期刊
PHYSICAL REVIEW B
卷 89, 期 21, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.89.214408
关键词
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资金
- Israel Science Foundation (ISF)
- US-Israel Binational Science Foundation (BSF)
- European Union [276923-MC-MOTIPROX]
- EU project SIQS
- German Research Foundation (DFG) [SFB/TRR21]
- Heisenberg grant
- Minerva Center for Complex Systems at the Technion
- Shlomo Kaplansky Academic Chair
We study the crossover from classical to quantum phase transitions at zero temperature within the framework of phi(4) theory. The classical transition at zero temperature can be described by the Landau theory, turning into a quantum Ising transition with the addition of quantum fluctuations. We perform a calculation of the transition line in the regime where the quantum fluctuations are weak. The calculation is based on a renormalization group analysis of the crossover between classical and quantum transitions, and is well controlled even for space-time dimensionality D below 4. In particular, for D = 2 we obtain an analytic expression for the transition line which is valid for a wide range of parameters, as confirmed by numerical calculations based on the density matrix renormalization group. This behavior could be tested by measuring the phase diagram of the linear-zigzag instability in systems of trapped ions or repulsively interacting dipoles.
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