• A study of curvature theory for different symmetry classes of Hamiltonian

• # Fulltext

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/095/0102

• # Keywords

Curvature theory; torsion; topological state of matter

• # Abstract

We study and present the results of curvature for different symmetry classes (BDI, AIII and A) of model Hamiltonians and also present the transformation of model Hamiltonian from one distinct symmetry class to the other based on the curvature property. We observe the mirror symmetric curvature for the Hamiltonian with BDI symmetry class but there is no evidence of such behaviour for Hamiltonians of AIII symmetry class. We show the origin of torsion and its consequences on the parameter space of topological phase of the system. We find the evidence of torsion for the Hamiltonian of A symmetry class. We present Serret–Frenet equations for all model Hamiltonians in R$^3$ space. To the best of our knowledge, this is the first application of curvature theory to the model Hamiltonian of different symmetry classes which belong to the topological state of matter.

• # Author Affiliations

1. Theoretical Sciences Division, Poornaprajna Institute of Scientific Research, Bidalur, Bengaluru 562 164, India
2. Graduate Studies, Manipal Academy of Higher Education, Madhava Nagar, Manipal 576 104, India

• # Pramana – Journal of Physics

Volume 96, 2022
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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