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In this review paper, we illustrate a possible route to obtain a reliable solution of the 2D Hubbard model and an explanation for some of the unconventional behaviours of underdoped high-$T_\text{c}$ cuprate superconductors within the…

Strongly Correlated Electrons · Physics 2018-09-28 A. Di Ciolo , A. Avella

We report on results of our analysis of published experimental data of the in-plane infrared response of two representative underdoped high-$T_{\mathrm{c}}$ cuprate superconductors, focusing on a characteristic gap feature in the spectra of…

Superconductivity · Physics 2014-01-17 Břetislav Šopík , Jiří Chaloupka , Dominik Munzar

Understanding the phases of strongly correlated quantum matter is challenging because they arise from the subtle interplay between kinetic energy, interactions, and dimensionality. In this quest it has turned out that even conceptually…

Superconductors are a striking example of a quantum phenomenon in which electrons move coherently over macroscopic distances without scattering. The high-temperature superconducting oxides(cuprates) are the most studied class of…

To address the issues of superconducting and charge properties in high-T$_c$ cuprates, we perform a quantum Monte Carlo study of an extended three-band Emery model, which explicitly includes attractive interaction $V_{OO}$ between oxygen…

Superconductivity · Physics 2021-09-14 Zhong-Bing Huang , Shi-Chao Fang , Hai-Qing Lin

Cuprate superconductors have long been known to exhibit an energy gap that persists high above the superconducting transition temperature ($T_c$). Debate has continued now for decades as to whether it is a precursor superconducting gap or a…

Superconductivity · Physics 2017-07-28 J. G. Storey

A profound problem in modern condensed matter physics is discovering and understanding the nature of the fluctuations and their coupling to fermions in cuprates which lead to high temperature superconductivity and the invariably associated…

Strongly Correlated Electrons · Physics 2016-04-01 Jin Mo Bok , Jong Ju Bae , Han-Yong Choi , Chandra M. Varma , Wentao Zhang , Junfeng He , Yuxiao Zhang , Li Yu , X. J. Zhou

We present a review of the Quantum Monte Carlo results on the magnetic, charge and single-particle excitations as well as the pairing correlations of the two-dimensional Hubbard model. We are particularly interested in how these quantities…

Condensed Matter · Physics 2007-05-23 N. Bulut

Selected universal experimental properties of high temperature superconducting (HTS) cuprates have been singled out in the last decade. One of the pivotal challenges in this field is the designation of a consistent interpretation framework…

Superconductivity · Physics 2017-01-18 Józef Spałek , Michał Zegrodnik , Jan Kaczmarczyk

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

We consider possible high temperature superconductivity (high-T$_c$) in transition metal compounds with a cubic zinc-blende lattice structure. When the electron filling configuration in the d-shell is close to d$^7$, all three t$_{2g}$…

Superconductivity · Physics 2020-04-14 Qiang Zhang , Kun Jiang , Yuhao Gu , Jiangping Hu

A strategy to enhance d-wave superconducting correlations is proposed based on our numerical study for correlated electron models for high-Tc cuprates. We observe that the pairing is enhanced when the single-electron level around (pi,0) is…

Superconductivity · Physics 2009-10-31 Hirokazu Tsunetsugu , Masatoshi Imada

In strongly correlated materials, interacting electrons are entangled and form collective quantum states, resulting in rich low-temperature phase diagrams. Notable examples include cuprate superconductors, in which superconductivity emerges…

The superconductivity precursor phenomena in high temperature cuprate superconductors was studied by direct measurements of superconducting condensate with the use of the $c$-axis optical conductivity of…

Superconductivity · Physics 2015-06-19 Ece Uykur , Kiyohisa Tanaka , Takahiko Masui , Shigeki Miyasaka , Setsuko Tajima

In recent years, the study of ladder materials has developed into a well-established area of research within the general context of Strongly Correlated Electrons. This effort has been triggered by an unusual cross-fertilization between…

Strongly Correlated Electrons · Physics 2009-10-31 Elbio Dagotto

Previously we showed the major effect of electron correlation in the cuprate superconductors is to lower the energy of the Cu d_x^2-y^2/O p_sigma (x^2-y^2) band with respect to the Cu d_z^2/O' p_z (z^2) band. In our 2D Hubbard model for…

Superconductivity · Physics 2009-10-31 Jason K. Perry , Jamil Tahir-Kheli

The origin of high-temperature superconductivity in cuprates is still an unresolved issue. Among the most likely candidates for mediating the Cooper pair condensate are spin fluctuations and the electron-phonon interaction. While the former…

Superconductivity · Physics 2021-10-22 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

We present a microscopic theory for the thermoelectric power (TEP) in high-Tc cuprates. Based on the general expression for the TEP, we perform the calculation of the TEP for a square lattice Hubbard model including all the vertex…

Strongly Correlated Electrons · Physics 2009-11-07 Hiroshi Kontani

High temperature cuprate superconductors consist of stacked CuO2 planes, with primarily two dimensional electronic band structures and magnetic excitations, while superconducting coherence is three dimensional. This dichotomy highlights the…

Beyond the two-dimensional (2D) saddle-point Van Hove singularities (VHSs) with logarithmic divergences in the density of states (DOS), recent studies have identified higher-order VHSs with faster-than-logarithmic divergences that can…

Superconductivity · Physics 2023-03-16 Robert S. Markiewicz , Bahadur Singh , Christopher Lane , Arun Bansil
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