Exact numerical solution of the fully-connected classical and quantum Heisenberg spin glass

Abstract

We present the mean field solution of the quantum and classical Heisenberg spin glasses, using the combination of a high precision numerical solution of the Parisi full replica symmetry breaking equations and a continuous time Quantum Monte Carlo. We characterize the spin glass order and its low-energy excitations down to zero temperature. The Heisenberg spin glass has a rougher energy landscape than its Ising analogue, and exhibits a very slow temperature evolution of its dynamical properties. We extend our analysis to the doped, metallic Heisenberg spin glass, which displays an unexpectedly slow spin dynamics reflecting the proximity to the melting quantum critical point and its associated Sachdev-Ye-Kitaev Planckian dynamics.

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Cited by in corpus (5)

• Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Two-level systems and harmonic excitations in a mean-field anharmonic quantum glass
• Replica symmetry breaking in spin glasses in the replica-free Keldysh formalism
• Exact Replica Symmetric solution for transverse field Hopfield model under finite Trotter size