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arXiv · 1809.09821

An Interplay of Topology and Quantized Geometric Phase for two Different Symmetry-Class Hamiltonians

Rahul S·Ranjith Kumar R·Y R Kartik·Amitava Banerjee·Sujit Sarkar
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Abstract

Study of symmetry, topology and geometric phase can reveal many new and interesting results on the topological states of matter. Here we present a completely new and interesting result of symmetry, topology and quantization of geometric phase along with the physical explanation for two different symmetry classes. We present a detailed study of the auxiliary space for two different symmetry classes of Hamiltonians. We show explicitly that the origin of the auxiliary space inside the curve is only a necessary condition but it is not a sufficient condition for the topological state. One of the most interesting results is that same symmetry-class Hamiltonians show different behaviour in topology and quantized geometric phase.

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Rahul S, Ranjith Kumar R, Y R Kartik, Amitava Banerjee, Sujit Sarkar. 2018-09-26. An Interplay of Topology and Quantized Geometric Phase for two Different Symmetry-Class Hamiltonians. https://doi.org/10.1088/1402-4896%2Fab1d7b

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