Path integral Monte Carlo study of the interacting quantum double-well model: Quantum phase transition and phase diagram
Abstract
The discrete time path integral Monte Carlo (PIMC) with a one-particle density matrix approximation is applied to study the quantum phase transition in the coupled double-well chain. To improve the convergence properties, the exact action for a single particle in a double well potential is used to construct the many-particle action. The algorithm is applied to the interacting quantum double-well chain for which the zero-temperature phase diagram is determined. The quantum phase transition is studied via finite-size scaling and the critical exponents are shown to be compatible with the classical two-dimensional (2D) Ising universality class -- not only in the order-disorder limit (deep potential wells) but also in the displacive regime (shallow potential wells).
Keywords
Cite
@article{arxiv.cond-mat/0608400,
title = {Path integral Monte Carlo study of the interacting quantum double-well model: Quantum phase transition and phase diagram},
author = {Dong-Hee Kim and Yu-Cheng Lin and Heiko Rieger},
journal= {arXiv preprint arXiv:cond-mat/0608400},
year = {2015}
}
Comments
17 pages, 7 figures; Accepted for publication in Phys. Rev. E