<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href='static/style.xsl' type='text/xsl'?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-30T06:55:51Z</responseDate><request verb="GetRecord" identifier="oai:ebiltegia.mondragon.edu:20.500.11984/14559" metadataPrefix="mods">https://ebiltegia.mondragon.edu/oai/request</request><GetRecord><record><header><identifier>oai:ebiltegia.mondragon.edu:20.500.11984/14559</identifier><datestamp>2026-06-16T06:15:52Z</datestamp><setSpec>com_20.500.11984_473</setSpec><setSpec>com_20.500.11984_14090</setSpec><setSpec>col_20.500.11984_478</setSpec></header><metadata><mods:mods xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
   <mods:name>
      <mods:namePart>Bradlyn, Barry</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Iraola, Mikel</mods:namePart>
   </mods:name>
   <mods:extension>
      <mods:dateAvailable encoding="iso8601">2026-06-15T14:08:39Z</mods:dateAvailable>
   </mods:extension>
   <mods:extension>
      <mods:dateAccessioned encoding="iso8601">2026-06-15T14:08:39Z</mods:dateAccessioned>
   </mods:extension>
   <mods:originInfo>
      <mods:dateIssued encoding="iso8601">2022</mods:dateIssued>
   </mods:originInfo>
   <mods:identifier type="issn">2590-1990</mods:identifier>
   <mods:identifier type="uri">https://hdl.handle.net/20.500.11984/14559</mods:identifier>
   <mods:abstract>In these notes, we review the role of Berry phases and topology in noninteracting electron systems. Topics including the adiabatic theorem, parallel transport, and Wannier functions are reviewed, with a focus on the connection to topological insulators.</mods:abstract>
   <mods:language>
      <mods:languageTerm>eng</mods:languageTerm>
   </mods:language>
   <mods:accessCondition type="useAndReproduction">Attribution 4.0 International</mods:accessCondition>
   <mods:accessCondition type="useAndReproduction">http://creativecommons.org/licenses/by/4.0/</mods:accessCondition>
   <mods:accessCondition type="useAndReproduction">© The Author(s)</mods:accessCondition>
   <mods:titleInfo>
      <mods:title>Lecture notes on Berry phases and topology</mods:title>
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