All Questions
4
questions
1
vote
1
answer
118
views
Time reversal in a two-band system
Suppose I have a 3D system of spinless fermions described by the following two-band model Hamiltonian:
$$
H(\vec{k})=\vec{d}(\vec{k}) \cdot \vec{\sigma}
$$
where $\vec{d}=\left(-\sin k_{x},-\sin k_{y},...
- 43
2
votes
2
answers
459
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What does "parity eigenvalue" mean in Fu-Kane formula?
I'm studying the online course "Topology in Condensed Matter", in the QSHE section (<https://topocondmat.org/w5_qshe/fermion_parity_pump.html>), I've studied the Fu-Kane formula
$$ Q=\...
- 71
1
vote
0
answers
81
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Algebra of Time Reversal and Particle Hole Symmetry in 10-fold Classification of Topological Insulator/superconductor
In the ten fold classification of TI/TSC, when time reversal symmetry $\mathcal{T}$ and particle hole symmetry $\mathcal{P}$ are both present, i.e., in the symmetry classes BDI, DIII, CII, CI, for all ...
- 407
4
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0
answers
3k
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Compute $Z_2$ Invariant of 2D Topological Insulators without Computing the Eigenstates
For 2D Time-Reversal Invariant systems ($T H(\vec{k}) T^{-1} = H(-\vec{k}) $), there is a formula by Fu-Kane-Mele in order to determine whether the system belongs to either one of distinct topological ...
- 2,024