Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain

Details Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain

2001-07-06

arxiv.org/abs/cond-mat/0107131v1

Physics

Condensed Matter

revtex, 9 pages, 9 figures

Scientific paper

10.1103/PhysRevE.65.026220

We study numerically and analytically the classical one-dimensional Frenkel-Kontorova chain in the regime of pinned phase characterized by phonon gap. Our results show the existence of exponentially many static equilibrium configurations which are exponentially close to the energy of the ground state. The energies of these configurations form a fractal quasi-degenerate band structure which is described on the basis of elementary excitations. Contrary to the ground state, the configurations inside these bands are disordered.

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