All Questions
Tagged with anticommutator condensed-matter
6
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What is the motivation for the Self-Dual Canonical Anticommutation Relation (CAR) algebra?
What exactly is the motivation for the use of the Self-Dual Canonical Anticommutation Relation (CAR) algebra in the context of infinite lattice systems? Why not remain with the CAR algebra, as both ...
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Finding chiral-symmetric degenerate states numerically
I am dealing with a Chiral-symmetric Hamiltonian such that
$$
ππ»π^{β1}=βπ».
$$
Two of its eigenstates have zero eigenvalue and fulfill $πβ£π_{\alpha}β©=π^{ππ_{\alpha}}β£π_{\alpha}β©$, while the ...
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Why must the Bogoliubov transform preserve anticommutation relations?
$\mathbf{Background}$:
In my research I am studying the Ising model, expressed in terms of Jordan-Wigner fermions:
$$
H = \sum_{j=1}^n(c_j - c_j^\dagger)(c_{j+1} + c_{j+1}^\dagger) + \lambda c_jc_j^\...
- 101
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Why do we use the anticommutation relation for particle-hole and chiral symmetries?
In physics we say that a quantity is conserved, if its operator commutes with Hamiltonian.
For example, in condensed matter systems, when the momentum $k$ commutes with the Hamiltonian $H$ as $[H,k]=...
- 343
4
votes
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Anticommutatorrelation in Bogoliubov-de Gennes Hamiltonian
I almost solved the problem Equivalence of Bogoliubov-de Gennes Hamiltonian for nanowire. In the next steps I used the notation by arXiv:0707.1692:
$$
\Psi^{\dagger} = \left(\left(\psi_{\uparrow}^{\...
user27964
5
votes
2
answers
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Imposing anti-commutation relations on fermionic quasi-particles
In many theories of CMT, we assume the nature of quasi-particles (without giving proper justifications). For example, we assume nature of quasi-particles to be fermionic in case of a interacting ...
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