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Quantized Charge Polarization as a Many-Body Invariant in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math> Crystalline Topological States and Hofstadter Butterflies

Yuxuan Zhang, Naren Manjunath, Gautam Nambiar, Maissam Barkeshli

2023Physical Review X29 citationsDOIOpen Access PDF

Abstract

A theoretical analysis shows that a quantized charge polarization is well-defined in an insulator with a magnetic field and nonzero quantized Hall conductance, offering an inroad to a deeper understanding of crystalline topological phases.

Topics & Concepts

Polarization (electrochemistry)PhysicsInvariant (physics)Insulator (electricity)AlgorithmComputer scienceTheoretical physicsMathematical physicsOptoelectronicsChemistryPhysical chemistryTopological Materials and PhenomenaQuantum and electron transport phenomenaAdvanced Condensed Matter Physics
Quantized Charge Polarization as a Many-Body Invariant in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math> Crystalline Topological States and Hofstadter Butterflies | Litcius