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The bivariate high-temperature expansion of the spin-spin correlation-function of the three-dimensional classical XY (planar rotator) model, with spatially-anisotropic nearest-neighbor couplings, is extended from the 10th through the 21st…

High Energy Physics - Lattice · Physics 2010-04-30 P. Butera , M. Pernici

We study asymptotic expansions of spin-spin correlation functions for the XXZ Heisenberg chain in the critical regime. We use the fact that the long-distance effects can be described by the Gaussian conformal field theory. Comparing exact…

High Energy Physics - Theory · Physics 2010-04-05 Sergei Lukyanov , Veronique Terras

In this article, addressing large $n$ systems, we report that in numerous systems hosting long and short range interactions, multiple correlation lengths may appear. The largest correlation lengths often monotonically increase with…

Soft Condensed Matter · Physics 2007-05-23 Zohar Nussinov

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to…

Quantum Gases · Physics 2021-01-15 Daniel A. Paz , Mohammad F. Maghrebi

The Lieb-Liniger model describes one-dimensional bosons interacting through a repulsive contact potential. In this work, we introduce an extended version of this model by replacing the contact potential with a decaying exponential. Using…

Strongly Correlated Electrons · Physics 2015-09-08 Julian Rincon , Martin Ganahl , Guifre Vidal

The Debye-H\"uckel theory describes rigorously the thermal equilibrium of classical Coulomb fluids in the high-temperature $\beta\to 0$ regime ($\beta$ denotes the inverse temperature). It is generally believed that the Debye-H\"uckel…

Statistical Mechanics · Physics 2009-11-13 L. Samaj

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

Statistical Mechanics · Physics 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

Recently, it has been found that an effective long-range interaction is realized among local bistable variables (spins) in systems where the elastic interaction causes ordering of the spins. In such systems, generally we expect both…

Statistical Mechanics · Physics 2011-08-12 Taro Nakada , Per Arne Rikvold , Takashi Mori , Masamichi Nishino , Seiji Miyashita

We investigate a two-dimensional classical $N$-vector model with a nonlinear interaction $(1 + \bsigma_i\cdot \bsigma_j)^p$ in the large-N limit. As observed for N=3 by Bl\"ote {\em et al.} [Phys. Rev. Lett. {\bf 88}, 047203 (2002)], we…

Statistical Mechanics · Physics 2011-07-19 Sergio Caracciolo , Andrea Pelissetto

We address the problem of calculating finite-temperature response functions of an experimentally relevant low-dimensional strongly-correlated system: the integrable 1D Bose gas with repulsive \delta-function interaction (Lieb-Liniger…

Quantum Gases · Physics 2014-03-10 Miłosz Panfil , Jean-Sébastien Caux

Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the…

Statistical Mechanics · Physics 2009-10-30 Takeo Kato , Masatoshi Imada

We derive exact closed form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate result we obtain the high-p asymptotics of the momentum…

Condensed Matter · Physics 2009-11-07 Maxim Olshanii , Vanja Dunjko

We discuss the calculation of the linear conductance through a Coulomb-blockade quantum dot in the presence of interactions beyond the charging energy. In the limit where the temperature is large compared with a typical tunneling width, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , T. Rupp , A. Kaminski , L. I. Glazman

Near a two-dimensional Ising-type nematic quantum critical point, the quantum fluctuations of the nematic order parameter are coupled to the electrons, leading to non-Fermi liquid behavior and unconventional superconductivity. The interplay…

Superconductivity · Physics 2025-12-24 Jie Huang , Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

We derive explicit expressions for dynamical correlations of the field and density operators in the Lieb-Liniger model, within an arbitrary eigenstate with a small particle density ${\cal D}$. They are valid for all space and time and any…

Mathematical Physics · Physics 2021-03-31 Etienne Granet

We consider isotropic XY model in the transverse magnetic field on the one dimensional lattice. Another name of the model in Heisenberg XXO model of spin 1/2.We solved long standing problem of evaluation of temperature correlations. We…

Condensed Matter · Physics 2007-05-23 Alexandr Its , Anatloij Izergin , Vladimr Korepin , Nikita Slavnov

We present a detailed Monte Carlo study of the high-temperature phase of the two-dimensional driven lattice gas at infinite driving field. We define a finite-volume correlation length, study its finite-size-scaling behavior and extrapolate…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Andrea Gambassi , Massimiliano Gubinelli , Andrea Pelissetto

We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we reduce the summation over all excited states…

High Energy Physics - Theory · Physics 2015-05-30 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

The time-dependent Ginzburg-Landau approach is used to investigate nonlinear response of a strongly type-II superconductor. The dissipation takes a form of the flux flow which is quantitatively studied beyond linear response. Thermal…

Superconductivity · Physics 2015-05-18 Bui Duc Tinh , Dingping Li , Baruch Rosenstein