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We present an infinite-dimensional lattice of two-by-two plaquettes, the quadruple Bethe lattice, with Hubbard interaction and solve it exactly by means of the cluster dynamical mean-field theory. It exhibits a $d$-wave superconducting…

Strongly Correlated Electrons · Physics 2020-01-22 Malte Harland , Sergey Brener , Mikhail I. Katsnelson , Alexander I. Lichtenstein

Although the pairing mechanism of the Fe-based superconductors (FeSCs) has not yet been settled with a consensus, as to the pairing symmetry and the superconducting (SC) gap function, the abundant majority of experiments are supporting for…

Superconductivity · Physics 2017-03-08 Yunkyu Bang , G. R. Stewart

We study two aspects of the superconductivity in a cuprate model system, its doping dependence and the influence of competing pairing mediators. We first include electron-phonon interactions beyond Migdal's approximation and solve…

Superconductivity · Physics 2024-07-12 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

We study three different multi-orbital models for iron-based superconductors (iron-SCs) in the solvable limit of weakly coupled square plaquettes. The strongest superconducting (SC) pairing is in the $A_{1g}$ $s$-wave channel and its…

Superconductivity · Physics 2012-04-05 Xiaoli Lu , Chen Fang , Wei-Feng Tsai , Yongjin Jiang , Jiangping Hu

We derive the expressions for the transition temperature $(T_{c})$, and the spatial dependence of the superconducting gap for a multilayer high-$T_{c}$ superconductor composed of groups of tightly spaced planes separated by a larger…

Condensed Matter · Physics 2009-10-28 Krzysztof Byczuk , Jozef Spalek

Cuprate high-Tc superconductors are known to have several relationships between Tc and features of electronic structure. In the firstly found one, Tc is correlated with the Madelung potential difference between planar Cu and O sites.…

Superconductivity · Physics 2015-06-18 Kunihiko Yamaji , Takashi Yanagisawa

For unconventional heavy Fermion superconductors, typified by UBe_13, the superconducting transition temperatures Tc are shown to correlate with a characteristic energy hbar^2 /(m* xi^2), m* being the effective mass and xi the coherence…

Superconductivity · Physics 2007-05-23 G. G. N. Angilella , N. H. March , R. Pucci

We use a variational approach to gain insight into the strongly correlated d-wave superconducting state of the high Tc cuprates at T=0. We show that strong correlations lead to qualitatively different trends in pairing and phase coherence:…

Superconductivity · Physics 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

Using the structural data of the La2CuO4 compound both in the low temperature tetragonal phase and in the isotropic phase we have derived an effective t-J model with hoppings t and superexchange interactions J extended up to fourth and…

Superconductivity · Physics 2009-11-07 V. I. Anisimov , M. A. Korotin , I. A. Nekrasov , Z. V. Pchelkina , S. Sorella

Because the normal state of underdoped cuprate superconductors is an enigmatic Fermi-arc metal, it is valuable to analyze an exactly solvable model that exhibits both Fermi arcs and $d$-wave superconductivity. Here, we focus on a recently…

Superconductivity · Physics 2026-04-03 Xianliang Zhou , Fei Yang , Miao Liu , Yin Shi , Sheng Meng

Spatial dependencies of the pair potential and the local density of states near the surfaces of $d_{x^{2}-y^{2}}$-wave superconductors are studied theoretically. The calculation is based on the t-J model within a mean-field theory with…

Superconductivity · Physics 2009-10-31 Y. Tanuma , Y. Tanaka , M. Ogata , S. Kashiwaya

The influence of repulsion and attraction in high-Tc superconductors to the gap functions is studied. A systematic method is proposed to compute the gap functions using the irreducible representations of the point group. It is found that a…

Superconductivity · Physics 2014-08-20 W. LiMing , Haibo Chen , Liangbin Hu

High-$T_{\rm C}$ superconductors show anomalous transport properties in their normal states, such as the bad-metal and pseudogap behaviors. To discuss their origins, it is important to speculate whether these behaviors are…

Strongly Correlated Electrons · Physics 2019-09-20 Yoshitaka Kawasugi , Kazuhiro Seki , Jiang Pu , Taishi Takenobu , Seiji Yunoki , Hiroshi M. Yamamoto , Reizo Kato

The recent observation of superconductivity at relatively high temperatures in hole doped NdNiO$_2$ has generated considerable interest, particularly due to its similarity with the infinite layer cuprates. Building on the observation that…

Strongly Correlated Electrons · Physics 2020-05-06 Ya-Hui Zhang , Ashvin Vishwanath

Unconventional superconductors have been long sought for their potential applications in quantum technologies and devices. A key challenge impeding this effort is the difficulty associated with probing and characterizing candidate materials…

Superconductivity · Physics 2022-08-23 Jonathan B. Curtis , Nicholas R. Poniatowski , Amir Yacoby , Prineha Narang

For the newly discovered ironbased superconductors we propose a one band model for conduction band with first and secondnearestneighbor electron hoppings with two types of d wave and three types of s wave pairing symmetries for the…

Superconductivity · Physics 2021-01-22 Sushree Sangita Jena , G. C. Rout , S. K. Agarwalla

Many strongly correlated systems exhibit strange metallic behavior in certain parameter regimes characterized by anomalous transport properties that are irreconcilable with a Fermi-liquid-like description in terms of quasiparticles. The…

Strongly Correlated Electrons · Physics 2024-10-29 Andrew A. Allocca

Recently room temperature superconductor was claimed in Pb$_{10-x}$Cu$_x$(PO$_4$)$_6$O (also known as LK-99) with $x\in (0.9,1.1)$. Density functional theory (DFT) calculations suggest that the conduction electrons are from the doped Cu…

Superconductivity · Physics 2023-08-07 Hanbit Oh , Ya-Hui Zhang

We evaluate numerically several superconducting correlation functions in a generalized $t-J$ model derived for hole-doped CuO$_2$ planes. The model includes a three-site term $t''$ similar to that obtained in the large $U$ limit of the…

Condensed Matter · Physics 2007-05-23 C. D. Batista , A. A. Aligia

We have studied the enhancement of the superconducting transition temperature, Tc, in a t-J-U model of electrons moving on a square lattice in which anisotropic electronic hopping is introduced. The inclusion of such hopping mimics, in a…

Superconductivity · Physics 2007-05-23 Saurabh Basu , A. Callan-Jones , R. J. Gooding
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