The energy band of a topological insulator is calculated taken into
account second and third neighbors. A tight-binding model based on the
Bernevig-Hughes-Zhang (BHZ) approach for quantum wells is used to
calculate the energies. The BHZ model is characterized by the mass term M(q) = Delta - Bq(2). In the microscopic theory used here, the mass term is E-(q) = Delta - B(sin(2) q(x)a/2 + sin(2) q(y)a/2). That is modified
when second and/or third neighbors are included in the model. As a
consequence, depending on the parameters used the range where the
material is an insulator is changed. (C) 2017 Elsevier B.V. All rights
reserved.
%0 Journal Article
%1 WOS:000402948500014
%A de Vieira Filho, Anilton Brito
%A Filho, Raimundo N Costa
%C PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
%D 2017
%I ELSEVIER SCIENCE BV
%J PHYSICS LETTERS A
%K Edge Tight binding insulators; model; states} {Topological
%N 25-26
%P 2123-2126
%R 10.1016/j.physleta.2017.04.027
%T Topological insulators with second and third-neighbor couplings
%V 381
%X The energy band of a topological insulator is calculated taken into
account second and third neighbors. A tight-binding model based on the
Bernevig-Hughes-Zhang (BHZ) approach for quantum wells is used to
calculate the energies. The BHZ model is characterized by the mass term M(q) = Delta - Bq(2). In the microscopic theory used here, the mass term is E-(q) = Delta - B(sin(2) q(x)a/2 + sin(2) q(y)a/2). That is modified
when second and/or third neighbors are included in the model. As a
consequence, depending on the parameters used the range where the
material is an insulator is changed. (C) 2017 Elsevier B.V. All rights
reserved.
@article{WOS:000402948500014,
abstract = {The energy band of a topological insulator is calculated taken into
account second and third neighbors. A tight-binding model based on the
Bernevig-Hughes-Zhang (BHZ) approach for quantum wells is used to
calculate the energies. The BHZ model is characterized by the mass term M(q) = Delta - Bq(2). In the microscopic theory used here, the mass term is E-(q) = Delta - B(sin(2) q(x)a/2 + sin(2) q(y)a/2). That is modified
when second and/or third neighbors are included in the model. As a
consequence, depending on the parameters used the range where the
material is an insulator is changed. (C) 2017 Elsevier B.V. All rights
reserved.},
added-at = {2022-05-23T20:00:14.000+0200},
address = {PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS},
author = {de Vieira Filho, Anilton Brito and Filho, Raimundo N Costa},
biburl = {https://www.bibsonomy.org/bibtex/2fe4aad36d0350380723d03a0f0b59e85/ppgfis_ufc_br},
doi = {10.1016/j.physleta.2017.04.027},
interhash = {558e02af43531c8027f6af8892115b92},
intrahash = {fe4aad36d0350380723d03a0f0b59e85},
issn = {0375-9601},
journal = {PHYSICS LETTERS A},
keywords = {Edge Tight binding insulators; model; states} {Topological},
number = {25-26},
pages = {2123-2126},
publisher = {ELSEVIER SCIENCE BV},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Topological insulators with second and third-neighbor couplings},
tppubtype = {article},
volume = 381,
year = 2017
}