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We study the scaling properties of critical particle systems confined by a potential. Using renormalization-group arguments, we show that their critical behavior can be cast in the form of a trap-size scaling, resembling finite-size scaling…

Statistical Mechanics · Physics 2013-05-29 Massimo Campostrini , Ettore Vicari

Re-entrance is a novel feature where the phase boundaries of a system exhibit a succession of transitions between two phases A and B, like A-B-A-B, when just one parameter is varied monotonically. This type of re-entrance is displayed by…

Quantum Gases · Physics 2015-06-05 M. Pino , J. Prior , A. M. Somoza , D. Jaksch , S. R. Clark

A novel perturbative analysis for the 2+1 local supercritical field theory of pomerons is developed. It is based on the PT symmetry of the model which allows to study a similar Hamiltonian with the same real perturbative spectrum. In the…

High Energy Physics - Phenomenology · Physics 2009-07-16 G. P. Vacca

The critical behavior of a family of fully connected mean-field models with quenched disorder, the $M-p$ Ising spin glass, is analyzed, displaying a crossover between a continuous and a random first order phase transition as a control…

Disordered Systems and Neural Networks · Physics 2015-05-20 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , T. Rizzo

We show by a detailed study of the mean-field approximation, the Gaussian approximation, the perturbation expansion, and the field-theoretic renormalization-group analysis of a $\varphi^{3}$ theory that its instability fixed points with…

Statistical Mechanics · Physics 2012-05-08 Fan Zhong

We have numerically studied the trapping problem in a two-dimensional lattice where particles are continuously generated. We have introduced interaction between particles and directionality of their movement. This model presents a critical…

High Energy Physics - Lattice · Physics 2009-10-22 I. Campos , A. Tarancon

This paper is the fourth in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. The third paper in the series presents a perturbative…

Mathematical Physics · Physics 2015-06-19 David C. Brydges , Gordon Slade

The interplay between topology and criticality has been a recent interest of study in condensed matter physics. A unique topological transition between certain critical phases has been observed as a consequence of the edge modes living at…

Strongly Correlated Electrons · Physics 2023-08-21 Ranjith R Kumar , Y R Kartik , Sujit Sarkar

Quasiperiodic systems are known to exhibit localization transitions in low dimensions, wherein all electronic states become localized beyond a critical disorder strength. Interestingly, recent studies have uncovered a reentrant localization…

Disordered Systems and Neural Networks · Physics 2025-09-04 Sourav Karmakar , Sudin Ganguly , Santanu K. Maiti

Scaling properties of a self-dual field-theoretical model, describing two weakl$spinless Luttinger chains, are studied. A crossover to a sine-Gordon massive phase, with strongly developed two-particleinterchain correlations, is described.…

Condensed Matter · Physics 2009-10-22 A. A. Nersesyan , A. Luther , F. V. Kusmartsev

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck , A. Hucht

In this paper we investigate renormalisation group flows of supersymmetric minimal models generated by the boundary perturbing field (\hat G_{-1/2}\phi_{1,3}). Performing the Truncated Conformal Space Approach analysis the emerging pattern…

High Energy Physics - Theory · Physics 2008-11-26 M. Kormos

Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon lowering the energy scale, collective phenomena, bound states, and new effective degrees of freedom emerge. Typical examples include (i) competing…

Strongly Correlated Electrons · Physics 2015-05-28 Walter Metzner , Manfred Salmhofer , Carsten Honerkamp , Volker Meden , Kurt Schoenhammer

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

Strongly Correlated Electrons · Physics 2011-04-04 M. Ménard , C. Bourbonnais

Recently precise results for the boundary between the Mott insulator phase and the superfluid phase of the homogeneous Bose-Hubbard model have become available for arbitrary integer filling factor g and any lattice dimension d > 1. We use…

Other Condensed Matter · Physics 2009-11-18 Niklas Teichmann , Dennis Hinrichs

A family $H_\mu(p),$ $\mu>0,$ $p\in\T^3$ of the Generalized Firedrichs models with the perturbation of rank one, associated to a system of two particles, moving on the three dimensional lattice $\mathbb{\Z}^3,$ is considered. The existence…

Mathematical Physics · Physics 2014-12-02 Saidakhmat N. Lakaev , Maslina Darus , Said T. Dustov

The field-theoretical model describing multicritical phenomena with two coupled order parameters with n_{||} and n_{\perp} components and of O(n_{||}) \oplus O(n_{\perp}) symmetry is considered. Conditions for realization of different types…

Statistical Mechanics · Physics 2012-12-27 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

Intense experimental and theoretical studies have demonstrated that the anisotropic triangular lattice as realized in the kappa-(BEDT-TTF)2X family of organic charge transfer (CT) salts yields a complex phase diagram with magnetic,…

Strongly Correlated Electrons · Physics 2010-06-04 Hem C. Kandpal , Ingo Opahle , Yu-Zhong Zhang , Harald O. Jeschke , Roser Valenti

We study the scaling and universal behavior of temperature-driven first-order phase transitions in scalar models. These transitions are found to exhibit rich phenomena, though they are controlled by a single complex-conjugate pair of the…

Statistical Mechanics · Physics 2016-06-16 Ning Liang , Fan Zhong

Particles confined to a single file, in a narrow quasi-one dimensional channel, exhibit a dynamic crossover from single file diffusion to Fickian diffusion as the channel radius increases and the particles can begin to pass each other. The…

Soft Condensed Matter · Physics 2017-04-27 Sheida Ahmadi , Richard K. Bowles