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We solve the gap equation for color-superconducting quark matter in the 2SC phase, including both the energy and the momentum dependence of the gap, \phi=\phi(k_0,\vk). For that purpose a complex Ansatz for \phi is made. The calculations…

Nuclear Theory · Physics 2008-11-26 Philipp T. Reuter

Color superconductivity in cold, dense quark matter is a key feature of the QCD phase diagram, whose present theoretical understanding relies predominantly on weak-coupling calculations. In this work, we revisit the evaluation of the…

High Energy Physics - Phenomenology · Physics 2025-08-28 Yuki Fujimoto

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the…

Superconductivity · Physics 2007-10-30 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

We derive perturbatively the gap equations for a color-superconducting condensate with total spin J=0 in dense QCD. At zero temperature, we confirm the results of Son for the dependence of the condensate on the coupling constant, and…

Nuclear Theory · Physics 2009-10-31 R. D. Pisarski , D. H. Rischke

We consider color superconductivity with two flavors of massless quarks which form Cooper pairs with total spin zero. We solve the gap equation for the color-superconducting gap parameter to subleading order in the QCD coupling constant $g$…

Nuclear Theory · Physics 2009-11-07 Qun Wang , Dirk H. Rischke

We analyze solutions to a superconducting gap equation based on the two-dimensional Hubbard model with nearest and next-to-nearest neighbor hopping. The Cooper pair potential can be calculated exactly and expressed in terms of elliptic…

Superconductivity · Physics 2010-09-10 André LeClair

The ultra-cold and weakly-coupled Fermi gas in two spatial dimensions is studied in an effective field theory framework. It has long been observed that universal corrections to the energy density to two orders in the interaction strength do…

Quantum Gases · Physics 2023-04-26 Silas R. Beane , Gianluca Bertaina , Roland C. Farrell , William R. Marshall

We show conclusively that a pseudogap state can arise at $T > T_c$, for reasonable pairing interaction strength, from order parameter fluctuations in a two dimensional minimal model of $d$-wave superconductivity. The occurrence of the…

Superconductivity · Physics 2022-02-04 Dheeraj Kumar Singh , Samrat Kadge , Yunkyu Bang , Pinaki Majumdar

The gap equation in the $^1S_0$-channel is solved for a nuclear slab with the separable form of the Paris potential. The gap equation is considered in the model space in terms of the effective pairing interaction which is found in the…

Nuclear Theory · Physics 2009-11-11 S. S. Pankratov , M. Baldo , U. Lombardo , E. E. Saperstein , M. V. Zverev

One of the most debated issues related to high-$T_c$ superconductivity is the symmetry of the Cooper pair or the gap function. In this report, we present numerical results regarding the gap function in strongly correlated electron systems…

Condensed Matter · Physics 2016-08-31 Mihir Arjunwadkar , D. G. Kanhere , G. Baskaran , Rahul Basu

We introduce a very simple and exactly solvable model that supports Fermi arcs in its ground state and excitation spectrum. These arcs come in pairs, and merge into what we call a pseudo Fermi surface along which fermions are gapped; this…

Strongly Correlated Electrons · Physics 2021-02-01 Kun Yang

We revisit the issue of superconductivity at the quantum-critical point (QCP) between a 2D paramagnet and a spin-density-wave metal with ordering momentum (\pi,\pi). This problem is highly non-trivial because the system at criticality…

Superconductivity · Physics 2015-06-11 Yuxuan Wang , Andrey V. Chubukov

Demanding a consistent quantum field theory description of spin 1/2 particles near a circular Fermi surface in 2d leads to a unique fermionic theory with relevant quartic interactions which has an emergent Lorentz symmetry and automatically…

Strongly Correlated Electrons · Physics 2009-09-29 Eliot Kapit , André LeClair

The formulation of the non-linear sigma model in terms of flat connection allows the construction of a perturbative solution of a local functional equation encoding the underlying gauge symmetry. In this paper we discuss some properties of…

High Energy Physics - Theory · Physics 2009-11-11 Ruggero Ferrari , Andrea Quadri

We performed optical spectroscopy measurement on a superconducting Ba$_{0.6}$K$_{0.4}$Fe$_2$As$_2$ single crystal with T$_c$=37 K. Formation of the superconducting energy gaps in the far-infared reflectance spectra below T$_c$ is clearly…

Superconductivity · Physics 2008-09-05 G. Li , W. Z. Hu , J. Dong , Z. Li , P. Zheng , G. F. Chen , J. L. Luo , N. L. Wang

We study the quantum corrections to the Fermi energy of a two-dimensional electron system, showing that it is attracted towards the Van Hove singularity for a certain range of doping levels. The scaling of the Fermi level allows to cure the…

Strongly Correlated Electrons · Physics 2009-11-07 J. Gonzalez

We report a systematic study on the electronic structure and superconducting (SC) gaps in electron doped NaFe$_{0.95}$Co$_{0.05}$As superconductor using angle-resolved photoemission spectroscopy. Hole-like Fermi sheets are at the zone…

We derive a general effective action for quark matter at nonzero temperature and/or nonzero density. For this purpose, we distinguish irrelevant from relevant quark modes, as well as hard from soft gluon modes by introducing two separate…

Nuclear Theory · Physics 2014-11-18 Philipp T. Reuter , Qun Wang , Dirk H. Rischke

We have performed high-resolution angle-resolved photoemission spectroscopy on the optimally-doped Ba$_{0.6}$K$_{0.4}$Fe$_2$As$_2$ compound and determined the accurate momentum dependence of the superconducting (SC) gap in four…

Superconductivity · Physics 2009-11-13 K. Nakayama , T. Sato , P. Richard , Y. -M. Xu , Y. Sekiba , S. Souma , G. F. Chen , J. L. Luo , N. L. Wang , H. Ding , T. Takahashi

A new weak Galerkin (WG) finite element method for solving the biharmonic equation in two or three dimensional spaces by using polynomials of reduced order is introduced and analyzed. The WG method is on the use of weak functions and their…

Numerical Analysis · Mathematics 2016-01-27 Ran Zhang , Qilong Zhai
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