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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

The symmetry of the superconducting order parameter, or simply the ``gap'', provides certain constraints on the actual mechanism that gives rise to pairing and ultimately to superconductivity. In this work we show how superconducting phases…

Superconductivity · Physics 2025-05-14 Pramodh Senarath Yapa , Xinyu Guo , Joseph Maciejko , Frank Marsiglio

A theory is presented for the statistics of the excitation spectrum of a disordered metal grain in contact with a superconductor. A magnetic field is applied to fully break time-reversal symmetry in the grain. Still, an excitation gap of…

Condensed Matter · Physics 2007-05-23 K. M. Frahm , P. W. Brouwer , J. A. Melsen , C. W. J. Beenakker

The interference between spin-density-wave and superconducting instabilities in quasi-one-dimensional correlated metals is analyzed using the renormalization group method. At the one-loop level, we show how the interference leads to a…

Strongly Correlated Electrons · Physics 2009-11-07 Raphael Duprat , C. Bourbonnais

A grain boundary which separates domains with different orientation along the c-axis is analyzed. The coupling of two parallel superconducting planes whose order parameters are rotated leads to interesting properties which are expected to…

Superconductivity · Physics 2007-05-23 M. J. Calderon , E. Bascones

We develop a theory of superconductivity in ultrasmall (nm-scale) metallic grains having a discrete electronic eigenspectrum with a mean level spacing of order of the bulk gap. The theory is based on calculating the eigenspectrum using a…

Superconductivity · Physics 2009-10-31 Fabian Braun , Jan von Delft

We examine the destruction of superconducting pairing in metallic grains as their size is decreased for both even and odd numbers of electrons. This occurs when the average level spacing d is of the same order as the BCS order parameter.…

Condensed Matter · Physics 2009-10-28 Robert A. Smith , Vinay Ambegaokar

A quantum pseudo-spin model with random spin sizes is introduced to study the effects of charging-energy disorder on the superconducting transition in granular superconducting materials. Charging-energy effects result from the small…

Superconductivity · Physics 2009-09-23 Enzo Granato , Giancarlo Jug

We review the effects of electron-electron interactions on the ground-state spin and the transport properties of ultra-small chaotic metallic grains. Our studies are based on an effective Hamiltonian that combines a superconducting BCS-like…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Schmidt , Y. Alhassid

We study the superconductivity in small grains in the regime when the quantum level spacing $\delta\varepsilon$ is comparable to the gap $\Delta$. As $\delta\varepsilon$ is increased, the system crosses over from superconducting to normal…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 K. A. Matveev , A. I. Larkin

Recently, superconductivity was discovered at very low densities in slightly misaligned graphene multilayers. Surprisingly, despite extremely low electronic density (about $10^{-4}$ electrons per unit cell), these systems realize…

Strongly Correlated Electrons · Physics 2020-04-01 Ivar Martin

This article gives a contemporary and to some extent pedagogical review of the current theoretical understanding of the formation of the superconducting state in metallic systems with a variable density of carriers. We make an attempt to…

Superconductivity · Physics 2008-02-03 V. M. Loktev , S. G. Sharapov

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

General Physics · Physics 2014-12-19 Boris Bondarev

In this paper, we discuss the c axis optical conductivity Re [sigma_c(omega)] in the high T_c superconductors, in the superconducting state. The basic premise of this work is that electrons travelling along the c axis between adjacent CuO_2…

Superconductivity · Physics 2009-10-30 W. A. Atkinson , J. P. Carbotte

Different types of superfluid ground states have been investigated in systems of two species of fermions with Fermi surfaces that do not match. This study is relevant for cold atomic systems, condensed matter physics and quark matter. In…

Superconductivity · Physics 2016-09-21 Mucio A. Continentino , Igor T. Padilha

Qualitative features of the mean-field theory of superconductivity in a strongly disordered systems of fermions with short-range attraction are discussed. In this limit the effective theory is entirely bosonic, and I consider both the…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

We investigate the competition between pairing correlations and ferromagnetism in small metallic grains in the presence of a Zeeman field. Our analysis is based on the universal Hamiltonian, valid in the limit of large Thouless conductance.…

Superconductivity · Physics 2015-05-13 S. Schmidt , Y. Alhassid , K. Van Houcke

Using an exact expression for the domain wall tension in a supersymmetric model we show that a spectrum crossover takes place in passing from weak to strong coupling. In the weak coupling regime elementary excitations are the lightest…

High Energy Physics - Theory · Physics 2013-05-30 M. Shifman , M. Voloshin

Motivated by the discovery of the anomalous metal state in thin film systems and suggestions that coexistence of superconducting and metallic components is crucial to the formation of the state, we study in this paper a model of mixed…

Superconductivity · Physics 2023-06-07 Tai Kai Ng

Based on the mean-field method applied either to the extended single-band Hubbard model or to the single-band Peierls-Hubbard Hamiltonian we study the stability of both site-centered and bond-centered charge domain walls. The difference in…

Strongly Correlated Electrons · Physics 2007-05-23 Marcin Raczkowski , Andrzej M. Oles , Raymond Fresard
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