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The BCS-BEC crossover is studied in a systematic way in the broken-symmetry phase between zero temperature and the critical temperature. This study bridges two regimes where quantum and thermal fluctuations are, respectively, important. The…

Superconductivity · Physics 2007-05-23 P. Pieri , L. Pisani , G. C. Strinati

Temperature dependence of the magnetic penetration depth, $\lambda$(T), was measured in the Meissner state in single crystals B$_{1-x}$K$_{x}$BiO$_{3}$ (x=0.37) using tunnel diode resonator technique. At low temperatures, $0.013 \le T/T_c…

Superconductivity · Physics 2011-11-09 Alexey Snezhko , Ruslan Prozorov

A theory of local temperature measurement of an interacting quantum electron system far from equilibrium via a floating thermoelectric probe is developed. It is shown that the local temperature so defined is consistent with the zeroth,…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Charles A. Stafford

Classical fields approximation to cold weakly interacting bosons allows for a unified treatment of condensed and uncondensed parts of the system. Until now, however, the quantitative predictions were limited by a dependence of the results…

Other Condensed Matter · Physics 2009-11-10 Lukasz Zawitkowski , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

The temperature dependence of the London penetration depth, $\lambda(T)$, was measured in polycrystalline MgB$_2$ samples by a high-resolution, radio frequency technique. A clear exponential temperature dependence of $\lambda(T)$ was…

Superconductivity · Physics 2007-05-23 F. Manzano , A. Carrington

We show that the Dobrushin-Shlosman conditions CV for the uniqueness of the Gibbs state provide the exact value for the critical temperature of the d-dimensional Ising model.

Mathematical Physics · Physics 2025-12-04 Senya Shlosman

The applicability conditions of a recently reported Central Limit Theorem-based approximation method in statistical physics are investigated and rigorously determined. The failure of this method at low and intermediate temperature is proved…

Statistical Mechanics · Physics 2012-03-21 Bruno Leggio , Oleg Lychkovskiy , Antonino Messina

We propose a new method to investigate the existence and location of the conjectured high-temperature critical point of strongly interacting matter via contours of constant entropy density. By approximating these lines as a power series in…

High Energy Physics - Phenomenology · Physics 2026-02-18 Hitansh Shah , Mauricio Hippert , Jorge Noronha , Claudia Ratti , Volodymyr Vovchenko

We consider gapless models of statistical mechanics. At zero temperatures correlation functions decay asymptotically as powers of distance in these models. Temperature correlations decay exponentially. We used an example of solvable model…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Korepin , Nikita Slavnov

The solutions of a renormalized BCS model are studied in two space dimensions in $s$, $p$ and $d$ waves for finite-range separable potentials. The gap parameter, the critical temperature $T_c$, the coherence length $\xi$ and the jump in…

Superconductivity · Physics 2009-10-30 Sadhan K. Adhikari , Angsula Ghosh

Using a formalism based on the two-body S-matrix we study two-dimensional Bose and Fermi gases with both attractive and repulsive interactions. Approximate analytic expressions, valid at weak coupling and beyond, are developed and applied…

Quantum Gases · Physics 2017-07-18 Guilherme Franca , Andre LeClair , Joshua Squires

In the paper the Pair Approximation (PA) method for studies of the site-diluted spin-1/2 systems of arbitrary dimensionality with the long-range ferromagnetic interactions is adopted. The method allows to take into account arbitrary…

Statistical Mechanics · Physics 2014-03-26 Karol Szałowski , Tadeusz Balcerzak

We consider the BCS energy gap $\Xi(T)$ (essentially given by $\Xi(T) \approx \Delta(T, \sqrt\mu)$, the BCS order parameter) at all temperatures $0 \le T \le T_c$ up to the critical one, $T_c$, and show that, in the limit of weak coupling,…

Mathematical Physics · Physics 2023-12-19 Joscha Henheik , Asbjørn Bækgaard Lauritsen

From experimental observations of limiting temperatures in heavy ion collisions we derive Tc, the critical temperature of infinite nuclear matter. The critical temperature is 16.6 +- 0.86 MeV. Theoretical model correlations between Tc, the…

Nuclear Experiment · Physics 2009-11-07 J. B. Natowitz , K. Hagel , Y. Ma , M. Murray , L. Qin , R. Wada , J. Wang

We deduce the relation between the critical temperature associated to the symmetry breaking of scalar fields with one--loop correction potential immersed in a thermal bath and the condensation temperature of the aforementioned system,…

Mathematical Physics · Physics 2012-07-11 Elias Castellanos , Tonatiuh Matos

By adopting a $T$-matrix based method within $G_0G$ approximation for the pair susceptibility, we studied the effects of pairing fluctuation on the BCS-BEC crossover in symmetric nuclear matter. The pairing fluctuation induces a pseudogap…

Nuclear Theory · Physics 2015-03-13 Xu-Guang Huang

We present a strangeness-neutral equation of state for QCD that exhibits critical behavior and matches lattice QCD results for the Taylor-expanded thermodynamic variables up to fourth-order in $\mu_B/T$. It is compatible with the SMASH…

High Energy Physics - Phenomenology · Physics 2021-03-16 J. M. Stafford , D. Mroczek , A. R. Nava Acuna , J. Noronha-Hostler , P. Parotto , D. R. P. Price , C. Ratti

Based on weakly-coupled anisotropic BCS theory, the dependence of energy gap and specific heat on temperature are evaluated for superconductor MgB$_2$, and the results are compared with experimental data.We show that the weak coupling…

Superconductivity · Physics 2007-05-23 Todor M. Mishonov , Valery L. Pokrovsky , Hongduo Wei

We study thermodynamic properties of weakly interacting Bose gases above the transition temperature of Bose-Einstein condensation in the framework of a thermodynamic perturbation theory. Cases of local and non-local interactions between…

Quantum Gases · Physics 2021-02-05 M. S. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko , A. G. Sotnikov

We derive the superconductiong mean-field equations for an attractive interaction, V, in the s-wave channel when local Coulomb interactions are taken into account for any value of U. Our results show that the Coulomb repulsion is…

Strongly Correlated Electrons · Physics 2016-08-15 A. A. Schmidt , J. J. Rodríguez-Núñez