Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

Random-field effects in critical phenomena. Exactly solvable model

Demetris Nicolaides, Alexander A. Lisyansky

Published May 1, 1995• 6 citations
Publisher
DOI
10.1016/0375-9601(95)00256-3

Related papers

Study of the Influence of Random Fields on Phase Transitions Using the Example of the Exactly Solvable Model

В. Н. Бородихин, Vladimir V. Prudnikov

Metals and Materials International•May 11, 2024•0 citations

Random field effects in classical and quantum critical phenomena

Dimo I. Uzunov, Elka Korutcheva, YONKO T. MILLEV

Physica A Statistical Mechanics and its Applications•Feb 1, 1985•9 citations

Fluctuation effects in the Ising model with reduced interaction and quenched disorder

Demetris Nicolaides, Alexander A. Lisyansky

The effect of quenched random fields and local perturbations of critical temperature on the critical behavior at phase transitions is studied within the framework of an exactly solvable model that takes into account interaction of fluctuations with equal and opposite momenta. Using the replica method the dimensional reduction by 2 for systems with finite-range interaction and quenched random fields is explicitly shown. For interaction of the infinite range the model demonstrates the mean-field critical asymptotics independently of dimensionality or the presence of random fields. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matter•Apr 1, 1996•11 citations

Critical behavior of dirty free parafermionic chains

Akshat Pandey, Aditya Cowsik

Abstract A family of Z n -symmetric non-Hermitian models of Baxter was shown by Fendley to be exactly solvable via a parafermionic generalization of the Clifford algebra. We study these models with spatially random couplings, and obtain several exact results on thermodynamic singularities as the distributions of couplings are varied. We find that these singularities, independent of n, are identical to those in the random transverse-field Ising chain; correspondingly the models host infinite-randomness critical points. Similarities in structure to exact methods for random Ising models, a strong-disorder renormalization group, and generalizations to other models with free spectra, are discussed.

arXiv:2404.04324•Journal of Physics A Mathematical and Theoretical•Jul 24, 2024•0 citations

Theory of Critical Phenomena in Random Systems

Amnon Aharony A

NATO ASI series. Series B : Physics•Jan 1, 1991•1 citation

Random-Field Correlations and Quantum Critical Phenomena

Dimo I. Uzunov, E. R. Kokutcheva, YONKO T. MILLEV

De Gruyter eBooks•Dec 31, 1985•0 citations
The effect of quenched random fields and local perturbations of critical temperature on the critical behavior at phase transitions is studied within the framework of an exactly solvable model that takes into account interaction of fluctuations with equal and opposite momenta. Using the replica method the dimensional reduction by 2 for systems with finite-range interaction and quenched random fields is explicitly shown. For interaction of the infinite range the model demonstrates the mean-field critical asymptotics independently of dimensionality or the presence of random fields. \textcopyright{} 1996 The American Physical Society.
Abstract A family of Z n -symmetric non-Hermitian models of Baxter was shown by Fendley to be exactly solvable via a parafermionic generalization of the Clifford algebra. We study these models with spatially random couplings, and obtain several exact results on thermodynamic singularities as the distributions of couplings are varied. We find that these singularities, independent of n, are identical to those in the random transverse-field Ising chain; correspondingly the models host infinite-randomness critical points. Similarities in structure to exact methods for random Ising models, a strong-disorder renormalization group, and generalizations to other models with free spectra, are discussed.