Quantum-to-classical correspondence in two-dimensional Heisenberg models

Abstract

The quantum-to-classical correspondence (QCC) in spin models is a puzzling phenomenon where the static susceptibility of a quantum system agrees with its classical-system counterpart, at a different corresponding temperature, within the systematic error at a sub-percent level. We employ the bold diagrammatic Monte Carlo method to explore the universality of QCC by considering three different two-dimensional spin-1/2 Heisenberg models. In particular, we reveal the existence of QCC in two-parametric models.

arXiv comment4 pages, 4figures

References in corpus (15)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Experimental realization of a 2D fractional quantum spin liquid
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
• The kagome antiferromagnet: a chiral topological spin liquid ?
• ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
• Magnetism of the N=42 kagome lattice antiferromagnet
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Shifted-Action Expansion and Applicability of Dressed Diagrammatic Schemes
• Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice
• Tuning the $S=1/2$ square-lattice antiferromagnet Sr${}_2$Cu(Te${}_{1-x}$W${}_x$)O${}_6$ from Néel order to quantum disorder to columnar order
• Finite correlation length scaling with infinite projected entangled pair states at finite temperature
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Structure Factors of the Kagome-Lattice Heisenberg antiferromagnets at finite temperatures

Cited by in corpus (8)

• Pinch-points to half-moons and up in the stars: the kagome skymap
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
• Taming spin susceptibilities in frustrated quantum magnets: Mean-field form and approximate nature of the quantum-to-classical correspondence
• Physical and unphysical regimes of self-consistent many-body perturbation theory
• Majorana Diagrammatics for Quantum Spin-1/2 Models