Scholarlink

<p>Driven quantum materials often feature emergent topology, otherwise absent in static crystals. Dynamic bulk-boundary correspondence, encoded by nondissipative gapless modes residing near the Floquet zone center and/or boundaries, is its most prominent example. Here we show that topologically robust gapless dispersive modes appear along the grain boundaries, embedded in the interior of Floquet topological crystals, when the Floquet-Bloch band inversion occurring at a finite momentum (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2024_83573_Article_IEq1.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textbf{K}^\textrm{Flq}_\textrm{inv}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi mathvariant="bold">K</mi> <mtext>inv</mtext> <mtext>Flq</mtext> </msubsup> </math></EquationSource> </InlineEquation>) and the Burgers vector (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2024_83573_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textbf{b}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="bold">b</mi> </math></EquationSource> </InlineEquation>) of the constituting array of dislocations satisfy <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2024_83573_Article_IEq3.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="90" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textbf{K}^\textrm{Flq}_\textrm{inv} \cdot \textbf{b}=\pi\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi mathvariant="bold">K</mi> <mtext>inv</mtext> <mtext>Flq</mtext> </msubsup> <mo>·</mo> <mi mathvariant="bold">b</mi> <mo>=</mo> <mi>π</mi> </mrow> </math></EquationSource> </InlineEquation> (modulo <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2024_83573_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(2 \pi\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mi>π</mi> </mrow> </math></EquationSource> </InlineEquation>). Such nondissipative gapless states can be found near the center and/or edges of the Floquet Brillouin zone, irrespective of the drive protocol. We showcase these general outcomes for two-dimensional driven time-reversal symmetry breaking insulators. Promising experimental platforms hosting such dynamic topological dispersive bands in real materials are discussed.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dispersive nodal fermions along grain boundaries in Floquet topological crystals

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月14日

查看全文
  • Daniel J. Salib,
  • Bitan Roy

摘要

Driven quantum materials often feature emergent topology, otherwise absent in static crystals. Dynamic bulk-boundary correspondence, encoded by nondissipative gapless modes residing near the Floquet zone center and/or boundaries, is its most prominent example. Here we show that topologically robust gapless dispersive modes appear along the grain boundaries, embedded in the interior of Floquet topological crystals, when the Floquet-Bloch band inversion occurring at a finite momentum ( \(\textbf{K}^\textrm{Flq}_\textrm{inv}\) K inv Flq ) and the Burgers vector ( \(\textbf{b}\) b ) of the constituting array of dislocations satisfy \(\textbf{K}^\textrm{Flq}_\textrm{inv} \cdot \textbf{b}=\pi\) K inv Flq · b = π (modulo \(2 \pi\) 2 π ). Such nondissipative gapless states can be found near the center and/or edges of the Floquet Brillouin zone, irrespective of the drive protocol. We showcase these general outcomes for two-dimensional driven time-reversal symmetry breaking insulators. Promising experimental platforms hosting such dynamic topological dispersive bands in real materials are discussed.