Computing quantum phase transitions

Details Computing quantum phase transitions Computing quantum phase transitions

2007-09-06

arxiv.org/abs/0709.0964v1

Reviews in Computational Chemistry 26, 167-221 (2008)

Physics

Condensed Matter

Statistical Mechanics

99 pages, 15 figures, submitted to Reviews in Computational Chemistry

Scientific paper

This article first gives a concise introduction to quantum phase transitions, emphasizing similarities with and differences to classical thermal transitions. After pointing out the computational challenges posed by quantum phase transitions, a number of successful computational approaches is discussed. The focus is on classical and quantum Monte Carlo methods, with the former being based on the quantum-to classical mapping while the latter directly attack the quantum problem. These methods are illustrated by several examples of quantum phase transitions in clean and disordered systems.

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