Phase Transitions in Models for Coupled Charge-Density Waves

Details Phase Transitions in Models for Coupled Charge-Density Waves Phase Transitions in Models for Coupled Charge-Density Waves

2004-02-02

arxiv.org/abs/cond-mat/0402024v1

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.69.115117

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with appropriate commensurability effects is mapped onto the three- or four-dimensional \XY model, depending on spatiotemporal fluctuations, under the corresponding symmetry-breaking fields. It is revealed that the three- and four-dimensional systems display a single transition between the clock order (with broken Z$_M$ symmetry) and disorder. The nature of the phase transition depends crucially on the commensurability factor $M$: For $M \ge 4$, in particular, the transition belongs to the same university class as the \XY model. On the other hand, in the presence of misfit causing frustration in the charge-density wave, the inter-chain coupling is observed to favor either the commensurate state or the incommensurate state depending on the initial configuration; this gives rise to hysteresis around the commensurate-incommensurate transition. Boundaries separating such phases with different symmetries are obtained in the parameter space consisting of the temperature, symmetry-breaking field, fluctuation strength, inter-chain coupling, and misfit.

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