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1 vote
1 answer
150 views

What are the implications that the Hamiltonian of a material lacks time reversal symmetry?

When reading about topological insulators and the quantum Hall effect, I've read that some Hamiltonians of the crystal structure representing the "materials" lack time reversal symmetry. My question ...
untreated_paramediensis_karnik's user avatar
6 votes
2 answers
1k views

A simple conjecture on the Chern number of a 2-level Hamiltonian $H(\mathbf{k})$?

For example, let's consider a quadratic fermionic Hamiltonian on a 2D lattice with translation symmetry, and assume that the Fourier transformed Hamiltonian is described by a $2\times2$ Hermitian ...
Kai Li's user avatar
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