Existence of Replica-Symmetry Breaking in Quantum Glasses
Hajo Leschke, Chokri Manai, Rainer Ruder, Simone Warzel
Abstract
By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick model with a "transverse" magnetic field if the temperature and the field are sufficiently low. The argument also applies to the generalization of the model with multispin interactions, sometimes dubbed as the transverse p-spin model.
Topics & Concepts
PhysicsGeneralizationQuantumArgument (complex analysis)Quantum mechanicsQuantum field theoryTheoretical physicsPhase (matter)Field (mathematics)Quantum phasesQuantum fluctuationQuantum phase transitionMagnetic fieldCondensed matter physicsQuantum electrodynamicsField theory (psychology)Quantum systemTransverse planeBosonizationQuantum processThermal quantum field theoryQuantum discordTheoretical and Computational PhysicsQuantum many-body systemsPhysics of Superconductivity and Magnetism