Litcius/Paper detail

Computation of topological phase diagram of disordered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Pb</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>Sn</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi>Te</mml:mi></mml:mrow></mml:math> using the kernel polynomial method

Dániel Varjas, Michel Fruchart, Anton R. Akhmerov, Pablo M. Perez-Piskunow

2020Physical Review Research48 citationsDOIOpen Access PDF

Abstract

This paper presents an algorithm to determine topological invariants of large inhomogeneous systems, such as alloys, disordered crystals, amorphous systems, and quasicrystals. To illustrate the predictive power of the method, the authors model lead tin telluride, and determine tight bounds on the tin concentration where a topological phase transition occurs.

Topics & Concepts

Phase diagramMathematicsComputationPolynomialTopology (electrical circuits)Kernel (algebra)Phase transitionPhase (matter)Topological data analysisDiscrete mathematicsTopological orderStatistical physicsPower (physics)TinAlgorithmDiagramPhysicsTopological quantum numberKernel methodComputer scienceAmorphous solidCombinatoricsPure mathematicsMathematical analysisTopological Materials and PhenomenaTopological and Geometric Data AnalysisQuantum many-body systems
Computation of topological phase diagram of disordered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Pb</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>Sn</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi>Te</mml:mi></mml:mrow></mml:math> using the kernel polynomial method | Litcius