%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 }