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We construct the first complete exact numerical solution of a mean field quantum spin glass model, the transverse field Sherrington-Kirkpatrick model, by implementing a continuous-time quantum Monte Carlo method in the presence of full…

无序系统与神经网络 · 物理学 2025-04-08 Annamária Kiss , Gergely Zaránd , Izabella Lovas

We first review, following our earlier studies, the critical behavior of the quantum Sherrington-Kirkpatrick (SK) model at finite as well as at zero temperatures. Through the analysis of the Binder cumulant we determined the entire phase…

统计力学 · 物理学 2019-03-08 Sudip Mukherjee , Bikas K Chakrabarti

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

统计力学 · 物理学 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

We study the critical behavior of two-dimensional short-range quantum spin glasses by numerical simulations. Using a parallel tempering algorithm, we calculate the Binder cumulant for the Ising spin glass in a transverse magnetic field with…

统计力学 · 物理学 2016-07-26 D. A. Matoz-Fernandez , F. Roma

We develop a mean-field theory for random quantum spin systems using the spin coherent state path integral representation. After the model is reduced to the mean field one-body Hamiltonian, the integral is analyzed with the aid of several…

无序系统与神经网络 · 物理学 2007-11-20 Kazutaka Takahashi

We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

凝聚态物理 · 物理学 2008-02-03 Subir Sachdev

This paper studies spin glass to paramagnetic transition in the Spherical Sherrington-Kirkpatrick model with ferromagnetic Curie-Weiss interaction with coupling constant $J$ and inverse temperature $\beta$. The disorder of the system is…

概率论 · 数学 2024-08-26 Iain M. Johnstone , Yegor Klochkov , Alexei Onatski , Damian Pavlyshyn

We investigate the zero-temperature superfluid to insulator transitions in a diluted two-dimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical $(2+1)$-dimensional XY model with columnar…

量子气体 · 物理学 2016-10-04 Thomas Vojta , Jack Crewse , Martin Puschmann , Daniel Arovas , Yury Kiselev

In this paper we obtain two results for the Sherrington-Kirkpatrick (SK) model, and we show that they both emerge from a single approach. First, we prove that the average of the overlap takes positive values when it is non zero. More…

统计力学 · 物理学 2009-11-11 Alessandra Agostini , Adriano Barra , Luca De Sanctis

We calculate the real-time-correlation function of the Sherrington-Kirkpatrick spin-glass model in a transverse field. Using a careful analysis of the perturbative expansion of the functional-integral representation, we derive the…

无序系统与神经网络 · 物理学 2008-11-19 Kazutaka Takahashi , Koujin Takeda

We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of freedom. The problem is formulated in terms of an effective four-spin Hamiltonian in the pressure ensemble, which can be treated by the replica…

无序系统与神经网络 · 物理学 2009-04-30 D. B. Liarte , S. R. Salinas , C. S. O. Yokoi

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

统计力学 · 物理学 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa

We study the quantum transition at $T=0$ in the spin-$\frac12$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1)…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger , A. Peter Young

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

超导电性 · 物理学 2007-09-19 N. Shah , A. V. Lopatin

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

强关联电子 · 物理学 2009-10-31 M. Lavagna , C. Pépin

We discuss the thermal entanglement close to a quantum phase transition by analyzing the concurrence for one dimensional models in the quantum Ising universality class. We demonstrate that the entanglement sensitivity to thermal and to…

统计力学 · 物理学 2015-06-25 Luigi Amico , Dario Patane`

We introduce a novel quantum spin-glass model, a Sherrington-Kirkpatrick model with a transverse mean-field type random magnet. We rigorously derive the exact expression of the free energy of this model at the entire parameter region. The…

统计力学 · 物理学 2024-10-07 Naoto Shiraishi

We consider the effects of quantum fluctuations in mean-field quantum spin-glass models with pairwise interactions. We examine the nature of the quantum glass transition at zero temperature in a transverse field. In models (such as the…

凝聚态物理 · 物理学 2009-10-28 Felix Ritort

We study the phase diagram and quantum critical region of one of the fundamental models for electronic correlations: the periodic Anderson model. Employing the recently developed dynamical vertex approximation, we find a phase transition…

强关联电子 · 物理学 2019-06-07 T. Schäfer , A. A. Katanin , M. Kitatani , A. Toschi , K. Held

We discuss a phase transition in spin glass models which have been rarely considered in the past, namely the phase transition that may take place when two real replicas are forced to be at a larger distance (i.e. at a smaller overlap) than…

无序系统与神经网络 · 物理学 2020-02-27 Maddalena Dilucca , Luca Leuzzi , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo
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