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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
Apr
6
comment How to understand the entanglement in a lattice fermion system?
Here is a very nice answer by Prof.Wen on overflow: physicsoverflow.org/6359/…
Apr
6
revised How to understand the entanglement in a lattice fermion system?
edited tags
Apr
6
comment Interacting fermionic SPT phases in 2d with time-reversal symmetry
Thanks a lot. Naively thinking, if the fermion Hamiltonian contains terms like $c+c^\dagger$, then it seems that the fermion-number-parity symmetry is explicitly broken, does this situation make sense?
Apr
5
comment Interacting fermionic SPT phases in 2d with time-reversal symmetry
Hi Everett, I have some confusions:(1).As to the notation $Z_2^T$ with $T^2=-1$, the symmetry group generated by TR symmetry seems to be $Z_2^T=[1,T,T^2,T^3]$, which is in fact a $Z_4$ group, so why don't we use the notation $Z_4^T$ instead of $Z_2^T$? (2). Is the fermion-number-parity symmetry mentioned in your comments same as the particle-hole symmetry in the classification table? And should we distinguish them? Thank you very much!
Mar
29
comment Topological ground state degeneracy of SU(N), SO(N), Sp(N) Chern-Simons theory
@Idear And does the level index k=2C (C is the band Chern-number)? Thank you very much!
Mar
29
comment Topological ground state degeneracy of SU(N), SO(N), Sp(N) Chern-Simons theory
@Idear Dear Idear, I don't understand the Chern-Simons theory at all, and here I have a naive question: Consider the Schwinger-fermion mean-field (MF) approach to a lattice spin-1/2 model, if the fermionic MF Hamiltonian describes a spin-liquid (SL) ground-state (GS), where the Invariant Gauge Group (IGG) is IGG=SU(2) and it has a band Chern-number C=2 (assuming the MF Hamiltonian has two no-crossing energy bands, one is positive and the other is negative). Does this imply that the low energy effective theory of this SL GS is a $SU(2)_4$ Chern-Simons theory?