2009
DOI: 10.1103/physrevb.80.085108
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Phase boundary and finite temperature crossovers of the quantum Ising model in two dimensions

Abstract: We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two distinct non-Gaussian fixed points: the classical fixed point dominated by thermal fluctuations and the quantum critical fixed point dominated by zero-point quantum fluctuations. Truncating an exact flow equation for the effective action we derive a set of renormalization group… Show more

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Cited by 10 publications
(8 citation statements)
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“…Another example one may invoke here is the universal exponent ψ governing the shape of the finite-temperature transition line in quantum critical systems. [43][44][45] Despite being located in the portion of the phase diagram which is dominated by non-Gaussian thermal fluctuations, ψ is fully determined by the system dimensionality d and the dynamical exponent z. The precise values of η or ν are therefore not relevant to it.…”
Section: Critical Behaviormentioning
confidence: 99%
“…Another example one may invoke here is the universal exponent ψ governing the shape of the finite-temperature transition line in quantum critical systems. [43][44][45] Despite being located in the portion of the phase diagram which is dominated by non-Gaussian thermal fluctuations, ψ is fully determined by the system dimensionality d and the dynamical exponent z. The precise values of η or ν are therefore not relevant to it.…”
Section: Critical Behaviormentioning
confidence: 99%
“…This framework is exceptionally convenient for resolution of crossover phenomena due to multiple fixed points governing the RG flow at distinct scales (see, e.g., Refs. [71][72][73][74][75][76]). Equation (28 In the shorthand notation used in Eq.…”
Section: Renormalization Group Flowmentioning
confidence: 99%
“…On the other hand, the functional RG framework serves as a particularly convenient tool in situations involving rich crossover phenomena. 13,[32][33][34][35][36] and (at the cost of working at truly functional level) is capable of computing also nonuniversal aspects of specific microscopic models. 37,38 With the parametrization specified by Eqs.…”
Section: Nonperturbative Rg Approachmentioning
confidence: 99%