level":3,"score":0.3517000079154968},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.33230000734329224},{"id":"https://openalex.org/C42057802","wikidata":"https://www.wikidata.org/wiki/Q4769936","display_name":"Anomalous photovoltaic effect","level":4,"score":0.3305000066757202},{"id":"https://openalex.org/C96834759","wikidata":"https://www.wikidata.org/wiki/Q750463","display_name":"Phase modulation","level":3,"score":0.3294000029563904},{"id":"https://openalex.org/C3020368824","wikidata":"https://www.wikidata.org/wiki/Q6546192","display_name":"Light intensity","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C78854221","wikidata":"https://www.wikidata.org/wiki/Q756033","display_name":"Nonlinear optics","level":3,"score":0.322299987077713},{"id":"https://openalex.org/C153201621","wikidata":"https://www.wikidata.org/wiki/Q5121676","display_name":"Circular polarization","level":3,"score":0.32100000977516174},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3154999911785126},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C109496249","wikidata":"https://www.wikidata.org/wiki/Q657009","display_name":"Wave vector","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C63131636","wikidata":"https://www.wikidata.org/wiki/Q505293","display_name":"Photorefractive effect","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C160018778","wikidata":"https://www.wikidata.org/wiki/Q3123190","display_name":"Sum-frequency generation","level":4,"score":0.29750001430511475},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.2969000041484833},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.29249998927116394},{"id":"https://openalex.org/C154452299","wikidata":"https://www.wikidata.org/wiki/Q7098853","display_name":"Optical field","level":3,"score":0.2833999991416931},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C41291067","wikidata":"https://www.wikidata.org/wiki/Q1897785","display_name":"Photovoltaic system","level":2,"score":0.2612000107765198},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.2515000104904175},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.33264","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.33264","pdf_url":"https://arxiv.org/pdf/2610.33264","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.33264","doi":"https://doi.org/10.48550/arxiv.2610.33264","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.33264","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.33264","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.33264","pdf_url":"https://arxiv.org/pdf/2610.33264","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1079818582","display_name":null,"funder_award_id":"AC02\u201005CH11231","funder_id":"https://openalex.org/F4320338292","funder_display_name":"Lawrence Berkeley National Laboratory"},{"id":"https://openalex.org/G1143651532","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320338292","funder_display_name":"Lawrence Berkeley National Laboratory"},{"id":"https://openalex.org/G122673668","display_name":null,"funder_award_id":"DE\u2013AC02\u201305CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G1286236842","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1286251239","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"},{"id":"https://openalex.org/G1677143136","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G1695582955","display_name":null,"funder_award_id":"DE-SC0024942","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2618837358","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"},{"id":"https://openalex.org/G30714459","display_name":null,"funder_award_id":"DE-AC02-05CH11231.","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"},{"id":"https://openalex.org/G419881185","display_name":null,"funder_award_id":"DEAC02\u201305CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G42916606","display_name":null,"funder_award_id":"DE AC02 05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4501827968","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G5076365615","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G650090426","display_name":null,"funder_award_id":"AC02\u201305CH11231","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"},{"id":"https://openalex.org/G6652958823","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7354628648","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320338292","funder_display_name":"Lawrence Berkeley National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320317220","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337480","display_name":"Basic Energy Sciences","ror":"https://ror.org/05mg91w61"},{"id":"https://openalex.org/F4320338292","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223924964.pdf","grobid_xml":"https://content.openalex.org/works/W7223924964.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7164319388"],"related_works":["https://openalex.org/W4386443503","https://openalex.org/W4387560913","https://openalex.org/W4392880148","https://openalex.org/W3217150600","https://openalex.org/W7125981439","https://openalex.org/W2043233572","https://openalex.org/W2060827848","https://openalex.org/W6922078232","https://openalex.org/W1927744636","https://openalex.org/W2806580834"],"abstract_inverted_index":{"Spatially":[0],"structured":[1],"light":[2,200],"carries":[3],"independent":[4,205],"phase":[5,83,134],"and":[6,14,27,85,91,99,172,188,212],"envelope":[7,173],"variations":[8],"in":[9,41,68,141,158,221],"addition":[10],"to":[11,65,80,95,217],"its":[12],"polarization":[13],"frequency.":[15],"We":[16],"develop":[17],"a":[18,101,118,128,132,214],"first-principles":[19,215],"theory":[20],"of":[21,35,148,174,199],"second-order":[22,44],"dc":[23,39,45,104],"photocurrents":[24],"(especially":[25],"shift":[26],"injection)":[28],"that":[29,115,162],"resolves":[30,180],"how":[31,195],"these":[32,69,192],"optical":[33,49,82,182],"degrees":[34],"freedom":[36],"drive":[37],"distinct":[38,163],"responses":[40,114],"crystals.":[42],"The":[43],"response":[46,64,220],"couples":[47,79,94],"two":[48,73],"field":[50],"components":[51],"at":[52,117],"the":[53,63,81,87,96,136,142,149,153,170,181,196],"same":[54,143],"frequency":[55],"but":[56],"with":[57,131],"generally":[58],"different":[59],"wave":[60,70],"vectors.":[61],"Expanding":[62],"first":[66],"order":[67],"vectors":[71],"identifies":[72],"rank-four":[74],"material":[75],"tensors:":[76],"$\u03be$,":[77],"which":[78,93],"gradient":[84,98],"contains":[86],"plane-wave":[88],"photon-drag":[89],"limit,":[90],"$\u03b6$,":[92],"intensity":[97],"describes":[100],"spatially":[102],"varying":[103],"current.":[105],"Wannier-interpolated":[106],"calculations":[107],"for":[108,208],"monolayer":[109],"GeS":[110],"show":[111,194],"symmetry-allowed":[112],"finite-wave-vector":[113],"survive":[116],"centrosymmetric":[119],"structure":[120,198],"where":[121],"conventional":[122],"bulk":[123],"photovoltaic":[124],"effect":[125],"vanishes.":[126],"For":[127],"Gaussian":[129],"beam":[130,150],"uniform":[133],"gradient,":[135],"phase-gradient":[137],"contribution":[138,155],"drives":[139,156],"current":[140],"direction":[144],"on":[145],"both":[146],"sides":[147],"center,":[151],"whereas":[152],"intensity-gradient":[154],"currents":[157],"opposite":[159],"directions,":[160],"showing":[161],"photocurrent":[164,210],"patterns":[165],"can":[166,201],"be":[167],"selected":[168],"through":[169],"wavefront":[171],"light.":[175],"A":[176],"multipolar":[177],"analysis":[178],"further":[179],"corrections":[183],"into":[184],"electric-quadrupole,":[185],"orbital":[186],"magnetic-dipole,":[187],"band-dispersion":[189],"contributions.":[190],"Together,":[191],"results":[193],"spatial":[197],"serve":[202],"as":[203],"an":[204],"control":[206],"variable":[207],"nonlinear":[209],"generation":[211],"provide":[213],"route":[216],"predict":[218],"this":[219],"real":[222],"materials.":[223]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-28T00:00:00"}
