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Thermodynamic Analogy for Structural Phase Transitions

By P Cejnar, S Heinze and J Dobes

Abstract

We investigate the relationship between ground-state (zero-temperature) quantum phase transitions in systems with variable Hamiltonian parameters and classical (temperature-driven) phase transitions in standard thermodynamics. An analogy is found between (i) phase-transitional distributions of the ground-state related branch points of quantum Hamiltonians in the complex parameter plane and (ii) distributions of zeros of classical partition functions in complex temperatures. Our approach properly describes the first- and second-order quantum phase transitions in the interacting boson model and can be generalized to finite temperatures

Topics: Nuclear Physics
Year: 2005
DOI identifier: 10.1063/1.1996885
OAI identifier: oai:cds.cern.ch:815801
Provided by: CERN Document Server
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