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The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the…

Condensed Matter · Physics 2009-10-22 T. R. Kirkpatrick , D. Belitz

We present a new method for the numerical treatment of second order phase transitions using the level spacing distribution function $P(s)$. We show that the quantities introduced originally for the shape analysis of eigenvectors can be…

Condensed Matter · Physics 2009-10-22 Imre Varga , Etienne Hofstetter , Michael Schreiber , János Pipek

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

Disordered Systems and Neural Networks · Physics 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a…

Statistical Mechanics · Physics 2008-10-08 Stephen Powell , J. T. Chalker

Symmetry breaking surface fields give rise to nontrivial and long-ranged order parameter profiles for critical systems such as fluids, alloys or magnets confined to wedges. We discuss the properties of the corresponding universal scaling…

Statistical Mechanics · Physics 2009-10-31 A. Hanke , M. Krech , F. Schlesener , S. Dietrich

We derive rigorously the leading asymptotics of the so-called Anderson integral in the thermodynamic limit for one-dimensional, non-relativistic, spin-less Fermi systems. The coefficient, $\gamma$, of the leading term is computed in terms…

Mathematical Physics · Physics 2013-10-30 Heinrich Küttler , Peter Otte , Wolfgang Spitzer

Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 Helene Spring , Viktor Könye , Fabian A. Gerritsma , Ion Cosma Fulga , Anton R. Akhmerov

We discuss the problem of an effective descriptions of the phase transition phenomena in the pure gluodynamics in SU(2) symmetric QCD. We choose the method of calculation following the conjecture that the infrared sector of the theory…

High Energy Physics - Phenomenology · Physics 2009-02-20 Juraj Boháčik , Peter Prešnajder

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , T. Wegner , M. Potthoff , W. Nolting

The coupled angular momenta are a family of completely integrable systems that depend on three parameters and have a compact phase space. They correspond to the classical version of the coupling of two quantum angular momenta and they…

Dynamical Systems · Mathematics 2020-09-07 Jaume Alonso , Holger R. Dullin , Sonja Hohloch

We study the Anderson model in which a configuration with a doublet is hybridized with another with a singlet and a triplet. We calculate the conductance through the system as a function of temperature and bias voltage, near the quantum…

Strongly Correlated Electrons · Physics 2009-07-25 P. Roura Bas , A. A. Aligia

We develop a scheme for analytic continuation of the strong-coupling perturbation series of the pure Bose-Hubbard model beyond the Mott insulator-to-superfluid transition at zero temperature, based on hypergeometric functions and their…

Statistical Mechanics · Physics 2015-08-05 Sören Sanders , Christoph Heinisch , Martin Holthaus

We compute the effective action in terms of the Polyakov loop for the 3-dimensional pure fundamental-adjoint SU(2) lattice gauge theory at non-zero temperatures using the strong coupling expansion. In the extended coupling plane we show the…

High Energy Physics - Lattice · Physics 2009-09-25 Manu Mathur

We study the ground state of the two-dimensional Anderson-Hubbard model using a quantum real space renormalization group method. We obtain the phase diagram near half filling. The system is always insulating with disorder. At half filling,…

Condensed Matter · Physics 2007-05-23 Jaichul Yi Lizeng Zhang , Geoff S Canright

We analyze the semileptonic $B\to K_2^*(1430)l^+l^-$ transition in universal extra dimension model. In particular, we present the sensitivity of related observables such as branching ratio, polarization distribution and forward-backward…

High Energy Physics - Phenomenology · Physics 2015-03-19 N. Katirci , K. Azizi

We study the sandpile model on three-dimensional spanning Ising clusters with the temperature $T$ treated as the control parameter. By analyzing the three dimensional avalanches and their two-dimensional projections (which show…

Statistical Mechanics · Physics 2020-03-18 M. N. Najafi , J. Cheraghalizadeh , M. Lukovic , H. J. Herrmann

A single Anderson impurity model recently predicted, through its unstable fixed point, the phase diagram of a two band model correlated conductor, well confirmed by Dynamical Mean Field Theory in infinite dimensions. We study here the one…

Strongly Correlated Electrons · Physics 2009-11-10 Michele Fabrizio , Erio Tosatti

We model the phase transition of a superconductor as a U(1) lattice gauge system, and determine its critical behavior. For this, we perform Monte Carlo simulations, treating the order parameter field and the gauge field on equal footing,…

Superconductivity · Physics 2026-03-11 Greta Sophie Reese , Ludwig Mathey

Recently, a concept of generalized multifractality, which characterizes fluctuations and correlations of critical eigenstates, was introduced and explored for all ten symmetry classes of disordered systems. Here, by using the non-linear…

Disordered Systems and Neural Networks · Physics 2023-09-21 Serafim S. Babkin , Jonas F. Karcher , Igor S. Burmistrov , Alexander D. Mirlin

Here we investigate the single-layer linearized perceptron near the SAT-UNSAT transition point as a prototypical model of the convex continuous satisfaction problems. The simplicity of the model allows us to take into account the effects of…

Disordered Systems and Neural Networks · Physics 2022-09-08 Harukuni Ikeda
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