Critical drag as a mechanism for resistivity

Citation:

Dominic Else and T. Senthil. 6/29/2021. “Critical drag as a mechanism for resistivity”. arXiv

Abstract:

Critical drag is thus a mechanism for resistivity that, unlike conventional mechanisms, is unrelated to broken symmetries. We furthermore argue that an emergent symmetry that has the appropriate mixed anomaly with electric charge is in fact an inevitable consequence of compressibility in systems with lattice translation symmetry. Critical drag therefore seems to be the only way (other than through irrelevant perturbations breaking the emergent symmetry, that disappear at the renormalization group fixed point) to get nonzero resistivity in such systems. Finally, we present a very simple and concrete model -- the "Quantum Lifshitz Model" -- that illustrates the critical drag mechanism as well as the other considerations of the paper.
Last updated on 07/09/2021

Topology of superconductors beyond mean-field theory

Citation:

Matthew F Lapa. 2020. “Topology of superconductors beyond mean-field theory.” arXiv:2003.05948 (accepted for publication in Phys. Rev. Research). Physical Review Research

Abstract:

The study of topological superconductivity is largely based on the analysis of mean-field Hamiltonians that violate particle number conservation and have only short-range interactions. Although this approach has been very successful, it is not clear that it captures the topological properties of real superconductors, which are described by number-conserving Hamiltonians with long-range interactions. To address this issue, we study topological superconductivity directly in the number-conserving setting.
Last updated on 07/09/2021

Analyticity of replica correlators and ETH

Abstract:

We study the two point correlation function of a local operator on an $$n$$-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. We calculate the Renyi transform in $$2d$$ conformal field theories, and use it to extract the off-diagonal elements of (modular) ETH.
Last updated on 07/09/2021
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