Monte Carlo Study of Correlations in Quantum Spin Chains at Non-Zero Temperature

Abstract

Antiferromagnetic Heisenberg spin chains with various spin values ($S=1/2,1,3/2,2,5/2$) are studied numerically with the quantum Monte Carlo method. Effective spin $S$ chains are realized by ferromagnetically coupling $n=2S$ antiferromagnetic spin chains with $S=1/2$. The temperature dependence of the uniform susceptibility, the staggered susceptibility, and the static structure factor peak intensity are computed down to very low temperatures, $T/J\approx 0.01$. The correlation length at each temperature is deduced from numerical measurements of the instantaneous spin-spin correlation function. At high temperatures, very good agreement with exact results for the classical spin chain is obtained independent of the value of $S$. For $S$=2 chains which have a gap $\Delta$, the correlation length and the uniform susceptibility in the temperature range $\Delta <T<J$ are well predicted by a semi-classical theory due to Damle and Sachdev.

LaTeX EPJ macro

Cited by in corpus (35)

• Thermodynamics of Spin S = 1/2 Antiferromagnetic Uniform and Alternating-Exchange Heisenberg Chains
• Defects in correlated metals and superconductors
• Cluster algorithms for general-S quantum spin systems
• Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
• Monte Carlo Study of the S=1/2 and S=1 Heisenberg Antiferromagnet on a Spatially Anisotropic Square Lattice
• Y NMR imaging of the staggered magnetization in doped Haldane chain Y(2)BaNi(1-x)Mg(x)O(5)
• D-Theory: Field Quantization by Dimensional Reduction of Discrete Variables
• Magnetic properties of the S=1/2 quasi-one-dimensional antiferromagnet CaCu2O3
• Comparison of S=0 and S=1/2 Impurities in Haldane Chain Compound, $Y_{2}BaNi{O}_5$
• Quantum spin chains in a magnetic field
• The properties of Haldane excitations and multi-particle states in the antiferromagnetic spin-1 chain compound CsNiCl
• Solving the puzzle of an unconventional phase transition for a 2d dimerized quantum Heisenberg model
• Heisenberg Spin-One Chain in Staggered Magnetic Field : A Density Matrix Renormalization Group Study
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Intermediate temperature dynamics of one-dimensional Heisenberg antiferromagnets
• Magneto-thermal properties of the spin-s Heisenberg antiferromagnet on the cuboctahedron
• Magnetic Phase Transition in the Low Dimensional Compound BaMn2Si2O7
• Quantum Monte Carlo Study of Weakly Coupled Spin Ladders
• Near room temperature antiferromagnetic ordering with a potential low dimensional magnetism in AlMn${}_2$B${}_2$
• Magnetic inhomogeneity on a triangular lattice: the magnetic-exchange versus the elastic energy and the role of disorder
• Parallel loop cluster quantum Monte Carlo simulation of quantum magnets based on global union-find graph algorithm
• Evolution of spin excitations in a gapped antiferromagnet from the quantum to the high-temperature limit
• Magnetization profiles and NMR spectra of doped Haldane chains at finite temperatures
• A semi-classical approach to electron spin resonance in quantum spin systems
• Spin Chains in an External Magnetic Field. Closure of the Haldane Gap and Effective Field Theories
• Semiclassical approach to the thermodynamics of spin chains
• Antiferromagnetic order in weakly coupled random spin chains
• Magnetic Properties of the low dimensional BaM${}_2$Si${}_2$O${}_7$(M= Cu, Co, Mn) system
• Magnetic properties of a spin-1/2 quadrumer chain
• Influence of magnetic interaction between impurity and impurity-liberated spins on the magnetism in the doped Haldane chain compounds PbNi${}_{2-x${A}${}_x$V${}_2$O${}_8$ (A = Mg, Co)
• Magnetic versus nonmagnetic doping effects on the magnetic ordering in the Haldane chain compound PbNi2V2O8
• The magnetic susceptibility of exchange-disordered antiferromagnetic finite chains
• Quantum magnetism on small-world networks
• Disordered ground state in the three-dimensional face-centred frustrated spin-$\frac{5}{2}$ system MnSn(OH)${}_{\text{6}}$
• Graphene-based quantum heterospin graphs