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In the low temperature phase of the square Ising model, we describe the inverse temperature beta as the function of a squared mass M and study the critical behavior of beta(M) via the large M expansion. Using the delta-expansion by which…

High Energy Physics - Lattice · Physics 2015-03-31 Hirofumi Yamada

Thermodynamic properties of any quantum spin system can be described by the formally exact, although in general intractable, effective classical Hamilton function \cal H. Here we obtain an explicit form of \cal H which applies at T << J…

Statistical Mechanics · Physics 2007-05-23 D. A. Garanin , D. V. Dmitriev , P. Fulde

We consider the dynamics and thermodynamics of a pair of magnetic dipoles interacting via their magnetic fields. We consider only the "spin" degrees of freedom; the dipoles are fixed in space. With this restriction it is possible to provide…

Statistical Mechanics · Physics 2015-06-23 Heinz-Jürgen Schmidt , Christian Schröder , Eva Hägele , Marshall Luban

If the zero-field transition in high temperature superconductors such as YBa_2Cu_3O_7-\delta is a critical point in the universality class of the 3-dimensional XY model, then the general theory of critical phenomena predicts the existence…

Superconductivity · Physics 2009-11-07 Dominic J. Lee , Ian D. Lawrie

We introduce the multiplicative Ising model and prove basic properties of its thermodynamic formalism such as existence of pressure and entropies. We generalize to one-dimensional "layer-unique" Gibbs measures for which the same results can…

Probability · Mathematics 2014-01-30 J. -R. Chazottes , F. Redig

We use numerical linked cluster expansions to study thermodynamic properties of the two-dimensional spin-1/2 Ising, XY, and Heisenberg models with bimodal random-bond disorder on the square and honeycomb lattices. In all cases, the…

Statistical Mechanics · Physics 2015-06-03 Baoming Tang , Deepak Iyer , Marcos Rigol

High-temperature resummed perturbation theory is plagued by poor convergence properties. The problem appears for theories with bosonic field content such as QCD, QED or scalar theories. We calculate the pressure as well as other…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Berges , Sz. Borsanyi , U. Reinosa , J. Serreau

We propose to combine the nonlinear scaling fields associated with the high-temperature (HT) fixed point, with those associated with the unstable fixed point, in order to calculate the susceptibility and other thermodynamic quantities. The…

Statistical Mechanics · Physics 2007-05-23 Y. Meurice , S. Niermann

We numerically compute the temperature dependence of spin structure factor and thermodynamic quantities in the antiferromagnetic quantum Ising model in the pyrochlore lattice. This model exhibits spin disorder ground state with…

Statistical Mechanics · Physics 2015-06-03 Cheng-Ju Lin , Chen-Nan Liao , Chyh-Hong Chern

We propose a systematic way to investigate the low-temperature thermodynamic properties of quantum spin systems subject to the restriction that only a finite number of bosons may occupy a single lattice site. Such a kinematical interaction…

Soft Condensed Matter · Physics 2016-08-31 L. V. Popovich , M. V. Medvedev

By means of inelastic neutron scattering we investigate finite temperature dynamics in the quantum spin ladder compound (C$_5$H$_{12}$N)$_2$CuBr$_4$ (BPCB) near the magnetic field induced quantum critical point with dynamical exponent…

Strongly Correlated Electrons · Physics 2018-12-31 D. Blosser , V. K. Bhartiya , D. J. Voneshen , A. Zheludev

The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temperature $\beta_{\mathrm{c}}$, which is determined by the…

Mathematical Physics · Physics 2025-09-01 Yoshinori Kamijima , Akira Sakai

We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, statistical mechanical entropy, and specific heat, into algorithmic…

Information Theory · Computer Science 2009-04-09 Kohtaro Tadaki

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

We present a scaling theory for the effect of thermal fluctuations on the characteristics of the depinning transition, and also in the closely related directed percolation model. Thermal effects act as a sort of external field that produces…

Statistical Mechanics · Physics 2017-04-07 E. A. Jagla

In this article we consider two spin$-1/2$ chains described, respectively, by the thermodynamic limit of the $XY$ model with the usual two site interaction, and an extension of this model (without taking the thermodynamics limit), called…

Quantum Physics · Physics 2015-05-21 Thiago M. Carrijo , Ardiley T. Avelar , Lucas C. Céleri

Degenerate Fermi gases of atoms near a Feshbach resonance show universal thermodynamic properties, which are here calculated with the geometry of thermodynamics, and the thermodynamic curvature $R$. Unitary thermodynamics is expressed as…

Statistical Mechanics · Physics 2015-06-17 George Ruppeiner

In a previous paper (JHEP {\bf 05} (2014) 27), we calculated the three-loop thermodynamic potential of QCD at finite temperature $T$ and quark chemical potentials $\mu_q$ using the hard-thermal-loop perturbation theory (HTLpt)…

High Energy Physics - Phenomenology · Physics 2016-04-06 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland

The ground state properties and the thermodynamics of the one-dimensional SU(4) symmetric spin system with orbital degeneracy are investigated using the quantum Monte Carlo loop algorithm. The spin-spin correlation functions exhibit a…

Condensed Matter · Physics 2007-05-23 Beat Frischmuth , Frederic Mila , Matthias Troyer

The spectral and thermodynamic response of segmented quantum spin chains is analyzed using a combination of numerical techniques and finite-size scaling arguments. Various distributions of segment lengths are considered, including the two…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas
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