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We present details of the phase diagrams of fermionic systems with random and frustrated interactions, emphasizing the important role of the chemical potential. The insulating fermionic Ising spin glass model is shown to reveal different…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Oppermann , B. Rosenow

Motivated by the recent inelastic neutron scattering (INS) measurements in the iron pnictides which show a strong anisotropy of spin excitations in directions perpendicular and parallel to the ordering wave-vector even above the magnetic…

Strongly Correlated Electrons · Physics 2015-10-19 Patricia Bilbao Ergueta , Andriy H. Nevidomskyy

Models of spin glasses are studied with a phase transition discontinuous in the Parisi order parameter. It is assumed that the leading order corrections to the thermodynamic limit of the high temperature free energy are due to the existence…

Condensed Matter · Physics 2009-10-22 Matteo Campellone

The Curie-Weiss model is used to study phase transitions in statistical mechanics and has been the object of rigorous analysis in mathematical physics. We analyse the problem of reconstructing the probability measure of a multi-group…

Probability · Mathematics 2025-05-29 Miguel Ballesteros , Ramsés H. Mena , Arno Siri-Jégousse , Gabor Toth

Unconventional symmetries of the order parameter allowed some researchers to maintain that a purely repulsive interaction between electrons provides superconductivity without phonons in a number of high-temperature superconductors. It is…

Superconductivity · Physics 2015-05-27 A. S. Alexandrov , V. V. Kabanov

We study with exact diagonalization techniques the Heisenberg model for a system of SU(2) spins with S=1/2 and random infinite-range exchange interactions. We calculate the critical temperature T_g for the spin-glass to paramagnetic…

Strongly Correlated Electrons · Physics 2009-11-07 L. Arrachea , M. J. Rozenberg

We weaken the assumption of summable variations in a paper by Verbitskiy \cite{verb} to a weaker condition, Berbee's condition, in order for a 1-block factor (a single site renormalisation) of the full shift space on finitely many symbols…

Dynamical Systems · Mathematics 2017-06-06 Anders Johansson , Anders Öberg , Mark Pollicott

Cooper pairing caused by an induced interaction represents a paradigm in our description of fermionic superfluidity. Here, we present a strong coupling theory for the critical temperature of $p$-wave pairing between spin polarised fermions…

Quantum Gases · Physics 2018-12-26 Jami J. Kinnunen , Zhigang Wu , Georg M. Bruun

Self - consistent temperature dependence of the average magnetization in quantum Heisenberg ferromagnet is obtained as a first approximation of perturbation theory on an inverse radius by application of the functional method for quantum…

Condensed Matter · Physics 2007-05-23 E. V. Podivilov

We developed a framework for directly calculating the spin susceptibility of anisotropic itinerant ferromagnets in the full temperature range within the coherent potential approximation in the disordered local moment picture. As a test of…

Strongly Correlated Electrons · Physics 2021-10-20 Daisuke Miura , Akimasa Sakuma

We discuss the constant-roll inflation with constant $\epsilon_2$ and constant $\bar\eta$. By using the method of Bessel function approximation, the analytical expressions for the scalar and tensor power spectra, the scalar and tensor…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Qing Gao

Experimental realizations of spin models are irremediably prone to errors, which can propagate through the system corrupting experimental signals. We study how such errors affect the measurement of local observables in systems with…

Quantum Physics · Physics 2026-02-25 Tim Möbus , Jorge Sánchez-Segovia , Álvaro M. Alhambra , Ángela Capel

An important consideration for variable selection in interaction models is to design an appropriate penalty that respects hierarchy of the importance of the variables. A common theme is to include an interaction term only after the…

Statistics Theory · Mathematics 2016-03-31 Junlong Zhao , Chenlei Leng

In this paper, we tackle a critical issue in nonparametric inference for systems of interacting particles on Riemannian manifolds: the identifiability of the interaction functions. Specifically, we define the function spaces on which the…

Numerical Analysis · Mathematics 2024-09-11 Sui Tang , Malik Tuerkoen , Hanming Zhou

Contrary to the suggestion of Kitatani and Sinada (2000 J. Phys. A: Math. Gen. {\bf 33} 3545-3553), the scaling analysis of the order parameter distributions suggests the existence of a finite-temperature spin-glass phase transition $T_c\ne…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Shirakura , F. Matsubara , M. Shiomi

Continuing our investigation into the Hierarchical Reference Theory of fluids for thermodynamic states of infinite isothermal compressibility kappa[T] we now turn to the available numerical evidence to elucidate the character of the partial…

Statistical Mechanics · Physics 2007-05-23 Albert Reiner , Gerhard Kahl

We investigate the critical temperature of a relativistic Bose-Einstein condensate of charged bosons driven by rotation in a parallel magnetic field [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018)]. For non-interacting bosons, the…

Nuclear Theory · Physics 2026-04-16 Puyuan Bai , Lianyi He

The purpose of the present work is to apply the method recently developed in reference [chain_m] to the spin-1 Ising chain, showing how to obtain analytical $\beta$-expansions of thermodynamical functions through this formalism. In this…

Condensed Matter · Physics 2009-11-07 Winder A. Moura-Melo , Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

We study the q-dependent susceptibility chi(q) of a Z-invariant ferromagnetic Ising model on a Penrose tiling, as first introduced by Korepin using de Bruijn's pentagrid for the rapidity lines. The pair-correlation function for this model…

Statistical Mechanics · Physics 2015-06-24 Helen Au-Yang , Jacques H. H. Perk

Typically two particles (spins) could be maximally entangled at zero temperature, and for a certain temperature the phenomenon of entanglement vanishes at the threshold temperature. For the Heisenberg coupled model or even the Ising model…

Strongly Correlated Electrons · Physics 2014-04-09 M. Rojas , S. M. de Souza , Onofre Rojas
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