Standard

Smooth gauge for topological insulators. / Soluyanov, Alexey A.; Vanderbilt, David.

в: Physical Review B, Том 85, № 11, 115415, 12.03.2012.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Soluyanov, AA & Vanderbilt, D 2012, 'Smooth gauge for topological insulators', Physical Review B, Том. 85, № 11, 115415. https://doi.org/10.1103/PhysRevB.85.115415

APA

Soluyanov, A. A., & Vanderbilt, D. (2012). Smooth gauge for topological insulators. Physical Review B, 85(11), [115415]. https://doi.org/10.1103/PhysRevB.85.115415

Vancouver

Soluyanov AA, Vanderbilt D. Smooth gauge for topological insulators. Physical Review B. 2012 Март 12;85(11). 115415. https://doi.org/10.1103/PhysRevB.85.115415

Author

Soluyanov, Alexey A. ; Vanderbilt, David. / Smooth gauge for topological insulators. в: Physical Review B. 2012 ; Том 85, № 11.

BibTeX

@article{450f6a1b223a49ec9f9e250b65ad275a,
title = "Smooth gauge for topological insulators",
abstract = "We develop a technique for constructing Bloch-like functions for 2D Z(2) insulators (i.e., quantum spin-Hall insulators) that are smooth functions of k on the entire Brillouin-zone torus. As the initial step, the occupied subspace of the insulator is decomposed into a direct sum of two {"}Chern bands,{"} that is, topologically nontrivial subspaces with opposite Chern numbers. This decomposition remains robust independent of underlying symmetries or specific model features. Starting with the Chern bands obtained in this way, we construct a topologically nontrivial unitary transformation that rotates the occupied subspace into a direct sum of topologically trivial subspaces, thus facilitating a Wannier construction. The procedure is validated and illustrated by applying it to the Kane-Mele model.",
keywords = "HGTE QUANTUM-WELLS, CONDENSED-MATTER, WANNIER FUNCTIONS, HALL CONDUCTANCE, GEOMETRIC PHASE, BERRYS PHASE, ENERGY-BANDS, SUPERCONDUCTORS, POLARIZATION, QUANTIZATION",
author = "Soluyanov, {Alexey A.} and David Vanderbilt",
year = "2012",
month = mar,
day = "12",
doi = "10.1103/PhysRevB.85.115415",
language = "English",
volume = "85",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "11",

}

RIS

TY - JOUR

T1 - Smooth gauge for topological insulators

AU - Soluyanov, Alexey A.

AU - Vanderbilt, David

PY - 2012/3/12

Y1 - 2012/3/12

N2 - We develop a technique for constructing Bloch-like functions for 2D Z(2) insulators (i.e., quantum spin-Hall insulators) that are smooth functions of k on the entire Brillouin-zone torus. As the initial step, the occupied subspace of the insulator is decomposed into a direct sum of two "Chern bands," that is, topologically nontrivial subspaces with opposite Chern numbers. This decomposition remains robust independent of underlying symmetries or specific model features. Starting with the Chern bands obtained in this way, we construct a topologically nontrivial unitary transformation that rotates the occupied subspace into a direct sum of topologically trivial subspaces, thus facilitating a Wannier construction. The procedure is validated and illustrated by applying it to the Kane-Mele model.

AB - We develop a technique for constructing Bloch-like functions for 2D Z(2) insulators (i.e., quantum spin-Hall insulators) that are smooth functions of k on the entire Brillouin-zone torus. As the initial step, the occupied subspace of the insulator is decomposed into a direct sum of two "Chern bands," that is, topologically nontrivial subspaces with opposite Chern numbers. This decomposition remains robust independent of underlying symmetries or specific model features. Starting with the Chern bands obtained in this way, we construct a topologically nontrivial unitary transformation that rotates the occupied subspace into a direct sum of topologically trivial subspaces, thus facilitating a Wannier construction. The procedure is validated and illustrated by applying it to the Kane-Mele model.

KW - HGTE QUANTUM-WELLS

KW - CONDENSED-MATTER

KW - WANNIER FUNCTIONS

KW - HALL CONDUCTANCE

KW - GEOMETRIC PHASE

KW - BERRYS PHASE

KW - ENERGY-BANDS

KW - SUPERCONDUCTORS

KW - POLARIZATION

KW - QUANTIZATION

U2 - 10.1103/PhysRevB.85.115415

DO - 10.1103/PhysRevB.85.115415

M3 - Article

VL - 85

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 11

M1 - 115415

ER -

ID: 9471271