Spin-Phonon Chains with Bond Coupling

Abstract

We investigate the antiadiabatic limit of an antiferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons via a bond coupling. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the effective spin model longer range spin-spin interactions are generated. The effective spin chain is frustrated. The resulting temperature dependent couplings are used to determine the magnetic susceptibility and to determine the phase transition from a gapless state to a dimerized gapped phase. The susceptibilities and the phase diagram obtained via the effective couplings are compared with independently calculated quantum Monte Carlo results.

RevTeX 4, 8 pages, 8 eps figures; final version containing some minor changes and an additional figure

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Cited by in corpus (16)

• The Loop Algorithm
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• Sign-switching of dimer correlations in SrCu${}_2$(BO${}_3$)${}_2$ under hydrostatic pressure
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• Peierls transition in the quantum spin-Peierls model
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Phase diagram of the spin-Peierls chain with local coupling
• Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Spin Conductance in one-dimensional Spin-Phonon systems
• Thermodynamic properties of the two-dimensional S=1/2 Heisenberg antiferromagnet coupled to bond phonons
• Structural and magnetic instabilities of layered magnetic systems
• Flow equations for the one-dimensional Kondo lattice model: Static and dynamic ground state properties
• On the Geodesic Nature of Wegner's Flow
• Thermodynamics of a Spin-1/2 Chain Coupled to Einstein Phonons