Thermodynamics and Transverse Field in Topological Insulating Materials: an Approach to the BHZ Model through an Ising Pseudo-spins Network
topologi al insulator , BHZ model, Edge transverse eld Ising model
In this thesis, we propose an Ising-like dis rete pseudo-spins Hamiltonian, with an open
boundary and a transverse eld applied at the edge of the system (Transverse Ising
Model, TIM), whi h has the same formal stru ture of a dis retized semi- lassi al version of the Bernevig-Hughes-Zhang model (BHZ) for topologi al insulators. We show
that there is a partial symmetry that onne ts the mean-eld results at T = 0 for the
BHZ model to the mean-eld results (also at T = 0) of the TIM model. We study the
thermodynami s of the model in the mean-eld approximation and show the similarity
of the results found for the mean values of pseudo-spins at the boundary of the system
with the density of harge arriers at the edge of 2D topologi al insulators. In parti ular, we ompared our results to experimental measurements on Iron-Germanium
Telluride. Our results suggest that the lassi al pseudo-spins model an be used to
des ribe, at least qualitatively, the behavior of transport measurements on topologi al
insulators.