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In superconductors with large values of the Ginzburg-Landau parameter, exposed to magnetic fields close to the upper critical field, the magnetic field is practically homogeneous across the sample and the density of supercurrents is…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

We propose a modified BCS wavefunction as the ground state of a correlated superconductor with the correlation specified between $k$ and $-k$ electrons in the reciprocal space. Owing to this correlation, low-energy excitations are not…

Superconductivity · Physics 2023-09-07 Pengfei Li , Kun Jiang , Jiangping Hu

We present a class of exact ground states of a three-dimensional periodic Anderson model at 3/4 filling. Hopping and hybridization of d and f electrons extend over the unit cell of a general Bravais lattice. Employing novel composite…

Strongly Correlated Electrons · Physics 2007-05-23 Zsolt Gulacsi , Dieter Vollhardt

We extend the standard effective model of d-wave superconductivity of a single band tight-binding Hamiltonian with nearest-neighbor attraction to include finite range periodically modulated pair-hopping. The pair-hopping is characterized by…

Strongly Correlated Electrons · Physics 2017-12-12 Jonatan Wårdh , Mats Granath

We show that the exact ground state for a class of extended Hubbard models including bond-charge, exchange, and pair-hopping terms, is the Yang "eta-paired" state for any non-vanishing value of the pair-hopping amplitude, at least when the…

Condensed Matter · Physics 2009-10-28 Arianna Montorsi , David K. Campbell

Electron pairing is central to modern concepts of superconductivity, and provides a basis for the ubiquitous presence of h/2e in the theory and phenomenology. However, the lack of a consistent real-space picture of phonon-mediated pairing…

Superconductivity · Physics 2009-09-17 Alan M. Kadin

On the basis of Eilenberger theory, surface bound states and spontaneous current are studied in cyclic d-wave superconductors as a broken time-reversal symmetry of superconductivity in cubic lattice symmetry. We discuss how the spontaneous…

Superconductivity · Physics 2013-04-30 Masaki Ishikawa , Yasumasa Tsutsumi , Masanori Ichioka , Kazushige Machida

A robust theory of the mechanism of pair density wave (PDW) superconductivity (i.e. where Cooper pairs have nonzero center of mass momentum) remains elusive. Here we explore the triangular lattice $t$-$J$-$V$ model, a low-energy effective…

Strongly Correlated Electrons · Physics 2025-10-28 Jiucai Wang , Wen Sun , Hao-Xin Wang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

A Ginzburg-Landau theory is developed for unconventional superconductors with the three relevant singlet pairing channels. Various consequences of the sub-dominant channels (i.e., s- and d_{xy}-channels) are examined in detail. (1) In the…

Superconductivity · Physics 2009-10-31 Qiang-Hua Wang , Z. D. Wang , Q. Li

YBa$_2$Cu$_3$O$_7$ (YBCO) exhibits a large anisotropy between the $a$ and $b$ axes in the CuO$_2$ planes because of the presence of CuO chains. In order to account for such an anisotropy we develop a Ginzburg-Landau (GL) theory for an…

Condensed Matter · Physics 2007-05-23 Ji-Hai Xu , Yong Ren , C. S. Ting

We consider the three-dimensional spin-orbit-coupled Luttinger semimetal of "spin" $3/2$ particles in presence of weak attractive interaction in the $l=1$ (p-wave) channel, and determine the low-temperature phase diagram for both particle-…

Superconductivity · Physics 2022-05-02 Julia M. Link , Igor F. Herbut

Many-body variational ground-state wave function of two-dimensional electron system (2DES), localized in the main strip (MS)$L_{x}^{\square} \times L_{y}$ of the finite width $L_{x}^{\square}=\sqrt{2 \pi m} \ell_{0}$ (and the periodic…

Mesoscale and Nanoscale Physics · Physics 2007-12-10 O. G. Balev

We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that…

Mathematical Physics · Physics 2011-10-20 S. Fournais , A. Kachmar , M. Persson

A detailed zero-field and transverse-field muon spin relaxation/rotation ($\mu$SR) experiemnts have been carried out on the recently discovered non-centrosymmetric superconductor W$_3$Al$_2$C to speculate about its superconducting ground…

Superconductivity · Physics 2021-05-26 R. Gupta , T. P. Ying , Y. P. Qi , H. Hosono , R. Khasanov

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

The ground-state wave function and the energy gap are calculated for various layer separations d and for up to 24 electrons by the density matrix renormalization group (DMRG) method. Two-particle distribution function and excitonic…

Strongly Correlated Electrons · Physics 2009-11-11 Naokazu Shibata , Daijiro Yoshioka

We compare different scenarios for the low temperature splitting of the zero-energy peak in the local density of states at (110) surfaces of d_{x^2-y^2}-wave superconductors, observed by Covington et al. (Phys.Rev.Lett.79 (1997), 277).…

Superconductivity · Physics 2009-10-31 Carsten Honerkamp , Katsunori Wakabayashi , Manfred Sigrist

A model of two Calogero-Sutherland Bose gases A and B with strong odd-wave AB attractions induced by a p-wave AB Feshbach resonance is studied. The ground state wave function is found analytically by a Bose-Bose duality mapping, which…

Quantum Gases · Physics 2013-05-29 M. D. Girardeau , G. E. Astrakharchik

The Letter considers the ground state and the Tkachenko modes for a rapidly rotating Bose-Einstein condensate (BEC), when its macroscopic wave function is a coherent superposition of states analogous to the lowest Landau levels of a charge…

Other Condensed Matter · Physics 2009-11-10 E. B. Sonin

Working in a subspace with dimensionality much smaller than the dimension of the full Hilbert space, we deduce exact 4-particle ground states in 2D samples containing hexagonal repeat units and described by Hubbard type of models. The…

Strongly Correlated Electrons · Physics 2014-06-26 Reka Trencsenyi , Konstantin Glukhov , Zsolt Gulacsi