Citation:
Matthew F. Lapa and Michael Levin. 2020. “Rigorous Results on Topological Superconductivity with Particle Number Conservation.” Phys. Rev. Lett., 124, Pp. 257002.
Ultra-Quantum Matter
Recent developments demonstrate that in the right circumstances, quantum aspects can extend to macroscopic scale. This is UQM.
Recent Publications
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.Prediction of Toric Code Topological Order from Rydberg Blockade
Citation:
Ruben Verresen, Mikhail D. Lukin, and Ashvin Vishwanath. 2021. “Prediction of Toric Code Topological Order from Rydberg Blockade.” Phys. Rev. X. Publisher's Version
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.
Rigorous Results on Topological Superconductivity with Particle Number Conservation
Citation:
Matthew F. Lapa and Michael Levin. 2020. “Rigorous Results on Topological Superconductivity with Particle Number Conservation.” Phys. Rev. Lett., 124, Pp. 257002.
Fractional Chern insulator states in twisted bilayer graphene: An analytical approach
Citation:
Patrick J. Ledwith, Grigory Tarnopolsky, Eslam Khalaf, and Ashvin Vishwanath. 2020. “Fractional Chern insulator states in twisted bilayer graphene: An analytical approach.” Physical Review Research, 2, Pp. 023237.
Fractonic order and emergent fermionic gauge theory
Citation:
Wilbur Shirley. 2020. “Fractonic order and emergent fermionic gauge theory.” arXiv:2002.12026.
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