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| bio | website | |
|---|---|---|
| location | Beijing, China | |
| age | 26 | |
| visits | member for | 1 year, 3 months |
| seen | 1 hour ago | |
| stats | profile views | 518 |
I am a graduate student studying condensed matter theory at Tsinghua Univeristy, China.
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May 14 |
comment |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? I think attraction is not important. One should show that the doublon and holon are gapped. A metal gets Mott simply because of the development of the charge gap, but not the confinement of charge. |
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May 13 |
comment |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? In your opinion, if the wave function contains finite weight of the double occupation component, then it is not Mott. Then there would be no Mott insulator in any case, because as long as $U/t$ is finite, the double occupancy weight will not vanish. 1. Mott transition is a phase transition of many-body system and can not be understood locally. 2. The character of Mott is the Mott gap, not the vanishing weight of double occupancy. Even if the wave function contains double occupancy, its excitation can still be gapped, and hence in a Mott phase. |
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May 12 |
comment |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? At half-filling, the Hubbard model is reduced to the Heisenberg model without hopping, not the $t$-$J$ model. In the large $U$ limit, holons and doublons are simply gapped from low-energy. The dimerization/Neel order and the Mott transition are not related. Because there are dimerized Mott insulators and spin-liquid (Mott insulator without Neel order) in 2D, which are conter examples to your statement. The 1D system is just a special case. |
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May 11 |
comment |
What is the difference between spin glass and spin liquid? Because they are classical spin models, or the spin is large such that the fluctuation is weak. |
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May 10 |
comment |
What is the difference between spin glass and spin liquid? They are both frustrated. The difference resides in the level of quantum fluctuation. The spin glass has no quantum fluctuation, but the spin liquid has very strong quantum fluctuation. |
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May 8 |
revised |
Is there a critical order of the Abelian gauge theory in (2+1)D added 69 characters in body |
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May 8 |
asked | Is there a critical order of the Abelian gauge theory in (2+1)D |
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May 6 |
revised |
How to understand the emergent special relativity in the superfluid? deleted 4 characters in body |
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May 6 |
asked | How to understand the emergent special relativity in the superfluid? |
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May 5 |
revised |
What're the relations and differences between slave-fermion and slave-boson formalism? typo |
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May 5 |
comment |
What're the relations and differences between slave-fermion and slave-boson formalism? @K-boy In my answer above, I mentioned electron can not Bose-condense, which literally means electron can not simply condense as bosons (in the most narrow sense). The reason that I stress "Bose"-condense is because I know there is the possibility of fermion condensation, which, however, is not relavent to our discussion of the slave-particle theory. |
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May 5 |
comment |
What're the relations and differences between slave-fermion and slave-boson formalism? @K-boy Yes, I think it was Prof. Wen and his former student Maissam who invented this term "anyon condensation"(arxiv.org/abs/1007.2030), which includes fermion condensation as a special case. By condensation, we mean the many-body system is in a superposition state of all possible configurations, a state of the strongest quantum fluctuation, a melted liquid state. Boson condensation, anyon condensation, and string-net condensation all share this meaning. Specifically fermion condensation simply means superconductivity, in which fermions are fluctuating strongly. |
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May 5 |
comment |
What is the mathematical reason for topological edge states? Thanks for your explanation ^_^. I think I am getting confortable with the bulk topology argument now. Is this argument provable in the context of Chern-Simons theory? |
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May 5 |
revised |
What're the relations and differences between slave-fermion and slave-boson formalism? add one more reference |
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May 5 |
revised |
What're the relations and differences between slave-fermion and slave-boson formalism? typo |
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May 5 |
revised |
What're the relations and differences between slave-fermion and slave-boson formalism? typo; added 4 characters in body |
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May 5 |
revised |
What're the relations and differences between slave-fermion and slave-boson formalism? added 132 characters in body |
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May 5 |
answered | What're the relations and differences between slave-fermion and slave-boson formalism? |
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Apr 29 |
accepted | What is the mathematical reason for topological edge states? |
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Apr 20 |
comment |
Calculation of the quantized Hall coefficient in the Integral Quantum Hall Effect It seems to me that your question is not about the calculation of the quantized Hall coefficient, but the calculation of numer density of 2D electron gas. I would suggest to modify the title of this question. |
