Thermodynamical Properties of a Spin 1/2 Heisenberg Chain Coupled to Phonons

Abstract

We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1/2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to treat easily up to 100 phonons per site and the results presented are practically free from truncation errors. We studied in detail the magnetic susceptibility, the specific heat, the phonon occupation, the dimerization, and the spin-correlation function for various spin-phonon couplings and phonon frequencies. In particular we give evidence for the transition from a gapless to a massive phase by studying the finite-size behavior of the susceptibility. We also show that the dimerization is proportional to $g^2/\Omega$ for $T<2J$.

10 pages, 17 Postscript Figures

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Cited by in corpus (19)

• Thermodynamics of Spin S = 1/2 Antiferromagnetic Uniform and Alternating-Exchange Heisenberg Chains
• The Loop Algorithm
• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Spin-Phonon Chains with Bond Coupling
• Magnetoelastic coupling and spin excitations in the spin-gap system (VO)${}_2$P${}_2$O${}_7$: A Raman scattering study
• Thermodynamic Properties of the Dimerised and Frustrated S=1/2 Chain
• Phase diagram of the spin-Peierls chain with local coupling
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Thermodynamic and spectral properties of adiabatic Peierls chains
• Thermal and quantum lattice fluctuations in Peierls chains
• Quantum Narrowing Effect in a Spin-Peierls System with Quantum Lattice Fluctuation
• Spin-Peierls transition of the first order in S=1 antiferromagnetic Heisenberg chains
• Renormalization of the Spin-Peierls Transition due to Phonon Dynamics
• Electron spins interaction in the spin-Peierls phase of the organic spin chain (o -DMTTF) 2 X (X = Cl, Br, I)
• Spin Conductance in one-dimensional Spin-Phonon systems
• Thermodynamic properties of the two-dimensional S=1/2 Heisenberg antiferromagnet coupled to bond phonons
• Ordered phases in spin-Peierls systems
• Structural and magnetic instabilities of layered magnetic systems
• Thermodynamics of a Spin-1/2 Chain Coupled to Einstein Phonons