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.
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