Mean Field theory of the spin-Peierls transition
arXiv:cond-mat/0407561 · doi:10.1103/PhysRevB.70.214436
Abstract
We revisit the problem of the spin-Peierls instability in a one dimensional spin-1/2 chain coupled to phonons. The phonons are treated within the mean field approximation. We use bosonization techniques to describe the gapped spin chain and then use the Thermodynamic Bethe Ansatz to obtain quantitative results for the thermodynamics of the spin-Peierls system in a whole range of temperature. This allows us to predict the behavior of the specific heat and the magnetic susceptibility in the entire dimerized phase. We study the effect of small magnetic fields on the transition. Moreover, we obtain the parameters of the Landau-Ginzburg theory describing this continuous phase transition near the critical point.
arXiv comment16 pages, 4 EPS figures v2: corrected discussion of logarithmic corrections, some typos corrected, references updated
References in corpus (24)
- Coupled Ladders in a Magnetic Field
- Dynamics of coupled quantum spin chains
- Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
- DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
- Magnetic excitation spectrum of dimerized antiferromagnetic chains
- Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
- Non linear integral equation and excited--states scaling functions in the sine-Gordon model
- Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
- Correlation amplitude for the XXZ spin chain in the disordered regime
- Dynamics of the Peierls-active phonon modes in CuGeO_3
- Calculation of Neel temperature for S=1/2 quasi-one-dimensional Heisenberg antiferromagnets
- Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
- Fermi liquids and non--Fermi liquids
- Weakly Coupled Antiferromagnetic Quantum Spin Chains
- Quantum-critical scaling and temperature-dependent logarithmic corrections in the spin-half Heisenberg chain
- Thermodynamic Properties of the Spin-1/2 Antiferromagnetic ladder Cu2(C2H12N2)2Cl4 under Magnetic Field
- Finite-temperature perturbation theory for quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets
- Polarization dependence of spin excitations in BaCu2Si2O7
- Finite-size scaling for the S=1/2 Heisenberg Antiferromagnetic Chain
- Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
- Theory of Lattice and Electronic Fluctuations in Weakly Localized Spin-Peierls Systems
- Temperature-dependent logarithmic corrections in the spin-1/2 Heisenberg chain
- Lattice Instability in the Spin-Ladder System under Magnetic Field
- Lectures on Non Perturbative Field Theory and Quantum Impurity Problems
Cited by in corpus (14)
- Adiabatic-antiadiabatic crossover in a spin-Peierls chain
- X-ray Scattering Study of the spin-Peierls transition and soft phonon behavior in TiOCl
- Quantum Criticality in Dimerized Spin Ladders
- Spin-Peierls instability of the U(1) Dirac spin liquid
- Spin-Peierls instability in the three-leg Heisenberg ladder
- Finite-Temperature Charge-Ordering Transition and Fluctuation Effects in Quasi-One-Dimensional Electron Systems at Quarter Filling
- The spin-Peierls transition beyond the adiabatic approximation
- Thermal and quantum lattice fluctuations in Peierls chains
- Electron spins interaction in the spin-Peierls phase of the organic spin chain (o -DMTTF) 2 X (X = Cl, Br, I)
- Fate of a soliton matter upon symmetry-breaking ferroelectric order
- Magnetic excitations in an ionic spin-chain system with a non-magnetic ferroelectric instability
- Interacting in-plane molecular dipoles in a zig-zag chain
- Stability of algebraic spin liquids coupled to quantum phonons
- Relevance of nonadiabatic effects in TiOCl