Commensurate-Incommensurate Phase Transitions for Multichain Quantum Spin Models: Exact Results

Details Commensurate-Incommensurate Phase Transitions for Multichain Quantum Spin Models: Exact Results Commensurate-Incommensurate Phase Transitions for Multichain Quantum Spin Models: Exact Results

2000-02-23

arxiv.org/abs/cond-mat/0002356v1

Fiz. Nizk. Temp. 26 (2000) 181-196

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, LaTeX, typos corrected

Scientific paper

10.1063/1.593878

The behavior in an external magnetic field is studied for a wide class of multichain quantum spin models. It is shown that the magnetic field together with the interchain couplings cause commensurate-incommensurate phase transitions between the gapless phases in the ground state. The conformal limit of these models is studied and it is shown that the low-lying excitations for the incommensurate phases are not independent. A scenario for the transition from one to two space dimensions for the integrable multichain models is proposed. The similarities in the external field behavior for the quantum multichain spin models and a wide class of quantum field theories are discussed. The exponents for the gaps caused by relevant perturbations of the models are calculated.

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