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Understanding the physics of the two-dimensional Hubbard model is widely believed to be a key step in achieving a full understanding of high-$T_\mathrm{c}$ cuprate superconductors. In recent years, progress has been made by large-scale…

Strongly Correlated Electrons · Physics 2025-09-29 Tizian Blatz , Ulrich Schollwöck , Fabian Grusdt , Annabelle Bohrdt

The interplay between structural and electronic degrees of freedom in complex materials is the subject of extensive debate in physics and materials science. Particularly interesting questions pertain to the nature and extent of…

Strong electron correlations lie at the origin of transformative phenomena such as colossal magneto-resistance and high-temperature superconductivity. Already near room temperature, doped copper oxide materials display remarkable features…

The intrinsic instability of underdoped copper oxides towards inhomogeneous states is one of the central puzzles of the physics of correlated materials. The influence of the Mott physics on the doping-temperature phase diagram of copper…

Since the discovery of high-$T_c$ cuprates the quest for new superconductors has shifted toward more anisotropic, strongly correlated materials with lower carrier densities and competing magnetic and charge density wave orders. While these…

Superconductivity · Physics 2015-01-08 Alex Gurevich

Both "large-U" and "small-U" orbitals are used to study the electronic structure of the high-T_c cuprates. A striped structure with three types of carriers are induced, polaron-like "stripons" which carry charge, "quasielectrons" which…

Superconductivity · Physics 2007-05-23 J. Ashkenazi

High-temperature superconductivity (HTS) of cuprates represents a challenge to the conventional theory. Here I review a multi-polaron approach to the problem based on our extension of the BCS theory to the strong-coupling regime. Since…

Superconductivity · Physics 2008-05-23 A. S. Alexandrov

The effect of the the $c$ axis compression on the electronic structure and superconducting properties of the HTSC cuprate La$_{2-x}$Sr$_x$CuO$_4$ at different doping is investigated. The electronic structure of quasiparticle excitations is…

Strongly Correlated Electrons · Physics 2026-02-26 I. A. Makarov , S. G. Ovchinnikov

Many important questions for high-$T_c$ cuprates are closely related to the insulating nature of parent compounds. While there has been intensive discussion on this issue, all arguments rely strongly on, or are closely related to, the…

Superconductivity · Physics 2016-09-27 Seung Woo Jang , Hirofumi Sakakibara , Hiori Kino , Takao Kotani , Kazuhiko Kuroki , Myung Joon Han

The addition to the Hubbard Hamiltonian of a t' diagonal hopping term, which is considered to be material dependent for high-Tc cuprate superconductors, is generally suggested to obtain a model capable to describe the physics of high-Tc…

Superconductivity · Physics 2009-10-30 Adolfo Avella , Ferdinando Mancini , Dario Villani , Hideki Matsumoto

Structural distortions in cuprate materials give a natural origin for anisotropies in electron properties. We study a modified one-band t-J model in which we allow for different hoppings and antiferromagnetic couplings in the two spatial…

Strongly Correlated Electrons · Physics 2016-08-31 Federico Becca , Luca Capriotti , Sandro Sorella

Using a spin-rotation invariant six-slave boson representation, we study the square lattice Hubbard model with nearest-neighbor hopping $t$ and next-nearest neighbor hopping $t'$. We discuss the influence of $t'$ on the charge and magnetic…

Strongly Correlated Electrons · Physics 2009-10-31 Raymond Frésard , Walter Zimmermann

The theory of the high temperature superconducting cuprates, which is based on the condensation of holes into strings in checker-board geometry, was successful to explain the elastically scattered Neutrons by spin waves. Here it is extended…

Superconductivity · Physics 2019-12-30 Moshe Dayan

Two-particle (2-p) excitations such as spin and charge excitations play a key role in high-Tc cuprate superconductors (HTSC). On the basis of a parameter-free theory, which extends the Variational Cluster Approach (a recently developed…

Strongly Correlated Electrons · Physics 2010-02-11 S. Brehm , E. Arrigoni , M. Aichhorn , W. Hanke

The apparently counterintuitive carrier concentration-dependent electronic properties of layered cobaltates have attracted wide interest. Here we point out that very similar carrier-concentration dependence has previously been noted in…

Strongly Correlated Electrons · Physics 2015-06-03 Sumit Mazumdar , R. Torsten Clay , Hongtao Li

Structural distortions in cuprate materials offer a microscopic origin for anisotropies in electron transport in the basal plane. Using a real-space Hartree-Fock approach, we consider the ground states of the anisotropic Hubbard (t_x \ne…

Strongly Correlated Electrons · Physics 2009-11-07 B. Normand , A. P. Kampf

The highly anisotropic and qualitatively different nature of in- and out-of-plane charge dynamics in high-Tc cuprates cannot be accommodated within the conventional Boltzmann transport theory. The variation of in- and out-of-plane…

Superconductivity · Physics 2016-04-20 S. H. Naqib , M. Afsana Azam , M. Borhan Uddin , J. R. Cole

Besides superconductivity, copper-oxide high temperature superconductors are susceptible to other types of ordering. We use scanning tunneling microscopy and resonant elastic x-ray scattering measurements to establish the formation of…

Significant progress towards a theory of high-temperature superconductivity in cuprates has been achieved via the study of effective one- and three-band Hubbard models. Nevertheless, material-specific predictions, while essential for…

Strongly Correlated Electrons · Physics 2025-03-10 Benjamin Bacq-Labreuil , Benjamin Lacasse , André-Marie S. Tremblay , David Sénéchal , Kristjan Haule

Understanding physics of high-$T_c$ cuprate superconductors remains one of the important problems in materials science. Though a number of diverse theories argue about the superconductivity and competing orders, ab initio and quantitative…

Strongly Correlated Electrons · Physics 2020-01-29 Takahiro Ohgoe , Motoaki Hirayama , Takahiro Misawa , Kota Ido , Youhei Yamaji , Masatoshi Imada