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Efficient algorithm to compute the Berry conductivity

A Dauphin, M Müller, M A Martin-Delgado, Markus Muller

New Journal of Physics, Volume: 16, Issue: 7, Start page: 073016

Swansea University Author: Markus Muller

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DOI (Published version): 10.1088/1367-2630/16/7/073016

Abstract

We propose and construct a numerical algorithm to calculate the Berry conductivityin topological band insulators. The method is applicable to cold atomsystems as well as solid state setups, both for the insulating case where the Fermienergy lies in the gap between two bulk bands as well as in the me...

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Published in: New Journal of Physics
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa28643
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spelling 2017-05-28T19:37:58.5470842 v2 28643 2016-06-03 Efficient algorithm to compute the Berry conductivity 9b2ac559af27c967ece69db08b83762a Markus Muller Markus Muller true false 2016-06-03 FGSEN We propose and construct a numerical algorithm to calculate the Berry conductivityin topological band insulators. The method is applicable to cold atomsystems as well as solid state setups, both for the insulating case where the Fermienergy lies in the gap between two bulk bands as well as in the metallic regime.This method interpolates smoothly between both regimes. The algorithm isgauge-invariant by construction, efficient, and yields the Berry conductivity withknown and controllable statistical error bars. We apply the algorithm to severalparadigmatic models in the field of topological insulators, including Haldaneʼsmodel on the honeycomb lattice, the multi-band Hofstadter model, and the BHZmodel, which describes the 2D spin Hall effect observed in CdTe/HgTe/CdTequantum well heterostructures. Journal Article New Journal of Physics 16 7 073016 Topological Insulators, Cold Atoms, Berry conductivity 14 7 2014 2014-07-14 10.1088/1367-2630/16/7/073016 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-05-28T19:37:58.5470842 2016-06-03T17:48:20.4740306 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics A Dauphin 1 M Müller 2 M A Martin-Delgado 3 Markus Muller 4 0028643-05062016113907.pdf Mueller_NJP_2014.pdf 2016-06-05T11:39:07.1870000 Output 2013799 application/pdf Version of Record true 2016-06-05T00:00:00.0000000 Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. true
title Efficient algorithm to compute the Berry conductivity
spellingShingle Efficient algorithm to compute the Berry conductivity
Markus Muller
title_short Efficient algorithm to compute the Berry conductivity
title_full Efficient algorithm to compute the Berry conductivity
title_fullStr Efficient algorithm to compute the Berry conductivity
title_full_unstemmed Efficient algorithm to compute the Berry conductivity
title_sort Efficient algorithm to compute the Berry conductivity
author_id_str_mv 9b2ac559af27c967ece69db08b83762a
author_id_fullname_str_mv 9b2ac559af27c967ece69db08b83762a_***_Markus Muller
author Markus Muller
author2 A Dauphin
M Müller
M A Martin-Delgado
Markus Muller
format Journal article
container_title New Journal of Physics
container_volume 16
container_issue 7
container_start_page 073016
publishDate 2014
institution Swansea University
doi_str_mv 10.1088/1367-2630/16/7/073016
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description We propose and construct a numerical algorithm to calculate the Berry conductivityin topological band insulators. The method is applicable to cold atomsystems as well as solid state setups, both for the insulating case where the Fermienergy lies in the gap between two bulk bands as well as in the metallic regime.This method interpolates smoothly between both regimes. The algorithm isgauge-invariant by construction, efficient, and yields the Berry conductivity withknown and controllable statistical error bars. We apply the algorithm to severalparadigmatic models in the field of topological insulators, including Haldaneʼsmodel on the honeycomb lattice, the multi-band Hofstadter model, and the BHZmodel, which describes the 2D spin Hall effect observed in CdTe/HgTe/CdTequantum well heterostructures.
published_date 2014-07-14T03:34:53Z
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score 11.012678

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