Review of scattering and NEGF methods for quantum transport, with pedagogical derivations, equivalence proof, algorithm analysis as Gaussian elimination variants, and example applications.
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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abstract
We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the electronic state changes from a normal to an "inverted" type at a critical thickness $d_c$. We show that this transition is a topological quantum phase transition between a conventional insulating phase and a phase exhibiting the QSH effect with a single pair of helical edge states. We also discuss the methods for experimental detection of the QSH effect.
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cond-mat.mes-hall 1years
2024 1verdicts
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Computational quantum transport: a scattering approach perspective
Review of scattering and NEGF methods for quantum transport, with pedagogical derivations, equivalence proof, algorithm analysis as Gaussian elimination variants, and example applications.