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Stripe order is a prominent feature in the phase diagram of the high-temperature cuprate superconductors. It has been confirmed as the lowest-energy state of the two-dimensional Fermi Hubbard model in certain parameter regimes. Upon…

Strongly Correlated Electrons · Physics 2025-09-16 Aritra Sinha , Alexander Wietek

The square-lattice Hubbard and closely related $t$-$J$ models are considered as basic paradigms for understanding strong correlation effects and unconventional superconductivity (SC). Recent large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-02-12 Xin Lu , Feng Chen , W. Zhu , D. N. Sheng , Shou-Shu Gong

We study the honeycomb lattice $t$-$J$ model using the fermionic tensor network approach. By examining the ansatz with various unit cells, we discover several different stripe states with different periods that compete strongly with uniform…

Strongly Correlated Electrons · Physics 2023-07-26 Zheng-Tao Xu , Zheng-Cheng Gu , Shuo Yang

The interplay between thermal and quantum fluctuations controls the competition between phases of matter in strongly correlated electron systems. We study finite-temperature properties of the strongly coupled two-dimensional doped Hubbard…

Strongly Correlated Electrons · Physics 2021-07-21 Alexander Wietek , Yuan-Yao He , Steven R. White , Antoine Georges , E. Miles Stoudenmire

We study stripe orders of charge and spin density waves in the extended Hubbard model with the nearest-neighbor Coulomb repulsion V within the mean field approximation. We obtain V vs. T(temperature) phase diagram for the on-site Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 Taira Kato , Masaru Kato

We investigate the microscopic mechanism of charge instabilities and the formation of inhomogeneous states in systems with strong electron correlations. It is demonstrated that within a strong coupling expansion the single-band Hubbard…

Superconductivity · Physics 2020-11-02 A. Bill , V. Hizhnyakov , R. K. Kremer , G. Seibold , A. Shelkan , A. Sherman

We show that many observable properties of high temperature superconductors can be obtained in the frameworks of one-dimensional self-consistent model with included superconducting correlations. Analytical solutions for spin, charge and…

Strongly Correlated Electrons · Physics 2016-08-31 S. I. Matveenko

An electronic phase separation model provides a natural explanation for a large variety of experimental results in the cuprates, including evidence for both stripes and larger domains, and a termination of the phase separation in the…

Superconductivity · Physics 2009-11-07 R. S. Markiewicz , C. Kusko

Transport measurements provide important characterizations of the nature of stripe order in the cuprates. Initial studies of systems such as La(1.6-x)Nd(0.4)Sr(x)CuO(4) demonstrated the strong anisotropy between in-plane and c-axis…

Superconductivity · Physics 2015-03-20 Qing Jie , Su Jung Han , Ivo Dimitrov , J. M. Tranquada , Qiang Li

We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states with d-wave superconductivity coexisting with…

Strongly Correlated Electrons · Physics 2018-03-09 Tuomas I. Vanhala , Päivi Törmä

We study the competition of antiferromagnetism and d-wave superconductivity at zero-temperature in the two-dimensional Hubbard model using Cellular Dynamical Mean Field Theory. The interplay between the two phases depends strongly on the…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , G. Kotliar

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

We discuss the problem of competition between a superconducting (SC) ordered state with a charge density wave (CDW) state in stripe phases of high $T_c$ superconductors. We consider an effective model for each stripe motivated by studies of…

Superconductivity · Physics 2011-03-21 Akbar Jaefari , Siddhartha Lal , Eduardo Fradkin

The ability to efficiently control charge and spin in the cuprate high-temperature superconductors is crucial for fundamental research and underpins technological development. Here, we explore the tunability of magnetism, superconductivity…

Based on the time-dependent Gutzwiller approximation for the extended Hubbard model we calculate the energy and momentum dependence of spin excitations for striped ground states. Our starting point correctly reproduces the observed doping…

Strongly Correlated Electrons · Physics 2009-04-25 G. Seibold , J. Lorenzana

Unconventional superconductivity often couples to other electronic orders in a cooperative or competing fashion. Identifying external stimuli that tune between these two limits is of fundamental interest. Here, we show that strain…

The phase diagrams and superconducting properties of the extended Hubbard model with pair hopping interaction, i.e. the Penson-Kolb-Hubbard model are studied. The analysis of the model is performed for d-dimensional hypercubic lattices,…

Superconductivity · Physics 2009-10-31 Stanislaw Robaszkiewicz , Bogdan R. Bulka

We study an extended Hubbard model with on-site repulsion and nearest neighbors attraction which tries to mimic some of the experimental features of doped cuprates in the superconducting state. We draw and discuss the phase diagram as a…

Superconductivity · Physics 2009-10-31 J. Ferrer , J. Sánchez-Cañizares , M. A. González-Alvarez

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

Strongly Correlated Electrons · Physics 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

Understanding the complex phase diagram of cuprate superconductors is a long-standing challenging problem. Recent studies have shown that orbital degrees of freedom, both Cu $e_g$ orbitals and O $p$ orbitals, are a key ingredient for a…