Quantum Phase Transitions in 2d Quantum Liquids

Adriaan M. J. Schakel
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Adriaan M. J. Schakel: Freie Universität Berlin, Institut für Theoretische Physik

A chapter in Correlations, Coherence, and Order, 1999, pp 295-356 from Springer

Abstract: Abstract Continuous quantum phase transitions have attracted much attention in this decade both from experimentalists as well as from theorists. (For reviews see Refs1-4) These transitions, taking place at the absolute zero of temperature, are dominated by quantum and not by thermal fluctuations as is the case in classical finite-temperature phase transitions. Whereas time plays no role in a classical phase transition, being an equilibrium phenomenon, it becomes important in quantum phase transitions. The dynamics is characterized by an additional critical exponent, the so-called dynamic exponent, which measures the asymmetry between the time and space dimensions. The natural language to describe these transitions is quantum field theory. In particular, the functional-integral approach, which can also be employed to describe classical phase transitions, turns out to be highly convenient.

Keywords: Partition Function; Quantum Phase Transition; Effective Theory; Particle Number Density; Dynamic Exponent (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4615-4727-3_9

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