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The tag applies to electrical resistance and resistors. DO NOT USE THIS TAG for non-electrical resistance.

1 vote
1 answer
88 views

Does DC longitudinal conductivity diverge/vanish for a noninteracting system?

Consider a free electron system, say, a tight-binding lattice model. Does its DC longitudinal conductivity from the Kubo formula always diverge/vanish theoretically? Since there is not any scattering/ …
xiaohuamao's user avatar
  • 3,802
2 votes
1 answer
82 views

Can one measure general electrical conductivity $\sigma(q,\omega)$ on surface?

Electrical conductivity $\sigma(q,\omega)$ can be frequency and momentum dependent in general for electric fields with a spatiotemporal variation. Experimentally, is it possible to measure such a quan …
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  • 3,802
1 vote
1 answer
145 views

Does delta-function always enter the real part of conductivity?

A well-known general form of electrical conductivity for a free system is $$\sigma_{\mu\nu}(\omega)=\frac{i\hbar}{V}\sum_{mn} \frac{f_n-f_m}{\varepsilon_m-\varepsilon_n} \frac{\langle n \lvert j_{\mu} …
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2 votes
0 answers
197 views

Contradicting Kubo formula with momentum in literatures

Kubo formula of electrical conductivity $\sigma(q,\omega)$ can be frequency and momentum dependent in general, which includes the paramagnetic term ($j_q^\dagger\mathrm{-}j_q$ correlation function $\P …
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  • 3,802
1 vote
0 answers
363 views

Second-order optical conductivity in Green's function form

In linear response, Kubo formula can be given in terms of eigenstates and the Hamiltonian as $$\sigma_{\mu\nu}(\omega)=\frac{i\hbar}{V}\sum_{mn} \frac{f_n-f_m}{\varepsilon_m-\varepsilon_n} \frac{\lang …
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  • 3,802
2 votes
2 answers
88 views

Quantum Hall effect diverges at $B=0$

In the integer quantum Hall effect, with the applied magnetic field reduced, more and more LLs get filled and one can observe higher and higher plateaus in the Hall conductivity $\sigma_H(B)$. Superfi …
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  • 3,802
4 votes
0 answers
113 views

Does Hall conductivity change sign with chemical potential?

The transverse conductivity $\sigma_{xy}$ at zero frequency is quantized when the chemical potential $\mu$ is within the gap for a topological system. A typical plot of $\sigma_{xy}(\mu)$ is like the …
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  • 3,802
3 votes
0 answers
84 views

Zero frequency limit of Hall conductivity not quantized?

The transverse conductivity $\sigma_{xy}$ at zero frequency is quantized when the chemical potential $\mu$ is within the gap for a topological system, such as quantum Hall effect and Haldane model. An …
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2 votes
0 answers
91 views

Does bubble-phonon-bubble diagram matter for conductivity of electron-phonon system?

In linear response, electrical conductivity due to electron-phonon coupling (EPC) is calculated by using the Kubo formula. Typically, electronic self-energy due to such coupling is included, and such …
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4 votes
1 answer
563 views

Why is Hall response $(\sigma_{xy}-\sigma_{yx})/2$ rather than $\sigma_{xy}$?

In this PRL paper (and other works like the review article), the Hall response is defined as the antisymmetric part $$\sigma_H=(\sigma_{xy}-\sigma_{yx})/2$$ instead of $\sigma_{xy}$ itself. What is th …
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