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We address the question of weak versus strong universality scenarios for the random-bond Ising model in two dimensions. A finite-size scaling theory is proposed, which explicitly incorporates $\ln L$ corrections ($L$ is the linear finite…

Statistical Mechanics · Physics 2008-02-03 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

We study O(N) symmetric supersymmetric models in three dimensions at finite temperature. These models are known to have an interesting phase structures. In particular, in the limit $N \to \infty$ one finds spontaneous breaking of scale…

High Energy Physics - Theory · Physics 2009-11-07 Moshe Moshe , Jean Zinn-Justin

We show that the amplitude of the finite size correction term for the $n$th moment of the partition function, for randomly interacting directed polymers, diverges (on the high temperature side) as $(n_c - n)^{-r}$, as a critical moment…

Condensed Matter · Physics 2009-10-22 Somendra M. Bhattacharjee , Sutapa Mukherji

We investigate the temperature dependence of the finite-field magnetization of the S=1/2 bond-alternating XY model in the Random magnetic field along the z-direction having the Lorentzian distribution. The random-averaged free energy can be…

Strongly Correlated Electrons · Physics 2015-10-28 Kiyomi Okamoto

The staggered magnetization of the Heisenberg antiferromagnet in two dimensions can be systematically approximated by a 1/N expansion. Cancellation between self energy diagrams leads to a Luttinger-like theorem for the ground state. We…

Condensed Matter · Physics 2009-10-22 Maxim Raykin , Assa Auerbach

We study the energy of a ferromagnetic/antiferromagnetic frustrated spin system with values on two disjoint circumferences of the 3-dimensional unit sphere in a one-dimensional and two-dimensional domain. It consists on the sum of a term…

Mathematical Physics · Physics 2023-09-26 Andrea Kubin , Lorenzo Lamberti

We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki…

Statistical Mechanics · Physics 2017-11-09 Prasenjit Das , Tanusri Saha-Dasgupta , Sanjay Puri

We study the finite-size scaling of the free energy of the Ising model on lattices with the topology of the tetrahedron and the octahedron. Our construction allows to perform changes in the length scale of the model without altering the…

Statistical Mechanics · Physics 2009-10-31 J. Gonzalez

We study canonical-equilibrium properties of Random Field $O(n)$ Models involving classical continuous vector spins of $n$ components with mean-field interactions and subject to disordered fields acting on individual spins. To this end, we…

Statistical Mechanics · Physics 2025-08-07 Soumya Kanti Pal , Shamik Gupta

Combinatorial optimization is a fertile testing ground for statistical physics methods developed in the context of disordered systems, allowing one to confront theoretical mean field predictions with actual properties of finite dimensional…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , J. H. Boutet de Monvel , O. C. Martin

We propose a general strategy for enhancing the anomalous Nernst coefficient based on the Sommerfeld-Bethe relation. This approach provides a systematic framework for understanding the small anomalous Nernst coefficients typically observed…

Materials Science · Physics 2025-10-28 Junya Endo , Hiroyasu Matsuura , Manfred Sigrist , Masao Ogata

We study the behavior of asymptotically free (AF) spin and gauge models when their continuous symmetry group is replaced by different discrete non-Abelian subgroups. Precise numerical results with relative errors down to O(0.1%) suggest…

High Energy Physics - Lattice · Physics 2009-10-31 Peter Hasenfratz , Ferenc Niedermayer

The first quantum corrections to the free energy for massive fields in $D$-dimensional space-times of the form $\R\times\R^+\times\M^{N-1}$, where $D=N+1$ and $\M^{N-1}$ is a constant curvature manifold, is investigated by means of the…

High Energy Physics - Theory · Physics 2010-11-22 Andrei A. Bytsenko , Guido Cognola , Sergio Zerbini

Employing the optimal fluctuation method (OFM), we study the large deviation function of long-time averages $(1/T)\int_{-T/2}^{T/2} x^n(t) dt$, $n=1,2, \dots$, of centered stationary Gaussian processes. These processes are correlated and,…

Statistical Mechanics · Physics 2021-12-13 Baruch Meerson

We study the (analytic) finite-size corrections in the Ising model on the strip with fixed ($+ -$) boundary conditions. We find that subdominant finite-size corrections to scaling should be to the form $a_k/N^{2k-1}$ for the free energy…

Statistical Mechanics · Physics 2015-05-30 N. Sh. Izmailian

We study the antiferromagnetic O(N) model in the F_4 lattice. Monte Carlo simulations are applied for investigating the behavior of the transition for N=2,3. The numerical results show a first order nature but with a large correlation…

High Energy Physics - Lattice · Physics 2009-10-30 H. G. Ballesteros , J. M. Carmona , L. A. Fernandez , A. Tarancon

Replica twist defects are of codimension two and enter in quantum information when finding the R\'enyi entropy. In particular, they generate n replicas of the bulk conformal field theory. We study the monodromy of such defect and learn how…

High Energy Physics - Theory · Physics 2023-07-26 Alexander Söderberg Rousu

The temperature phase transition in the $N$-component scalar field theory with spontaneous symmetry breaking is investigated using the method combining the second Legendre transform and with the consideration of gap equations in the extrema…

High Energy Physics - Theory · Physics 2017-08-23 M. Bordag , V. Skalozub

We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are…

Strongly Correlated Electrons · Physics 2009-12-08 M. Colomé-Tatché , S. I. Matveenko , G. V. Shlyapnikov

Temperature gradient in a ferromagnetic conductor may generate a spontaneous transverse voltage drop in the direction perpendicular to both magnetization and heat current. This anomalous Nernst effect (ANE) has been considered to be…