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The tag applies to electrical resistance and resistors. DO NOT USE THIS TAG for non-electrical resistance.
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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/ …
2
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1
answer
82
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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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1
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145
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Does delta-function always enter the real part of conductivity?
A well-known general form of electrical conductivity for a free system is $$\sigma_{\mu\nu}(\omega)=\frac{i\hbar}{V}\sum_{mn} \frac{f_n-f_m}{\varepsilon_m-\varepsilon_n} \frac{\langle n \lvert j_{\mu} …
2
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0
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197
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Contradicting Kubo formula with momentum in literatures
Kubo formula of electrical conductivity $\sigma(q,\omega)$ can be frequency and momentum dependent in general, which includes the paramagnetic term ($j_q^\dagger\mathrm{-}j_q$ correlation function $\P …
1
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0
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363
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Second-order optical conductivity in Green's function form
In linear response, Kubo formula can be given in terms of eigenstates and the Hamiltonian as
$$\sigma_{\mu\nu}(\omega)=\frac{i\hbar}{V}\sum_{mn} \frac{f_n-f_m}{\varepsilon_m-\varepsilon_n} \frac{\lang …
2
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2
answers
88
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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 …
4
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0
answers
113
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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 …
3
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0
answers
84
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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 …
2
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0
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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 …
4
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1
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563
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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 …