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The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a…

凝聚态物理 · 物理学 2009-10-28 Hualin Shi , Wei-Mou Zheng

We examine possibility of enhancement of superconductive critical temperature in two-dimensions. The weak coupling BCS theory is applied, especially when the Fermi level is near the edges of the electronic bands. The attractive interaction…

超导电性 · 物理学 2015-06-24 Mahito Kohmoto , Iksoo Chang , Jacques Friedel

By means of Cornwall-Jackiw-Tomboulis effective action approach we investigate a homogeneous dilute weakly interacting Bose gas at finite temperature in vicinity of critical region. A longstanding debate, the shift of critical temperature,…

量子气体 · 物理学 2024-04-02 Nguyen Van Thu , Pham Duy Thanh

We show that, within a linear approximation of BCS theory, a weak homogeneous magnetic field lowers the critical temperature by an explicit constant times the field strength, up to higher order terms. This provides a rigorous derivation and…

数学物理 · 物理学 2020-03-27 Rupert L. Frank , Christian Hainzl , Edwin Langmann

The level density at low spin in the 161,162-Dy and 171,172-Yb nuclei has been extracted from primary gamma rays. The nuclear heat capacity is deduced within the framework of the canonical ensemble. The heat capacity exhibits an S-formed…

We introduce the strongly-interacting trap model, a version of Bouchaud's trap model for glasses [Bouchaud J-P 1992 {\em J. Phys. I France {\bf 2}} 1705]. At finite temperatures the model exhibits glassy relaxation over intermediate…

统计力学 · 物理学 2009-10-31 David Head

We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For $\cosh(\delta_\mu/T) \leq 2$, with $T$ the temperature and $\delta_\mu$ the chemical potential difference, the question of existence…

数学物理 · 物理学 2015-05-28 Abraham Freiji , Christian Hainzl , Robert Seiringer

We study the BCS energy gap $\Xi$ in the high-density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential $V$ on the Fermi surface. In combination with the recent result by one of us…

数学物理 · 物理学 2023-12-21 Joscha Henheik , Asbjørn Bækgaard Lauritsen

The solutions of a renormalized BCS equation are studied in three space dimensions in $s$, $p$ and $d$ waves for finite-range separable potentials in the weak to medium coupling region. In the weak-coupling limit, the present BCS model…

超导电性 · 物理学 2009-10-30 Angsula Ghosh , Sadhan K. Adhikari

We calculate the critical temperature below which an excitonic insulator exists at the pressure-induced semiconductor-semimetal transition. Our approach is based on an effective-mass model for valence and conduction band electrons…

强关联电子 · 物理学 2009-11-11 Franz X. Bronold , Holger Fehske

Motivated by pressure experiments on UBe_{13} and Tl_{2}Ba_{2}CaCu_{2}O_8, we discuss low-temperature effects of the pairing interaction at a superconducting quantum critical point in a clean system. We point out that measurements at this…

凝聚态物理 · 物理学 2009-10-30 Revaz Ramazashvili

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics…

高能物理 - 理论 · 物理学 2025-07-22 Jan Ambjørn , Yuki Sato , Tomo Tanaka

With a high-performance Monte Carlo algorithm we study the interaction-induced shift of the critical point in weakly interacting three-dimensional $|\psi|^4$-theory (which includes quantum Bose gas). In terms of critical density, $n_c$,…

凝聚态物理 · 物理学 2007-05-23 Nikolay Prokof'ev , Boris Svistunov , V. A. Kashurnikov

Two principles govern the critical temperature for superconducting transitions: (1)~intrinsic strength of the pair coupling and (2)~effect of the many-body environment on the efficiency of that coupling. Most discussions take into account…

超导电性 · 物理学 2020-04-09 Mike Guidry , Yang Sun , Lian-Ao Wu

We compute singlet pairing gaps and critical temperatures in pure neutron matter with different many-body approximations. Medium effects tend to reduce gaps and critical temperatures compared to the standard BCS ansatz. In the mean-field…

核理论 · 物理学 2022-06-01 M. Drissi , A. Rios

Starting from the Bardeen-Cooper-Schrieffer (BCS) free energy functional, we derive the Ginzburg-Landau functional in the presence of a weak homogeneous magnetic field. We also provide an asymptotic formula for the BCS critical temperature…

数学物理 · 物理学 2023-08-17 Andreas Deuchert , Christian Hainzl , Marcel Maier

We study the properties of a quantum critical point which develops in a BCS superconductor when pair-breaking suppresses the transition temperature to zero. The pair fluctuations are characterized by a dynamical critical exponent z=2.…

凝聚态物理 · 物理学 2009-10-30 Revaz Ramazashvili , Piers COleman

We consider the two-dimensional BCS functional with a radial pair interaction. We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum…

数学物理 · 物理学 2025-05-08 Andreas Deuchert , Alissa Geisinger , Christian Hainzl , Michael Loss

The critical temperature for the attractive Hubbard model on a square lattice is determined from the analysis of two independent quantities, the helicity modulus, $\rho_s$, and the pairing correlation function, $P_s$. These quantities have…

强关联电子 · 物理学 2009-11-10 Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar , P. J. H. Denteneer

A homogeneous non-relativistic Bose gas is investigated at finite temperature using renormalization group methods. The phase transition is shown to be second order and the effective chemical potential and the effective quartic coupling…

凝聚态物理 · 物理学 2009-09-25 Jens O. Andersen , Michael Strickland