Linearity of the edge states energy spectrum in the 2D topological insulator

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Linearity of the edge states energy spectrum in the 2D topological insulator. / Entin, M. V.; Mahmoodian, M. M.; Magarill, L. I.

в: Europhysics Letters, Том 118, № 5, 57002, 01.06.2017.

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

BibTeX

@article{62ef976f0a5a4b32b1ca410a9273fa06,

title = "Linearity of the edge states energy spectrum in the 2D topological insulator",

abstract = "Linearity of the topological insulator edge state spectrum plays a crucial role for various transport phenomena. Previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the linearity is. The purpose of the present study is to answer this question in various edge states models. We examine Volkov and Pankratov (VP) model for the Dirac Hamiltonian and the model BHZ for the Bernevig, Hughes and Zhang (BHZ) Hamiltonian with zero boundary conditions. It is found that both models yield ideally linear edge states. In the BHZ1 model the linearity is conserved up to the spectrum ending points corresponding to the tangency of the edge spectrum with the boundary of 2D states. In contrast, the model BHZ2 with mixed boundary conditions for BHZ Hamiltonian and the 2D tight-binding (TB) model yield weak nonlinearity.",

author = "Entin, {M. V.} and Mahmoodian, {M. M.} and Magarill, {L. I.}",

year = "2017",

month = jun,

day = "1",

doi = "10.1209/0295-5075/118/57002",

language = "English",

volume = "118",

journal = "Europhysics Letters",

issn = "0295-5075",

publisher = "IOP Publishing Ltd.",

number = "5",

}

RIS

TY - JOUR

T1 - Linearity of the edge states energy spectrum in the 2D topological insulator

AU - Entin, M. V.

AU - Mahmoodian, M. M.

AU - Magarill, L. I.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Linearity of the topological insulator edge state spectrum plays a crucial role for various transport phenomena. Previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the linearity is. The purpose of the present study is to answer this question in various edge states models. We examine Volkov and Pankratov (VP) model for the Dirac Hamiltonian and the model BHZ for the Bernevig, Hughes and Zhang (BHZ) Hamiltonian with zero boundary conditions. It is found that both models yield ideally linear edge states. In the BHZ1 model the linearity is conserved up to the spectrum ending points corresponding to the tangency of the edge spectrum with the boundary of 2D states. In contrast, the model BHZ2 with mixed boundary conditions for BHZ Hamiltonian and the 2D tight-binding (TB) model yield weak nonlinearity.

AB - Linearity of the topological insulator edge state spectrum plays a crucial role for various transport phenomena. Previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the linearity is. The purpose of the present study is to answer this question in various edge states models. We examine Volkov and Pankratov (VP) model for the Dirac Hamiltonian and the model BHZ for the Bernevig, Hughes and Zhang (BHZ) Hamiltonian with zero boundary conditions. It is found that both models yield ideally linear edge states. In the BHZ1 model the linearity is conserved up to the spectrum ending points corresponding to the tangency of the edge spectrum with the boundary of 2D states. In contrast, the model BHZ2 with mixed boundary conditions for BHZ Hamiltonian and the 2D tight-binding (TB) model yield weak nonlinearity.

UR - http://www.scopus.com/inward/record.url?scp=85028666649&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/118/57002

DO - 10.1209/0295-5075/118/57002

M3 - Article

AN - SCOPUS:85028666649

VL - 118

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 5

M1 - 57002

ER -

ID: 9916956