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We present a study of the influence of different types of disorder on systems in the Ising universality class by employing both a dynamical field theory approach and extensive Monte Carlo simulations. We reproduce some well known results…

Condensed Matter · Physics 2009-10-31 Juan J. Alonso , Miguel A. Munoz

A good understanding of conformal field theory (CFT) at c=0 is vital to the physics of disordered systems, as well as geometrical problems such as polymers and percolation. Steady progress has shown that these CFTs should be logarithmic,…

Mathematical Physics · Physics 2014-11-20 Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We study topological defect lines in two-dimensional rational conformal field theory. Continuous variation of the location of such a defect does not change the value of a correlator. Defects separating different phases of local CFTs with…

High Energy Physics - Theory · Physics 2008-11-26 Jürg Fröhlich , Jürgen Fuchs , Ingo Runkel , Christoph Schweigert

Recent work on random field Ising model is described briefly emphasizing exact solutions of the model in simple cases and their relevance in understanding equilibrium and non-equilibrium properties of systems with quenched disorder.

Statistical Mechanics · Physics 2007-05-23 Prabodh Shukla

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

Statistical Mechanics · Physics 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

We consider logarithmic conformal field theories near a boundary and derive the general form of one and two point functions. We obtain results for arbitrary and two dimensions. Application to two dimensional magnetohydrodynamics is…

High Energy Physics - Theory · Physics 2007-05-23 S. Moghimi-Araghi , S. Rouhani

We study the holographic dual of two-point correlation functions for nonconformal field theories. We first take into account a Lifshitz geometry as the dual of a Lifshitz field theory which may appear at a critical or IR fixed point. We…

High Energy Physics - Theory · Physics 2023-06-14 Chanyong Park

It is shown that the ratios of the quenched averaged three and four-point correlation functions of the local energy density operator to the connected ones in the random-bond Ising model approach asymptotically to some $universal$ functions.…

Condensed Matter · Physics 2009-10-31 M. Reza Rahimi Tabar

Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT)…

High Energy Physics - Theory · Physics 2021-01-26 Kasia Budzik , Miroslav Rapcak , Jairo M. Rojas

In the two-dimensional Ising model weak random surface field is predicted to be a marginally irrelevant perturbation at the critical point. We study this question by extensive Monte Carlo simulations for various strength of disorder. The…

Statistical Mechanics · Physics 2007-05-23 M. Pleimling , F. A. Bagamery , L. Turban , F. Igloi

The critical behavior of the random transverse-field Ising model in finite dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder…

Disordered Systems and Neural Networks · Physics 2018-03-28 Ferenc Iglói , István A. Kovács

Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices. For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states…

Quantum Physics · Physics 2022-04-25 Alexander Jahn , Marek Gluza , Charlotte Verhoeven , Sukhbinder Singh , Jens Eisert

In the spirit of classic works of Wilson on the renormalization group and operator product expansion, a new framework for the study of the theory space of euclidean quantum field theories has been introduced. This formalism is particularly…

High Energy Physics - Theory · Physics 2009-10-22 B. Mikhak , A. M. Zarkesh

We formulate a quantum embedding algorithm in real-space for the simultaneous theoretical treatment of nonlocal electronic correlations and disorder, the coherent cellular dynamical mean-field theory (C-CDMFT). This algorithm combines the…

Strongly Correlated Electrons · Physics 2026-01-09 Patrick Tscheppe , Marcel Klett , Henri Menke , Sabine Andergassen , Niklas Enderlein , Philipp Hansmann , Thomas Schäfer

Dynamical mean-field theory (DMFT) is a non-perturbative technique for the investigation of correlated electron systems. Its combination with the local density approximation (LDA) has recently led to a material-specific computational scheme…

Strongly Correlated Electrons · Physics 2009-11-10 D. Vollhardt , K. Held , G. Keller , R. Bulla , Th. Pruschke , I. A. Nekrasov , V. I. Anisimov

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain…

Statistical Mechanics · Physics 2013-02-05 Smain Balaska , Nahed Sihem Bounoua

Matched asymptotic expansion is a useful technique in General Relativity and other fields whenever interaction takes place between physics at two different length scales. Here matched asymptotic expansion is argued to be equivalent quite…

High Energy Physics - Theory · Physics 2008-11-26 Barak Kol , Michael Smolkin

We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general and without assuming any symmetry for the models, which we…

High Energy Physics - Theory · Physics 2019-05-01 Alessandro Codello , Mahmoud Safari , Gian Paolo Vacca , Omar Zanusso

We study the configurations of the nearest neighbor Ising ferromagnetic chain with IID centered and square integrable external random field in the limit in which the pairwise interaction tends to infinity. The available free energy…

Probability · Mathematics 2025-03-03 Orphée Collin , Giambattista Giacomin , Yueyun Hu

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas