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Quantum Phase Transitions in 2d Quantum Liquids

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Correlations, Coherence, and Order

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.

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  1. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, Berlin, 14195, USA

    Adriaan M. J. Schakel

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  1. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Diana V. Shopova  & Dimo I. Uzunov  & 

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Schakel, A.M.J. (1999). Quantum Phase Transitions in 2d Quantum Liquids. In: Shopova, D.V., Uzunov, D.I. (eds) Correlations, Coherence, and Order. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4727-3_9

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