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Apr
25
comment Does the projected spin state of the $d+id$ mean-field Hamiltonian on a triangular lattice has time-reversal(TR) symmetry?
See the discussion of TR symmetry and Wilson loops in arXiv:1409.7820
Apr
25
comment A simple conjecture on the Chern number of a 2-level Hamiltonian $H(\mathbf{k})$?
See the Supplemental Material in arXiv:1604.04781
Mar
24
awarded  Popular Question
Feb
28
awarded  Yearling
Feb
17
accepted Why is the projective symmetry group (PSG) called projective?
Feb
17
comment Naive questions on the ground states of Kitaev model
@Ruben Verresen Thanks for your comment. Sure, I would be interested in your suggested references.
Nov
14
accepted Some questions about anyons?
Nov
14
comment Some questions about anyons?
@Praan thank you!
Oct
31
comment Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
I'm sorry that I did not express the results clearly. Our numerical methods (CPT and VCA) cannot find the ground state and cannot determine whether the ground-state is unique or not, and I think the uniqueness being implicitly assumed in our work since we have used the Chern number formula. I'm writing the paper recently and I'm pleased to send you a manuscript after I finish it if you are interested in it.
Oct
31
comment Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
Actually our recent work on a Hubbard model gives the known results '(2)' and '(3)' presented in my question via numerical calculations of Green’s function, but we cannot determine whether the ground-state is degenerate and we assume the uniqueness such that the Green’s function expression for the Chern number makes sense. I also did a slave-rotor mean-field calculation which (of course) yields a fractionalized CI $\mid \Psi_f \rangle$ for spinons, but I'm mot sure the slave-rotor approach is whether compatible with the numerical approach.
Oct
31
comment Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
thanks for your reminding, I missed some projection for recovering the physical electron state. If the rotor state $\mid \Psi_\theta \rangle$ is a Mott phase such that the corresponding electron state $\mid \Psi_{TMI} \rangle$ is a Mott insulator, does this spin-charge separation of electrons imply that the TMI state $\mid \Psi_{TMI} \rangle$ of the Hubbard model must be degenerate and hence cannot be a fermionic SPT ?
Oct
30
accepted Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
Oct
30
comment Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
thank you for the answer. I think we are interested in the second meaning of TMI (as a fermionic SPT) as you mentioned. In the slave-rotor mean-field description, the TMI state is a direct product of the rotor state and the spinon state, i.e., $\mid \Psi_{TMI}>=\mid \Psi_{\theta }> \otimes \mid \Psi_{f}> $. Without saying topological degeneracy, is it possible that the projected spin state $\mid \Psi_{spin}>=P\mid \Psi_{f}>$ has a nonzero topological entanglement entropy while $\mid \Psi_{TMI}>$ is a fermionic SPT state?
Oct
20
revised Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
deleted 29 characters in body; edited tags; edited title
Oct
16
asked Can a nondegenerate fermionic topological Mott insulator (TMI) state support an emergent bosonic topological order?
Oct
16
revised Emergent symmetries
added 53 characters in body
Jul
25
awarded  Popular Question
Apr
8
awarded  Popular Question
Apr
6
comment Questions on the elementary excitations in the resonating-valence-bond(RVB) states?
Here is a very nice answer by Prof.Wen on overflow: physicsoverflow.org/6327/…
Apr
6
revised Questions on the elementary excitations in the resonating-valence-bond(RVB) states?
edited tags