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We show that phase transitions in Ising systems with planar defects, i.e., disorder perfectly correlated in two dimensions are destroyed by smearing. This is caused by effects similar to but stronger than the Griffiths phenomena:…

Disordered Systems and Neural Networks · Physics 2009-11-10 Thomas Vojta

The problem of N interacting spins on a lattice is equivalent to one of N clusters linked in a specific manner. The energy of any configuration of spins can be expressed in terms of the energy levels of this cluster. A new expression is…

Statistical Mechanics · Physics 2007-05-23 T. R. S. Prasanna

The N\'eel temperature, staggered magnetization density, as well as the spinwave velocity of a three-dimensional (3D) quantum Heisenberg model with antiferromagnetic disorder (randomness) are calculated using first principles…

Strongly Correlated Electrons · Physics 2017-03-08 D. -R. Tan , F. -J. Jiang

We reinvestigate the large degeneracy solution of the multichannel Kondo problem, and show how in the universal regime the complicated integral equations simplifying the problem can be mapped onto a first order differential equation. This…

Strongly Correlated Electrons · Physics 2009-11-10 Serge Florens

The axial next-nearest-neighbor Ising model is studied in two dimensions at finite temperature using the density matrix renormalization group. The model exhibits phase transition of the second-order between the antiphase in low temperature…

Statistical Mechanics · Physics 2009-11-11 Rene Derian , Andrej Gendiar , Tomotoshi Nishino

We present a general, rigorous theory of partition function zeros for lattice spin models depending on one complex parameter. First, we formulate a set of natural assumptions which are verified for a large class of spin models in a…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Logan J. Kleinwaks , Roman Kotecky

For generalized 2D Ising model in an external magnetic field with the interaction of nearest neighbors, next nearest neighbors, all kinds of triple interactions and the quadruple interaction the formulas for finding free energy per lattice…

Exactly Solvable and Integrable Systems · Physics 2020-04-07 Pavel Khrapov

We discuss the Euclidean quantum $O(N)$ model with $N=2$ in a continuous broken symmetry phase. We study the system at low temperatures in the presence of quenched disorder linearly coupled to the scalar field. Performing an average over…

High Energy Physics - Theory · Physics 2022-08-10 G. O. Heymans , N. F. Svaiter , G. Krein

We investigate the impact of quenched disorder on the dynamical correlation functions of two-leg quantum spin ladders. Perturbative continuous unitary transformations with the help of white graphs and bond-operator mean-field theory are…

Strongly Correlated Electrons · Physics 2018-10-24 M. Hörmann , P. Wunderlich , K. P. Schmidt

Phase transitions occur when a macroscopic number of local degrees of freedom coherently change their behavior. In ground states of quantum many-body systems, phase transitions due to quantum fluctuations are observed as non-analytic…

Statistical Mechanics · Physics 2026-02-03 István Csépányi , Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Márton Kormos

We present some exact results for the effect of disorder on the critical properties of an anisotropic XY spin chain in a transverse field. The continuum limit of the corresponding fermion model is taken and in various cases results in a…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. E. Bunder , Ross H. McKenzie

The phase transition patterns displayed by a model of two coupled complex scalar fields are studied at finite temperature and chemical potential. Possible phenomena like symmetry persistence and inverse symmetry breaking at high…

High Energy Physics - Phenomenology · Physics 2023-02-24 Manuella C. Silva , Rudnei O. Ramos , Ricardo L. S. Farias

We study the quantum phase transition of the one-dimensional phase model in the presence of dissipative frustration, provided by an interaction of the system with the environment through two non-commuting operators. Such a model can be…

Statistical Mechanics · Physics 2018-04-25 Dominik Maile , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

Systems with itinerant fermions close to a zero temperature quantum phase transition like the high temperature superconductors exhibit unusual non-Fermi liquid properties. The interaction of the long-range and low-energy fluctuations of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hartmut Monien

We examine the quantum correlations of spin pairs in the cyclic $XX$ spin 1/2 chain in a transverse field, through the analysis of the quantum discord, the geometric discord and the information deficit. It is shown that while these…

Quantum Physics · Physics 2013-07-24 L. Ciliberti , N. Canosa , R. Rossignoli

We study the behaviour of the fidelity and the Uhlmann connection in two-dimensional systems of free fermions that exhibit non-trivial topological behavior. In particular, we use the fidelity and a quantity closely related to the Uhlmann…

Strongly Correlated Electrons · Physics 2019-01-02 S. T. Amin , B. Mera , C. Vlachou , N. Paunković , V. R. Vieira

A system of spinless fermions in $d=1+\epsilon$ dimensions, at zero-temperature and in random potential is studied using the perturbative renormalization group to first order in disorder and to second order in interaction. We find a…

Superconductivity · Physics 2009-10-30 Igor F. Herbut

The flux line lattice melting transition in two-dimensional pure and disordered superconductors is studied by a Monte Carlo simulation using the lowest Landau level approximation and quasi-periodic boundary condition on a plane. The…

Superconductivity · Physics 2009-11-07 Mai Suan Li , Thomas Nattermann

We investigate several models described by real scalar fields, searching for topological defects, and investigating their linear stability. We also find bosonic zero modes and examine the thermal corrections at the one-loop level. The…

High Energy Physics - Theory · Physics 2007-05-23 D. Bazeia , A. S. Inacio , L. Losano

Thermal fluctuations are known to play an important role in low-dimensional systems which may undergo incommensurate-commensurate or (for an accidentally commensurate wavevector) lock-in transitions. In particular, an intermediate floating…

Statistical Mechanics · Physics 2007-05-23 T. Nattermann , T. Emig , S. Bogner