Topological Insulators by Shun-Qing Shen

Author:Shun-Qing Shen
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

(7.1)

with and , and and . The first term, , breaks the particle-hole symmetry of the system. The linear term in is determined by the change in the parity of the different basis. Anisotropy of the crystal reveals that and . This will modify the effective velocity of the surface states.

This model can be understood as a result of the theory. Under the time reversal, and . Suppose the system is time reversal invariant. Expand the Hamiltonian near . The zero-order term is , where M represents the energy gap at the point, the first order term is since , and the second order term is , as under the time reversal. is the dispersion independent of inter-band coupling.

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