Lattice dynamical effects on the Peierls transition in one-dimensional metals and spin chains

Abstract

The interplay of charge, spin and lattice degrees of freedom is studied for quasi-one-dimensional electron and spin systems coupled to quantum phonons. Special emphasis is put on the influence of the lattice dynamics on the Peierls transition. Using exact diagonalization techniques the ground-state and spectral properties of the Holstein model of spinless fermions and of a frustrated Heisenberg model with magneto-elastic coupling are analyzed on finite chains. In the non-adiabatic regime a (T=0) quantum phase transition from a gapless Luttinger-liquid/spin-fluid state to a gapped dimerized phase occurs at a nonzero critical value of the electron/spin-phonon interaction. To study the nature of the spin-Peierls transition at finite temperatures for the infinite system, an alternative Green's function approach is applied to the magnetostrictive XY model. With increasing phonon frequency the structure factor shows a remarkable crossover from soft-mode to central-peak behaviour. The results are discussed in relation to recent experiments on $\mathrm{CuGe}{\mathrm{O}}_3$.

16 pages, 5 figures, Fruehjahrstagung des Arbeitskreises Festkoerperphysik der Deutschen Physikalischen Gesellschaft; to appear in Advances in Solid State Physics 2000

References in corpus (13)

• Phase diagram of the one-dimensional Holstein model of spinless fermions
• On the self-trapping problem of electrons or excitons in one dimension
• Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
• Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations
• Optical absorption and single-particle excitations in the 2D Holstein t-J model
• Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling
• Dynamics of the Peierls-active phonon modes in CuGeO_3
• Spin-Peierls transition in the Heisenberg chain with finite-frequency phonons
• The microscopic spin-phonon coupling constants in CuGeO_3
• Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions
• Dynamical effects of phonons on soliton binding in spin-Peierls systems
• Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain
• Lattice Dimerization in the Spin-Peierls Compound CuGeO${}_3$

Cited by in corpus (17)

• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Photoemission spectra of many-polaron systems
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Luttinger parameters and momentum distribution function for the half-filled spinless fermion Holstein model: A DMRG approach
• Dynamic charge correlations near the Peierls transition
• Spectral functions of the spinless Holstein model
• Polaronic approach to strongly correlated electron system with strong electron-phonon interaction
• Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model
• Magneto-elastic excitations in spin-Peierls systems
• Peierls-insulator Mott-insulator transition in 1D
• Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model
• Generalized diagonalization scheme for many-particle systems
• Phase transition and phase diagram at a general filling in the spinless one-dimensional Holstein Model
• SmoQyDEAC.jl: A differential evolution package for the analytic continuation of imaginary time correlation functions
• Optical response of many-polaron systems
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model