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2 9 M ar 2 01 6 Transport in a One-Dimensional Hyperconductor
| Content Provider | Semantic Scholar |
|---|---|
| Author | Plamadeala, Eugeniu Mulligan, Michael Nayak, Chetan |
| Copyright Year | 2018 |
| Abstract | We define a ‘hyperconductor’ to be a material whose electrica l and thermal DC conductivities are infinite at zero temperature and finite at any non-zero temperature. The low-temperature behavior of a hyperconductor is controlled by a quantum critical phase of interacting ele ctrons that is stable to all potentially-gap-generating interactions and potentially-localizing disorder. In thi s paper, we compute the low-temperature DC and AC electrical and thermal conductivities in a one-dimensiona l hyperconductor, studied previously by the present authors, in the presence of both disorder and umklapp scatte ring. We identify the conditions under which the transport coefficients are finite, which allows us to exhibit examples of violations of the Wiedemann-Franz law. The temperature dependence of the electrical conductivity , which is characterized by the parameter ∆X , is a power law,σ ∝ 1/T 1−2(2−∆X ) when∆X ≥ 2, down to zero temperature when the Fermi surface is commensurate with the lattice. There is a surface in parameter s pace along which∆X = 2 and∆X ≈ 2 for small deviations from this surface. In the generic (incommensura te) case with weak disorder, such scaling is seen at high-temperatures, followed by an exponential increase of the conductivityln σ ∼ 1/T at intermediate temperatures and, finally, σ ∝ 1/T 2−2(2−∆X ) at the lowest temperatures. In both cases, the thermal condu tivity diverges at low temperatures. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1509.04280 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
