Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain
arXiv:cond-mat/0107131 · doi:10.1103/PhysRevE.65.026220
Abstract
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.
revtex, 9 pages, 9 figures
Cited by in corpus (8)
- Quantum Simulations with Cold Trapped Ions
- Delocalization induced by nonlinearity in systems with disorder
- Frenkel-Kontorova model with cold trapped ions
- Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas
- Wigner crystal in snaked nanochannels
- Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
- A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model
- Wigner crystal in snaked nanochannels: outlook