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The two-flavor color superconductivity is examined over a wide range of baryon density with a single model. To study the structural change of Cooper pairs, quark correlation in the color superconductor is calculated both in the momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Abuki , T. Hatsuda , K. Itakura

The novel idea of weak Galerkin (WG) finite element methods is on the use of weak functions and their weak derivatives defined as distributions. Weak functions and weak derivatives can be approximated by polynomials with various degrees.…

Numerical Analysis · Mathematics 2013-04-25 Lin Mu , Junping Wang , Xiu Ye

It is shown that the two-gap approximation is applicable for describing the $dV/dI(V)$ spectra of LuNi$_{2}$B$_{2}$C-Ag point contacts in a wide interval of temperatures. The values and the temperature dependences of the large and the small…

We study a general convergence theory for the numerical solutions of compressible viscous and electrically conducting fluids with a focus on numerical schemes that preserve the divergence free property of magnetic field exactly. Our…

Numerical Analysis · Mathematics 2021-07-06 Yang Li , Bangwei She

We present the exact solution of a model of interacting fermions in any dimension with a pure repulsive interaction projecting out a given Cooper channel. The solution rests upon the infinite ranged character of the interaction in real…

Superconductivity · Physics 2009-10-31 H. R. Krishnamurthy , B. Sriram Shastry , IISc , Bangalore

We reconsider the fermion spectral function in the presence of the Cooper pair condensation and identified the interaction type of complex scalar and fermion, which gives consistent results with the expected s-wave superconductor for the…

High Energy Physics - Theory · Physics 2023-03-22 Taewon Yuk , Sang-Jin Sin

In dense quark matter, the response of the color superconducting gaps to a small variation, $\delta\mu$, in the chemical potential of the strange quark was studied. The approximation of three massless flavors of quarks and a general ansatz…

High Energy Physics - Phenomenology · Physics 2007-05-23 Todd D. Fugleberg

We study superconductivity in isolated superconducting nano-cubes and nano-squares of size $L$ in the limit of negligible disorder, $\delta/\Delta_0 \ll 1$ and $k_F L \gg 1$ for which mean-field theory and semiclassical techniques are…

Superconductivity · Physics 2014-07-23 James Mayoh , Antonio M. García-García

Strong convergence rates for (temporal, spatial, and noise) numerical approximations of semilinear stochastic evolution equations (SEEs) with smooth and regular nonlinearities are well understood in the scientific literature. Weak…

Probability · Mathematics 2021-11-02 Daniel Conus , Arnulf Jentzen , Ryan Kurniawan

A theory of strongly correlated electron or hole liquids with the fermion condensate is presented and applied to the consideration of quasiparticle excitations in high temperature superconductors, in their superconducting and normal states.…

Strongly Correlated Electrons · Physics 2007-05-23 V. R. Shaginyan

The superconducting gap is the fundamental parameter that characterizes the superconducting state, and its symmetry is a direct consequence of the mechanism responsible for Cooper pairing. Here we discuss about angle-resolved photoemission…

Superconductivity · Physics 2013-02-22 Y. -B. Huang , P. Richard , X. -P. Wang , T. Qian , H. Ding

Tunneling measurements of the temperature dependence of the electronic density of states (DOS) of ultrathin bilayers of Pb and Ag reveal that their superconducting energy gap, $\Delta (T)$, evolves similarly to BCS predictions despite the…

Superconductivity · Physics 2009-11-11 Zhenyi Long , M. D. Stewart , James M. Valles

Using non-equilibrium renormalized perturbation theory, we calculate the retarded and lesser self energies, the spectral density rho(omega) near the Fermi energy, and the conductance G through a quantum dot as a function of a small bias…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 A. A. Aligia

We discuss the interplay between two first-principles calculations of QCD at high density: perturbative results in the weak-coupling regime and the recent lattice-QCD result at finite isospin density. By comparing these two results, we…

High Energy Physics - Phenomenology · Physics 2024-09-09 Yuki Fujimoto

In the search for mechanisms of high-temperature superconductivity it is critical to know the electronic spectrum in the pseudogap phase from which superconductivity evolves. The lack of angle-resolved photoemission data for every cuprate…

Superconductivity · Physics 2015-03-05 Lev P. Gor'kov , Gregory B. Teitel'baum

We present a nonequilibrium strong-coupling approach to inhomogeneous systems of ultracold atoms in optical lattices. We demonstrate its application to the Mott-insulating phase of a two-dimensional Fermi-Hubbard model in the presence of a…

Strongly Correlated Electrons · Physics 2014-02-25 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

The generalized weak Galerkin (gWG) finite element method is proposed and analyzed for the biharmonic equation. A new generalized discrete weak second order partial derivative is introduced in the gWG scheme to allow arbitrary combinations…

Numerical Analysis · Mathematics 2023-02-14 Dan Li , Chunmei Wang , Junping Wang

QCD superconductors in the color-flavor-locked (CFL) phase sustain excitations (``Cooper'' mesons) that can be described as pairs of particles or holes around a gapped Fermi surface. In weak coupling and to leading logarithm accuracy the…

Nuclear Theory · Physics 2017-08-23 Andreas Wirzba

We calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we…

High Energy Physics - Lattice · Physics 2019-08-13 E. Shintani , S. Aoki , T. W. Chiu , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We formulate and solve the Eliashberg equations on the imaginary frequency axis at temperatures below $T_c$ in the weak-coupling limit. We find an excellent scaling at all temperatures, for a given coupling strength, and the normalized…

Superconductivity · Physics 2020-02-12 Sepideh Mirabi , Rufus Boyack , F. Marsiglio
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