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The two-dimensional (2D) Hubbard model is widely believed to capture key ingredients of high-$T_c$ superconductivity in cuprate materials. However, compelling evidence remains elusive. In particular, various magnetic orders may emerge as…

Strongly Correlated Electrons · Physics 2025-10-30 Changkai Zhang , Jheng-Wei Li , Jan von Delft

The effect of anisotropy in the nearest-neighbor spin interactions that couple $N\geq 2$ consecutive spin-1/2 antiferromagnetic chains is studied theoretically by considering the limit where the coupling is purely of the Ising type. An…

Condensed Matter · Physics 2009-10-30 J. P. Rodriguez , P. D. Sacramento , V. R. Vieira

We discuss the consequences of including both electron-phonon and electron-electron couplings in multi-band models, focusing on numerical studies of a one-dimensional two-band model in the intermediate regime for both coupling strengths.…

Condensed Matter · Physics 2009-10-22 H. Roeder , A. R. Bishop , J. Tinka Gammel

Ground state properties, dispersion relations and scaling behaviour of spin gap of a bond alternating spin-$\frac{1}{2}$ anisotropic Heisenberg chain have been studied where the exchange interactions on alternate bonds are ferromagnetic…

Strongly Correlated Electrons · Physics 2017-06-23 S. Paul , A. K. Ghosh

We study the equilibrium spin configuration of the 2D Hubbard model at low doping, when a long-range magnetic order is still present. We use the spin-density-wave formalism and examine the two suggested candidates for a ground state: the…

Condensed Matter · Physics 2016-08-31 Andrey V. Chubukov , Karen A. Musaelian

An exact analytical diagonalization is used to solve the two dimensional Extended Hubbard Model for system with finite size. We have considered an Extended Hubbard Model (EHM) including on-site and off-site interactions with interaction…

Statistical Mechanics · Physics 2015-06-03 S. Harir , M. Bennai , Y. Boughaleb

It is shown that in the two-dimensional attractive Hubbard model, the mean-field phase transition is replaced by a renormalized classical regime of fluctuations where a pseudogap opens up in the single-particle spectral weight. It is argued…

Strongly Correlated Electrons · Physics 2009-10-30 Y. M. Vilk , S. Allen , H. Touchette , S. Moukouri , L. Chen , A. -M. S. Tremblay

We present a new class of flat-band Hubbard models which have saturated ferromagnetic ground states at two distinct electron numbers for different values of parameters. The models are extensions of Tasaki's flat-band models.

Strongly Correlated Electrons · Physics 2009-11-10 Teppei Sekizawa

A pair of anisotropic exceptional points (EPs) of arbitrary order are found in a class of non-Hermitian random systems with asymmetric hoppings. Both eigenvalues and eigenvectors exhibit distinct behaviors when these anisotropic EPs are…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Yi-Xin Xiao , Zhao-Qing Zhang , Zhi Hong Hang , C. T. Chan

An exhaustive ground-state analysis of extended two-dimensional (2D) correlated spin-electron model consisting of the Ising spins localized on nodal lattice sites and mobile electrons delocalized over pairs of decorating sites is performed…

Strongly Correlated Electrons · Physics 2018-05-23 Hana Čenčariková , Jozef Strečka , Andrej Gendiar , Natália Tomašovičová

The ferromagnetism of the checkerboard lattice Hubbard model at quarter filling is one of the few exact ferromagnetic ground states known in the family of Hubbard models. When the nearest neighbor hopping, t1, is negligible compared with…

Superconductivity · Physics 2012-11-16 Yuki Yanagi , Yasufumi Yamashita , Kazuo Ueda

We show that the pair-density-wave (PDW) superconducting state emergent in extended Heisenberg-Hubbard models in two-leg ladders is topological in the presence of an Ising spin symmetry and supports a Majorana zero mode (MZM) at an open…

Strongly Correlated Electrons · Physics 2014-12-22 Gil Young Cho , Rodrigo Soto-Garrido , Eduardo Fradkin

We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both…

Strongly Correlated Electrons · Physics 2021-01-20 Myung-Hoon Chung , Edmond Orignac , Didier Poilblanc , Sylvain Capponi

We study the stability of ground states in the Edwards-Anderson Ising spin glass in dimensions two and higher against perturbations of a single coupling. After reviewing the concepts of critical droplets, flexibilities and metastates, we…

Disordered Systems and Neural Networks · Physics 2025-11-03 C. M. Newman , D. L. Stein

We investigate low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction U < 0 using the density matrix renormalization group method as well as a perturbation theory. We find that…

Strongly Correlated Electrons · Physics 2009-11-11 Jize Zhao , Kazuo Ueda , Xiaoqun Wang

For many real spin-glass materials, the Edwards-Anderson model with continuous-symmetry spins is more realistic than the rather better understood Ising variant. In principle, the nature of an occurring spin-glass phase in such systems might…

Disordered Systems and Neural Networks · Physics 2008-04-28 Martin Weigel , Michel J. P. Gingras

We investigate the ground-state property of an e_g-orbital Hubbard model at quarter filling on a zigzag chain by exploiting the density matrix renormalization group method. When two orbitals are degenerate, the zigzag chain is decoupled to…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Onishi , Takashi Hotta

We study the ground state of the two-dimensional (2D) disordered Hubbard model by means of the projector quantum Monte Carlo (PQMC) method. This approach allows us to investigate the ground state properties of this model for lattice sizes…

Disordered Systems and Neural Networks · Physics 2009-10-31 Gaetan Caldara , Bhargavi Srinivasan , Dima Shepelyansky

The two-dimensional repulsive Hubbard model has been investigated by a variety of methods, from small to large U. Superconductivity with d-wave symmetry is consistently found close to half filling. After a brief review of the various…

Strongly Correlated Electrons · Physics 2018-12-31 Dionys Baeriswyl

We analyse a model of a one-dimensional electron gas interacting with an antiferromagnetic Heisenberg spin-1/2 chain via the spin exchange interactions. Using a solution at a special limit, we characterize the gapless modes of the spin gap…

Strongly Correlated Electrons · Physics 2016-08-31 Oron Zachar , Alexei M. Tsvelik