Replica symmetry breaking in the transverse-field Ising spin-glass model: Two fermionic representations
نویسندگان
چکیده
منابع مشابه
One-step replica symmetry breaking solution for fermionic Ising spin glass in a transverse field
The fermionic Ising spin glass models in a transverse field are investigated in a Grassmann path integral formalism. The Parisi’s scheme of one-step replica symmetry breaking (RSB) is used within the static ansatz. This formalism has already been applied in a theory in which m (Parisi’s block-size parameter) is taken as a constant [13]. Now, it is extended to consider m as a variational paramet...
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The Ising spin glass in a transverse field. Results of two fermionic models. Abstract We analyze the long range Ising spin glass in a transverse field Γ by using Grassmann variables in a field theory where the spin operators are represented by bilinear combinations of fermionic fields. We compare the results of two fermionic models. In the four state (4S)-model the diagonal S z i operator has t...
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The stability of spin-glass (SG) phase is analyzed in detail for a fermionic Ising SG (FISG) model in the presence of a magnetic transverse field Γ. The fermionic path integral formalism, replica method and static approach have been used to obtain the thermodynamic potential within one step replica symmetry breaking ansatz. The replica symmetry (RS) results show that the SG phase is always unst...
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We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under Renormalisation Group transformations. The phase diagram (critical temperature Tc vs transverse field Γ) we obtain shows a finite slope near T = 0, in contrast with the infinite slope for the pure case. Our results compare very well with the e...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2005
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.72.014447