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The Copper-Oxygen planes in cuprates have been at the center of the search for a theory of high-temperature superconductivity. We conduct an extensive study of the ground state of the three-band Hubbard (Emery) model in the underdoped…

Superconductivity · Physics 2018-06-18 Adam Chiciak , Ettore Vitali , Hao Shi , Shiwei Zhang

An unresolved issue concerning cuprate superconductors is whether the distribution of carriers in the CuO(2) plane is uniform or inhomogeneous. Because the carriers comprise a small fraction of the total charge density and may be rapidly…

Superconductivity · Physics 2009-11-07 P. Abbamonte , L. Venema , A. Rusydi , G. A. Sawatzky , G. Logvenov , I. Bozovic

The nature of the effective interaction responsible for pairing in the high-temperature superconducting cuprates remains unsettled. This question has been studied extensively using the simplified single-band Hubbard model, which does not…

Superconductivity · Physics 2021-04-05 Peizhi Mai , Giovanni Balduzzi , Steven Johnston , Thomas A. Maier

A model of CuO$_2$ planes of cuprate perovskites, containing $d_{x^2-y^2}$ copper orbitals and symmetric combinations of oxygen $p_\sigma$ orbitals, is investigated using the strong coupling diagram technique. This approach allows one to…

Strongly Correlated Electrons · Physics 2020-09-01 Alexei Sherman

The cuprate high-temperature superconductors are among the most intensively studied materials, yet essential questions regarding their principal phases and the transitions between them remain unanswered. Generally thought of as doped…

Superconductivity · Physics 2020-03-18 D. Pelc , P. Popčević , G. Yu , M. Požek , M. Greven , N. Barišić

We study ground-state properties of the two-dimensional Hubbard model at half filling by improving variational Monte Carlo method and by implementing quantum-number projection and multi-variable optimization. The improved variational wave…

Strongly Correlated Electrons · Physics 2008-08-30 Daisuke Tahara , Masatoshi Imada

Upon doping, Mott insulators often exhibit symmetry breaking where charge carriers and their spins organize into patterns known as stripes. For high-Tc superconducting cuprates, stripes are widely suspected to exist in a fluctuating form.…

Strongly Correlated Electrons · Physics 2017-12-04 Edwin W. Huang , Christian B. Mendl , Shenxiu Liu , Steve Johnston , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux

The infinite-dimensional Hubbard model is studied by means of a modified perturbation theory. The approach reduces to the iterative perturbation theory for weak coupling. It is exact in the atomic limit and correctly reproduces the…

Strongly Correlated Electrons · Physics 2009-10-30 T. Wegner , M. Potthoff , W. Nolting

Quantum Monte Carlo methods are used to study a quantum phase transition in a 1D Hubbard model with a staggered ionic potential (D). Using recently formulated methods, the electronic polarization and localization are determined directly…

Strongly Correlated Electrons · Physics 2009-10-31 Tim Wilkens , Richard M. Martin

Based on the analysis of the measurement data of angle-resolved photoemission spectroscopy (ARPES) and optics, we show that the charge transfer gap is significantly smaller than the optical one and is reduced by doping in electron doped…

Superconductivity · Physics 2013-05-29 T. Xiang , H. G. Luo , D. H. Lu , K. M. Shen , Z. X. Shen

A computation of the cuprate phase diagram is presented. Adiabatic deformability back to the density function band structure is assumed. Symmetry constraints lead to a fermi liquid theory with 5 interaction parameters. Two of these are…

Superconductivity · Physics 2014-01-29 R. B. Laughlin

We consider a multiband Hubbard model $H_m$ for Cu and O orbitals in Ba$_{2-x}$Sr$_x$CuO$_{3+\delta}$ similar to the tree-band model for two-dimensional (2D) cuprates. The hopping parameters are obtained from maximally localized Wannier…

Strongly Correlated Electrons · Physics 2024-05-29 Adrian E. Feiguin , Christian Helman , Armando A. Aligia

We investigate the one-dimensional Hubbard model with a confining potential, which may describe cold fermionic atoms trapped in an optical lattice. Combining the variational Monte Carlo simulations with the new stochastic reconfiguration…

Statistical Mechanics · Physics 2007-05-23 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

We perform variational Monte Carlo simulations of the single-band Hubbard model on the square lattice with both nearest ($t$) and next-nearest ($t'$) neighbor hoppings. Our work investigates the consequences of increasing hole doping on the…

Strongly Correlated Electrons · Physics 2024-07-09 Antonio Lechiara , Vito Marino , Luca F. Tocchio

We apply the formally exact Diagrammatic Monte Carlo (DiagMC) method to probe the unprecedentedly low-temperature regime recently achieved in an ultracold-atom quantum simulation of the 2D Hubbard model [Xu et al., Nature 642, 909 (2025)].…

Quantum Gases · Physics 2025-12-01 Ben Currie , John Sturt , Evgeny Kozik

We use the determinant Quantum Monte Carlo method (DQMC) to study the interaction-driven semimetal to antiferromagnetic insulator transition in a $\pi$-flux Hamiltonian with modulated hoppings, a model which has two species of Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 H. -M. Guo , Lei Wang , R. T. Scalettar

Using a dynamical cluster quantum Monte Carlo approximation we investigate the d-wave superconducting transition temperature $T_c$ in the doped 2D repulsive Hubbard model with a weak inhomogeneity. The inhomogeneity is introduced in the…

Superconductivity · Physics 2009-11-13 D. G. S. P. Doluweera , A. Macridin , T. A. Maier , M. Jarrell , Th. Pruschke

We utilize a 1d Hubbard model to show that the superconductivity in cuprate superconductors likely arises due to the orbital entanglement between holes in the copper oxide plane mediated by orbitally-selective charge hopping. The main role…

Strongly Correlated Electrons · Physics 2022-06-03 Alexander Mitrofanov , Sergei Urazhdin

Recent applications of Quantum Monte Carlo (QMC) technique to Fe-based superconductors opened a way to directly verify the applicability of the itinerant scenario for these systems. Fe-based superconductors undergo various instabilities…

Superconductivity · Physics 2016-05-04 Andrey V. Chubukov , Rui-Qi Xing

One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark calculations, based on exact quantum Monte…

Other Condensed Matter · Physics 2009-11-13 Barbara Capogrosso-Sansone , Şebnem Güneş Söyler , Nikolay Prokof'ev , Boris Svistunov
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