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| bio | website | chenchaozhao.wikispaces.com |
|---|---|---|
| location | ||
| age | 23 | |
| visits | member for | 8 months |
| seen | yesterday | |
| stats | profile views | 132 |
Senior undergraduate at Beijing Normal University
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May 14 |
comment |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? I see, thanks a lot! |
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May 13 |
comment |
Fermi level for the bulk of topological insulator Yes, there are always impurities in real samples. In your question, you only need to care about whether they are electron donors or acceptors. Impurities themselves may lead to amazing effects which are more sophisticated than your question. |
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May 13 |
comment |
Fermi level for the bulk of topological insulator Your question can be asked for any solids not specifically for TI. Chemical potential indicates the energy of doped atoms which are "hidden" as background in band structure calculations. For superconductors, chemical potential also lies in the superconducting gap and this chemical potential is the energy of superconducting electron pairs which are also "hidden as the background." |
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May 13 |
comment |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? I see, thanks! Suppose I could show that in the variational ansatz, the doublon and holon were attractive to each other, will it be convincing to predict the Mott transition even though I do not scan the filling? |
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May 13 |
comment |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? I calculated two-site Hubbard model and found the double occupation is $\sim (t/U)^2$. As long as $U/t$ is finite, double occupation is finte, there is no Mott transition in this sense. I argue that the dimerized ground state can be viewed as decoupled two-site Hubbard models and so there is no Mott transition. My point is that dimerization -> no Mott transition. If my arguement is false, then what's the physical mechanism that bound holons and doublons? |
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May 12 |
revised |
Why doublons and holons are not bounded in spin-1/2 Hubbard chain? added 258 characters in body |
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May 12 |
asked | Why doublons and holons are not bounded in spin-1/2 Hubbard chain? |
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Apr 17 |
comment |
How to put spin-1/2 Fermi sea into real space representation? Thanks for the comment. When it comes to metal-mott insulator transition, we need to distinguish sites with single and double occupations. Then we have to do that with real space configurations. I should have clarified this. |
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Apr 16 |
asked | How to put spin-1/2 Fermi sea into real space representation? |
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Mar 19 |
asked | 2-body interaction energy of 3 particles |
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Feb 10 |
accepted | Many faces of linear response theory |
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Feb 1 |
comment |
Proof of quantization of magnetic charge of monopoles using homotopy groups Yet, TKNN invariant are known to be first "Chern" numbers. |
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Feb 1 |
comment |
Proof of quantization of magnetic charge of monopoles using homotopy groups I see. Does it apply to all closesd 2D surfaces with non-zero curvature? e.g. a $T^2$? In this case the TKNN invariant also reads $\pi_1 (U(1)) = \mathbb Z$ |
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Feb 1 |
asked | Proof of quantization of magnetic charge of monopoles using homotopy groups |
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Jan 25 |
revised |
First Chern number, monoples and quantum Hall states added 317 characters in body |
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Jan 25 |
comment |
First Chern number, monoples and quantum Hall states Thank you for the comment. My point is that mathematical theorems are not God-given but arose from concrete problems. I was asking what was the original problem that Chern solved, from which he codified the general theorems? And Chern number seems related to vorticity and then what are the corresponding vortices in his problem? |
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Jan 25 |
asked | First Chern number, monoples and quantum Hall states |
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Jan 8 |
answered | Questions about Thouless-Kohmoto-Nightingale-den Nijs (TKNN) paper |
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Jan 8 |
accepted | What is the simplest possible topological Bloch function? |
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Jan 6 |
asked | Questions about Thouless-Kohmoto-Nightingale-den Nijs (TKNN) paper |
