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Effects of inhomogeneous doping on the high-$T_c$ cuprate superconductors are studied within the framework of the t-J model. Especially, the boundary between two non-superconducting regions with doping rates much higher and lower than the…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hayashi , H. Ebisawa

Superconductivity in the cuprates exhibits many unusual features. We study the two-dimensional Hubbard model with plaquette dynamical mean-field theory to address these unusual features and relate them to other normal-state phenomena, such…

Strongly Correlated Electrons · Physics 2016-03-15 L. Fratino , P. Sémon , G. Sordi , A. -M. S. Tremblay

A major pathway towards understanding complex systems is given by exactly solvable reference systems that contain the essential physics of the system. For the $t-t'-U$ Hubbard model, the four-site plaquette is known to have a quantum…

Strongly Correlated Electrons · Physics 2022-05-06 M. Danilov , E. G. C. P. van Loon , S. Brener , S. Iskakov , M. I. Katsnelson , A. I. Lichtenstein

Based on experimental results and our previous theoretical work, a microscopic theory of high temperature superconductivity is conjectured. In this conjecture, superconducting and antiferromagnetic long-range orders are driven by interlayer…

Strongly Correlated Electrons · Physics 2007-05-23 Bumsoo Kyung

The two-dimensional Hubbard model exhibits superconductivity with d-wave symmetry even at half-filling in the presence of next-nearest neighbor hopping. Using plaquette cluster dynamical mean-field theory with a continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-09-27 Michael Sentef , Philipp Werner , Emanuel Gull , Arno P. Kampf

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

Based on calculations using the local density approximation, we propose quantum wire networks with square and plaquette type lattice structures that form quantum dot superlattices. These artificial structures are well described by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Takashi Kimura , Hiroyuki Tamura , Kazuhiko Kuroki , Kenji Shiraishi , Hideaki Takayanagi , Ryotaro Arita

We compute the two-particle quantities relevant for superconducting correlations in the two-dimensional Hubbard model within the dynamical cluster approximation. In the normal state we identify the parameter regime in density, interaction,…

Superconductivity · Physics 2015-09-15 Xi Chen , J. P. F. LeBlanc , Emanuel Gull

The possibility is indicated of applying the theory of superconductors with overlapping energy bands to describe the thermodynamic and electromagnetic properties of the high-temperature compounds $La_{2-x}(Ba,Sr)_xCuO_4$ and…

Superconductivity · Physics 2007-05-23 V. A. Moskalenko , M. E. Palistrant , V. M. Vakalyuk

We investigate superconductivity emerging in the photodoped Mott insulating Hubbard model using steady-state dynamical mean-field theory implemented on the real-frequency axis. By employing high-order strong-coupling impurity solvers, we…

Strongly Correlated Electrons · Physics 2026-02-20 Lei Geng , Aaram J. Kim , Philipp Werner

We explore the superconducting properties of the bilayer Hubbard model, which exhibits a high transition temperature ($T_{\rm c}$) for an $s_{\pm}$ pairing, using a cluster extension of the dynamical mean-field theory. Unlike the…

Superconductivity · Physics 2025-07-22 Yusuke Nomura , Motoharu Kitatani , Shiro Sakai , Ryotaro Arita

The energetics of the interplay between superconductivity and the pseudogap in high temperature superconductivity is examined using the eight-site dynamical cluster approximation to the two dimensional Hubbard model. Two regimes of…

Strongly Correlated Electrons · Physics 2012-12-21 Emanuel Gull , Andrew J. Millis

Motivated by cuprate and nickelate superconductors, we perform a comprehensive study of the superconducting instability in the single-band Hubbard model. We calculate the spectrum and superconducting transition temperature $T_{\rm c}$ as a…

Superconductivity · Physics 2023-06-13 Motoharu Kitatani , Liang Si , Paul Worm , Jan M. Tomczak , Ryotaro Arita , Karsten Held

The emergence of high transition temperature (Tc) superconductivity in strongly correlated materials remains a major unsolved problem in physics. High-Tc materials, such as cuprates, are generally complex and not easily tunable, making…

Quasiparticle bands of the two-dimensional Hubbard model are calculated using the Roth two-pole approximation to the one particle Green's function. Excellent agreement is obtained with recent Monte Carlo calculations, including an anomalous…

Condensed Matter · Physics 2016-08-31 J. Beenen , D. M. Edwards

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

Superconductivity is usually assumed to arise from attractive interaction. In this work we show that strong pairing is possible soley from kinetic energy even without a net attraction. We demonstrate a high-temperature kinetic…

Strongly Correlated Electrons · Physics 2025-05-02 Hanbit Oh , Hui Yang , Ya-Hui Zhang

Resonating valence bond (RVB) theory of high Tc superconductivity, an electron correlation based mechanism, began as an insightful response by Anderson, to Bednorz and Muller's discovery of high Tc superconductivity in cuprates in late…

Superconductivity · Physics 2017-09-29 G. Baskaran

We investigate the entanglement properties of resonating valence bond states on a two dimensional lattice in the presence of dopants that remove electrons from the lattice creating "holes". The movement of the holes generated by the Hubbard…

Quantum Physics · Physics 2009-11-13 Ravishankar Ramanathan , Dagomir Kaszlikowski , Marcin Wiesniak , Vlatko Vedral

Recently developed numerical methods have enabled the explicit construction of the superconducting state of the Hubbard model of strongly correlated electrons in parameter regimes where the model also exhibits a pseudogap and a Mott…

Strongly Correlated Electrons · Physics 2015-03-20 Emanuel Gull , Olivier Parcollet , Andrew J. Millis
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