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Replica symmetry breaking in the transverse-field Ising spin-glass model : two fermionic representations

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Replica symmetry breaking in the transverse-field Ising spin-glass model : two fermionic representations

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Título Replica symmetry breaking in the transverse-field Ising spin-glass model : two fermionic representations
Autor Santos, Eduardo Muccillo Monteiro
Theumann, Alba Graciela Rivas de
Abstract We analyze the infinite range Ising spin glass in a transverse-field below the critical temperature by a one step replica symmetry breaking theory. The set of n replicas is divided in r blocks of m replicas each. We present results for different values of the block-size parameter m. The spin operators are represented by bilinear combinations of fermionic fields and we compare the results of two models: In the four-states 4-S model the diagonal Si z operator has two unphysical vanishing eigenvalues, that are suppressed by a restraint in the two-states 2-S model. In the static approximation we obtain qualitatively similar results for both models. They both exhibit a critical temperature Tc that decreases when increases, until it reaches a quantum critical point at the same value of c and they are both unstable under replica symmetry breaking in the whole spin glass phase. Below the critical temperature we present results for the order parameters and free energy.
Contido em Physical review. B, Condensed matter and materials physics. Woodbury. Vol. 72, no. 1 (July 2005), 014447 5p.
Assunto Autovalores
Energia livre
Modelo de ising
Pontos criticos
Sistemas de férmions
Vidros de spin
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/104303
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