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Cited by 312

The DOI matches its Crossref record; 67 of the 67 references it cites were found in a registry or an index.

Nonzero-temperature transport near quantum critical points

Open access
Damle, Kedar, Sachdev, Subir·1997·Physical Review B
DOI 10.1103/physrevb.56.8714
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Abstract

We describe the nature of charge transport at nonzero temperatures $(T)$ above the two-dimensional $(d)$ superfluid-insulator quantum-critical point. We argue that the transport is characterized by inelastic collisions among thermally excited carriers at a rate of order ${k}_{B}T/\ensuremath{\Elzxh}$. This implies that the transport at frequencies $\ensuremath{\omega}\ensuremath{\ll}{k}_{B}T/\ensuremath{\Elzxh}$ is in the hydrodynamic, collision-dominated (or incoherent) regime, while $\ensuremath{\omega}\ensuremath{\gg}{k}_{B}T/\ensuremath{\Elzxh}$ is the collisionless (or phase-coherent) regime. The conductivity is argued to be ${e}^{2}/h$ times a nontrivial universal scaling function of $\ensuremath{\Elzxh}\ensuremath{\omega}{/k}_{B}T$, and not independent of $\ensuremath{\Elzxh}\ensuremath{\omega}{/k}_{B}T$, as has been previously claimed or implicitly assumed. The experimentally measured dc conductivity is the hydrodynamic $\ensuremath{\Elzxh}\ensuremath{\omega}{/k}_{B}T\ensuremath{\rightarrow}0$ limit of this function, and is a universal number times ${e}^{2}/h$, even though the transport is incoherent. Previous work determined the conductivity by incorrectly assuming it was also equal to the collisionless $\ensuremath{\Elzxh}\ensuremath{\omega}{/k}_{B}T\ensuremath{\rightarrow}\ensuremath{\infty}$ limit of the scaling function, which actually describes phase-coherent transport with a conductivity given by a different universal number times ${e}^{2}/h$. We provide a computation of the universal dc conductivity in a disorder-free boson model, along with explicit crossover functions, using a quantum Boltzmann equation and an expansion in $\ensuremath{\epsilon}=3\ensuremath{-}d$. The case of spin transport near quantum-critical points in antiferromagnets is also discussed. Similar ideas should apply to the transitions in quantum Hall systems and to metal-insulator transitions. We suggest experimental tests of our picture and speculate on a route to self-duality at two-dimensional quantum-critical points.

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Metadata

Authors
Damle, K., & Sachdev, S.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1997-10-01
Volume
56
Issue
14
Pages
8714-8733
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.56.8714
OpenAlex
W3022330524
Cited by
312
References
67
FWCI
6.52
Type
journal article
Language
en
Open access
green

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