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TT: Fachverband Tiefe Temperaturen

TT 56: Superconductivity: Theory I

TT 56.8: Vortrag

Mittwoch, 11. März 2026, 17:00–17:15, CHE/0089

Superlinear Hall angle, magnetotransport, and superconductivity in solvable models for strange metals — •Davide Valentinis1,2, Aavishkar A. Patel3,4, Subir Sachdev5, and Joerg Schmalian2,11Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, Karlsruhe (DE) — 2Institute for Theoretical Condensed Matter physics, Karlsruhe (DE), Karlsruhe Institute of Technology — 3Center for Computational Quantum Physics, Flatiron Institute, New York (USA) — 4International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru (IN) — 5Harvard University, Cambridge, MA (USA)

We provide exact numerical solutions from the Kubo formula for the DC magnetoconductivity tensor of the two-dimensional (2D) spatially disordered Yukawa-Sachdev-Ye-Kitaev (2D-YSYK) model on a square lattice, at first order in applied perpendicular magnetic field. This system describes fermions endowed with a Fermi surface and coupled to a bosonic scalar field through spatially random Yukawa interactions, which admit mean-field exact numerical solutions. From the interplay between YSYK interactions and square-lattice embedding, and the non-Boltzmann frequency dependent self energies, we find a superlinear evolution of the Hall-angle cotangent and the inverse carrier mobility with temperature, concomitant with linear-in-temperature resistivity, in an extended crossover regime above the low-temperature Marginal Fermi Liquid (MFL) ground state. In addition, a superconducting state with finite phase stiffness, mediated by the same YSYK interactions, emerges out of the MFL.

Keywords: Yukawa-Sachdev-Ye-Kitaev; Hall angle; Superconductivity; Strange metals; non-Fermi liquids

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