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We investigate the breakdown of BCS superconductivity in {\em ultra}\/small metallic grains as a function of particle size (characterized by the mean spacing $d$ between discrete electronic eigenstates), and the parity ($P$ = even/odd) of…

Condensed Matter · Physics 2009-10-28 Jan von Delft , Dmitrii S. Golubev , Wolfgang Tichy , Andrei D. Zaikin

Generalized BCS equations which consistently include the projection on the particle-number parity are derived from a systematic variational method. Numerical solutions are given that are illustrative of ultra-small metallic grains. Compared…

Superconductivity · Physics 2007-05-23 R. Balian , H. Flocard , M. Veneroni

For assemblies of superconductor nanograins, the magnetic response is analyzed as a function of both temperature and magnetic field. In order to describe the interaction energy of electron pairs for a huge number of many-particle states,…

Superconductivity · Physics 2009-11-10 V. N. Gladilin , V. M. Fomin , J. T. Devreese

The low-temperature behavior of the static magnetic susceptibility $\chi(T)$ of exchange-disordered antiferromagnetic spin chains is investigated. It is shown that for a relatively small and even number of spins in the chain, two exchange…

Small superconducting grains are discussed in the frameworks of both the reduced BCS Hamiltonian and the Universal Hamiltonian. It is shown that fluctuations of electrons in levels far from the Fermi energy dominate superconducting…

Mesoscale and Nanoscale Physics · Physics 2008-06-12 Moshe Schechter

We report temperature and density dependences of the spin susceptibility of strongly interacting electrons in Si inversion layers. We measured (i) the itinerant electron susceptibility $\chi^*$ from the Shubnikov-de Haas oscillations in…

Strongly Correlated Electrons · Physics 2018-10-09 V. M. Pudalov , A. Yu. Kuntsevich , M. E. Gershenson , I. S. Burmistrov , M. Reznikov

The issue of the spin gap in the magnetic susceptibility $\chi''(q,\omega)$ in high T_c superconductors is discussed within a scenario of a mixture of localized tightly bound electron pairs in singlet states (bi-polarons) and itinerant…

Strongly Correlated Electrons · Physics 2009-10-28 J. Ranninger , J. M. Robin

We study finite size effects in superconducting metallic grains and determine the BCS order parameter and the low energy excitation spectrum in terms of size, and shape of the grain. Our approach combines the BCS self-consistency condition,…

We investigate the uniform spin susceptibility $\chi_{\rm s}$ in the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover regime of an ultracold Fermi gas. Including pairing fluctuations within the framework of an…

Quantum Gases · Physics 2015-10-16 H. Tajima , T. Kashimura , R. Hanai , R. Watanabe , Y. Ohashi

We theoretically investigate magnetic properties of a trapped ultracold Fermi gas. Including pairing fluctuations within the framework of an extended $T$-matrix approximation (ETMA), as well as effects of a harmonic trap in the local…

Quantum Gases · Physics 2017-10-11 Hiroyuki Tajima , Ryo Hanai , Yoji Ohashi

We investigate magnetic properties and strong coupling corrections in the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover regime of an ultracold Fermi gas. Within the framework of an extended $T$-matrix theory, we…

Quantum Gases · Physics 2015-10-16 Hiroyuki Tajima , Ryo Hanai , Ryota Watanabe , Yoji Ohashi

We study the Kondo effect in an ultrasmall metallic grain, i.e. small enough to have a discrete energy-level spectrum, by calculating the susceptibility chi of the magnetic impurity. Our quantum Monte Carlo simulations, and analytic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Giancarlo Franzese , Roberto Raimondi , Rosario Fazio

The spin susceptibility of noncentrosymmetric superconductors is studied when the gap function has line nodes. As examples, d-wave states, where the gap function has an additional odd-parity phase factor, are examined. The curve of the spin…

Superconductivity · Physics 2014-06-12 Hiroshi Shimahara

We review recent experimental and theoretical work on superconductivity in ultrasmall metallic grains, i.e. grains sufficiently small that the conduction electron energy spectrum becomes discrete. The discrete excitation spectrum of an…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Jan von Delft

We report magnetic susceptibility performed on overdoped Bi2Sr2CuO6+d powders as a function of oxygen doping d and temperature T. The decrease of the spin susceptibility chis with increasing T is confirmed. At sufficient high temperature,…

Superconductivity · Physics 2007-05-23 G. Le Bras-Jasmin , Z. Konstantinovic , J. P. Carton , D. Colson , A. Forget , F. Jean , G. Collin , Y. Dumont , C. Ayache

We theoretically investigate the uniform spin susceptibility $\chi$ in the superfluid phase of an ultracold Fermi gas in the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover region. In our previous paper [H.…

Quantum Gases · Physics 2016-01-20 H. Tajima , R. Hanai , Y. Ohashi

We study the thermodynamics of a small, isolated superconducting grain using a recently developed quantum Monte Carlo method. This method allows us to simulate grains at any finite temperature and with any level spacing in an exact way. We…

Superconductivity · Physics 2009-11-11 K. Van Houcke , S. M. A. Rombouts , L. Pollet

We study pairing correlations in ultrasmall superconductor in the nanoscopic limit by means of a toy model where electrons are confined in a single, multiply degenerate energy level. We solve the model exactly to investigate the temperature…

Superconductivity · Physics 2009-11-07 O. Bozat , Z. Gedik

The recently measured spin susceptibility of the two dimensional electron gas exhibits a strong dependence on temperature, which is incompatible with the standard Fermi liquid phenomenology. Here we show that the observed temperature…

Strongly Correlated Electrons · Physics 2017-05-16 Arkady Shekhter , Alexander M. Finkel'stein

Inelastic neutron scattering measurements have been performed on single crystals of the heavy fermion compound Ce$_{0.925}$La$_{0.075}$Ru$_{2}$Si$_{2}$ in broad energy [0.1, 9.5 meV] and temperature [40 mK, 294 K] ranges in order to address…

Strongly Correlated Electrons · Physics 2007-05-23 W. Knafo , S. Raymond , J. Flouquet , B. Fåk , M. A. Adams , P. Haen , F. Lapierre , S. Yates , P. Lejay
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