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We revisit the proof of the limiting free energy of the continuous random energy model (CREM) using the Hamilton--Jacobi approach for mean-field disordered systems. To achieve this, we introduce an enriched model that interpolates between…

Probability · Mathematics 2025-08-26 Alexander Alban , Fu-Hsuan Ho , Justin Ko

Effect of Gaussian random magnetic field distribution which is centered at zero on the phase transition properties of isotropic quantum Heisenberg model has been investigated on two (2D) and three dimensional (3D) lattices within the…

Statistical Mechanics · Physics 2016-08-17 Ümit Akıncı

We consider one-dimensional long-range spin models (usually called Dyson models), consisting of Ising ferromagnets with slowly decaying long-range pair potentials of the form $\frac{1}{|i-j|^{\alpha}}$ mainly focusing on the range of slow…

Mathematical Physics · Physics 2017-02-10 R. Bissacot , E. O. Endo , A. C. D. van Enter , B. Kimura , A. Le Ny , W. M. Ruszel

We calculate the magnetic-field and temperature dependence of all quantum corrections to the ensemble-averaged conductance of a network of quantum dots. We consider the limit that the dimensionless conductance of the network is large, so…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Joern N. Kupferschmidt , Piet W. Brouwer

We present a large deviations theory of the spin-spin correlation functions in the Random Field Ising Model on the Bethe lattice, both at finite and zero temperature. Rare events of atypically correlated variables are particularly important…

Disordered Systems and Neural Networks · Physics 2014-07-02 Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi

We study the possibility that primordial magnetic fields generated in the transition between inflation and reheating posses magnetic helicity, $H_M$. The fields are induced by stochastic currents of scalar charged particles created during…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-07 Esteban Calzetta , Alejandra Kandus

We analyze, by rigorous Renormalization Group (RG) methods, a Fermi model for Weak forces with a single family of leptons, one massless and the other with mass $m=M e^{-\beta}$, with $M$ the gauge boson mass, a quartic non-local interaction…

High Energy Physics - Theory · Physics 2024-06-24 Vieri Mastropietro

We consider a particle moving in one dimension, its velocity being a reversible diffusion process, with constant diffusion coefficient, of which the invariant measure behaves like $(1+|v|)^{-\beta}$ for some $\beta>0$. We prove that, under…

Probability · Mathematics 2018-05-25 Nicolas Fournier , Camille Tardif

We investigate Seebeck effect in REFeAsO (RE=rare earth)compounds as a function of temperature and magnetic field up to 30T. The Seebeck curves are characterized by a broad negative bump around 50K, which is sample dependent and strongly…

We study the role of charge density-wave fluctuations on the temperature dependence of Seebeck coefficient in quasi-one dimensional conductors with a Peierls instability. The description of low-dimensional incommensurate charge density-wave…

Strongly Correlated Electrons · Physics 2020-03-25 M. Mbodji , C. Bourbonnais

We study negative large deviations of the long-time empirical front velocity of the center of mass of the one-sided $N$-BBM ($N$-particle branching Brownian motion) system in one dimension. Employing the macroscopic fluctuation theory, we…

Statistical Mechanics · Physics 2024-12-11 Baruch Meerson , Pavel V. Sasorov

The thermal averaged real-time propagator of a Dirac fermion in a static uniform magnetic field $B$ is derived. At non-zero chemical potential and temperature we find explicitly the effective action for the magnetic field, which is shown to…

High Energy Physics - Phenomenology · Physics 2011-05-23 P. Elmfors , D. Persson , B. -S. Skagerstam

We study the symmetry breaking phenomenon in the standard model during the electroweak phase transition in the presence of a constant hypermagnetic field. We compute the finite temperature effective potential up to the contribution of ring…

High Energy Physics - Theory · Physics 2008-11-26 Angel Sanchez , Alejandro Ayala , Gabriella Piccinelli

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a…

Statistical Mechanics · Physics 2009-11-07 Ilija Dukovski , Jon Machta

Inspired by the renewed experimental activities on $p$-wave resonantly interacting atomic Fermi gases, we theoretically investigate some experimental observables of such systems at zero temperature in two dimensions, using both mean-field…

Quantum Gases · Physics 2019-08-21 Hui Hu , Xia-Ji Liu

In this paper we present a complete and exact spectral analysis of the $(1+1)$-dimensional model that Jackiw and Rebbi considered to show that the half-integral fermion numbers are possible due to the presence of an isolated self charge…

High Energy Physics - Theory · Physics 2014-02-12 Farid Charmchi , Siamak S. Gousheh

Exploiting the similarity between the bunched single-particle energy levels of nuclei and of random distributions around the Fermi surface, pairing properties of the latter are calculated to establish statistically-based bounds on the basic…

Nuclear Theory · Physics 2018-07-04 A. A. Mamun , C. Constantinou , M. Prakash

Temperature variations of the heat capacity (C) are studied in a low temperature regime for 2D-, and 3D-systems with N~100-10000 treated as a canonical ensemble of N-noninteracting fermions. The analysis of C is performed by introducing…

Mesoscale and Nanoscale Physics · Physics 2008-12-01 N. K. Kuzmenko , V. M. Mikhajlov

The Random Field Ising Model (RFIM) is the simplest physical model reflecting effect of quenched disorder on the different types of phase transitions in solids. The presence of multiple energy minima in the RFIM is an important feature…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. A. Likhachev

We study the ferromagnetic phase transition in a randomly layered Heisenberg magnet using large-scale Monte-Carlo simulations. Our results provide numerical evidence for the infinite-randomness scenario recently predicted within a…

Statistical Mechanics · Physics 2015-03-19 Fawaz Hrahsheh , Hatem Barghathi , Thomas Vojta