Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-08-09
Physics
Condensed Matter
Statistical Mechanics
12 pages, 2 figures
Scientific paper
10.1103/PhysRevE.63.016203
We present a simple and complete variational approach to the one-dimensional quantum Frenkel-Kontorova model. Dirac's time-dependent variational principle is adopted together with a Hatree-type many-body trial wavefunction for the atoms. The single-particle state is assumed to have the Jackiw-Kerman form. We obtain an effective classical Hamiltonian for the system which is simple enough for a complete numerical solution for the static ground state of the model. Numerical results show that our simple approach captures the essence of the quantum effects first observed in quantum Monte Carlo studies.
Chou Chung-I
Ho Choon-Lin
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