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Using renormalization-group arguments we show that the low-temperature thermodynamics of a three- or two-dimensional dilute Bose gas is fully determined by a universal scaling function $\calF_d(\mu/k_BT,\tilde g(T))$ once the mass $m$ and…

Quantum Gases · Physics 2012-06-26 A. Rancon , N. Dupuis

Critical exponents characterize the divergent scaling of thermodynamic quantities near phase transitions and allow for the classification of physical systems into universality classes. While quantum gases thermalizing by interparticle…

We performed resonant microwave measurements on superconducting titanium (Ti) down to temperatures of 40~mK, well below its critical temperature $T_\mathrm{c} \approx 0.5$~K. Our wide frequency range 3.3-40~GHz contains the zero-temperature…

Superconductivity · Physics 2018-06-27 Markus Thiemann , Martin Dressel , Marc Scheffler

We investigate the thermodynamics of a Bose gas interacting with repulsive forces and confined in a harmonic trap. We show that the relevant parameters of the system (temperature, number N of atoms, harmonic oscillator length, deformation…

Condensed Matter · Physics 2009-10-28 S. Giorgini , L. Pitaevskii , S. Stringari

We propose a statistical mechanical framework to unify the observed relationship between the superconducting energy gap $\Delta$, the pseudogap $\Delta^\ast$, and the critical temperature $T_\mathrm{c}$. In this model, fermions couple as a…

Superconductivity · Physics 2025-04-15 Chung-Ru Lee

We describe the different regimes of finite temperature dynamics in the vicinity of a zero temperature superconductor to insulator quantum phase transition in two dimensions. New results are obtained for a low temperature phase-only…

Superconductivity · Physics 2007-05-23 Subir Sachdev , Oleg A. Starykh

The effect of particle-hole fluctuations for the BCS-BEC crossover is investigated by use of functional renormalization. We compute the critical temperature for the whole range in the scattering length $a$. On the BCS side for small…

Superconductivity · Physics 2009-01-23 S. Floerchinger , M. Scherer , S. Diehl , C. Wetterich

We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated…

Disordered Systems and Neural Networks · Physics 2016-07-06 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We study the effect of inhomogeneity of the paring interaction or the background potential on the superconducting transition temperature, T_c. In the weak coupling BCS regime, we find that inhomogeneity which is incommensurate with the…

Superconductivity · Physics 2009-11-11 Ivar Martin , Daniel Podolsky , Steven A. Kivelson

At zero temperature, two-dimensional Ising spin glasses are known to fall into several universality classes. Here we consider the scaling at low but non-zero temperature and provide numerical evidence that $\eta \approx 0$ and $\nu \approx…

Disordered Systems and Neural Networks · Physics 2011-11-09 T. Jorg , J. Lukic , E. Marinari , O. C. Martin

The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are…

Quantum Gases · Physics 2023-08-10 M. I. Morales-Amador , V. Romero-Rochin , R. Paredes

We solve the Leggett equations for the BCS - BEC crossover in the three dimension resonance p-wave superfluid with the symmetry of the A1 - phase. We calculate the sound velocity, the normal density, and the specific heat for the BCS-domain…

Quantum Gases · Physics 2011-05-24 M. Yu. Kagan , D. V. Efremov

We investigate the BCS critical temperature $T_c$ in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential $V$ on the Fermi-surface. Our results include a rigorous…

Mathematical Physics · Physics 2023-12-21 Joscha Henheik

We present scanning tunneling microscopy measurements of the surface of superconducting MgB2 with a critical temperature of 39K. In zero magnetic field the conductance spectra can be analyzed in terms of the standard BCS theory with a…

Superconductivity · Physics 2009-11-07 G. Karapetrov , M. Iavarone , W. K. Kwok , G. W. Crabtree , D. G. Hinks

We describe strongly attractive carriers in cuprates in the framework of a simple quasi-one dimensional Hamiltonian with a local attraction. In contrast with the conventional BCS theory there are two energy scales, a temperature independent…

Superconductivity · Physics 2009-10-31 A. S. Alexandrov , A. F. Andreev

The zero-temperature equation of state is analyzed in low-dimensional bosonic systems. In the dilute regime the equation of state is universal in terms of the gas parameter, i.e. it is the same for different potentials with the same value…

Quantum Gases · Physics 2015-05-13 G. E. Astrakharchik , J. Boronat , I. L. Kurbakov , Yu. E. Lozovik , F. Mazzanti

An effective field theory is derived for the normal metal-to-superconductor quantum phase transition at T=0. The critical behavior is determined exactly for all dimensions d>2. Although the critical exponents \beta and \nu do not exist, the…

Superconductivity · Physics 2009-10-30 T. R. Kirkpatrick , D. Belitz

The amplification of the superconducting critical temperature Tc from the low temperature range in homogeneous 2D planes (Tc<23 K) to the high temperature range (23 K<Tc<150 K) in an artificial heterostructure of quantum stripes is…

Superconductivity · Physics 2011-07-19 Andrea Perali , Antonio Bianconi , Alessandra Lanzara , Naurang L. Saini

The superconducting transition temperature $T_c$ of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-law) Van Hove singularities using determinant quantum Monte…

Strongly Correlated Electrons · Physics 2026-04-16 Gustav Romare , Daniel Shaffer , Alex Levchenko , Edwin Huang , Ilya Esterlis

All high-temperature phases of the known N=4 superstrings in five dimensions can be described by the universal thermal potential of an effective four-dimensional supergravity. This theory, in addition to three moduli s, t, u, contains…

High Energy Physics - Theory · Physics 2008-11-26 I. Bakas , A. Bilal , J. -P. Derendinger , K. Sfetsos