Electronic Properties of the 1D Frenkel-Kontorova Model
نویسندگان
چکیده
منابع مشابه
Electronic properties of the 1D Frenkel-Kontorova model.
The energy spectra and quantum diffusion of an electron in a 1D incommensurate Frenkel-Kontorova model are studied numerically. We found that the spectral and dynamical properties of an electron display quite different behaviors in the invariance circle regime and in the Cantorus regime. In the former case, it is similar to that of the Harper model, whereas in the latter case, it is similar to ...
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This paper gives a review of our recent work on the quantum Frenkel-Kontorova model. Using the squeezed state theory and the quantum Monte Carlo method, we have studied the effects of quantum fluctuations on the Aubry transition and the behavior of the ground state wave function. We found that quantum fluctuations renormalize the sinusoidal standard map to a sawtooth map. Although quantum fluct...
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A two-dimensional Frenkel-Kontorova model under a steady external force is used to study the nonlinear sliding friction between flat macroscopic surfaces with a lubricant layer in between. The nonequilibrium properties of the model are simulated by a Brownian molecular dynamics and results are obtained as a function of temperature and a microscopic friction parameter η.
متن کاملExperimental Study of Spectral Properties of a Frenkel-Kontorova System.
We report on microwave emission from linear parallel arrays of underdamped Josephson junctions, which are described by the Frenkel-Kontorova (FK) model. Electromagnetic radiation is detected from the arrays when biased on current singularities (steps) appearing at voltages V(n)=Φ(0)(nc̅/L), where Φ(0)=2.07×10(-15) Wb is the magnetic flux quantum, and c̅, L, and n are, respectively, the speed of ...
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In this paper, we study the standard one-dimensional (non-overdamped) Frenkel-Kontorova (FK) model describing the motion of atoms in a lattice. For this model we show that for any supersonic velocity c > 1, there exist bounded traveling waves moving with velocity c. The profile of these traveling waves is a phase transition between limit states k− in −∞ and k+ in +∞. Those limit states are some...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2002
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.88.046804