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In this article I give a pedagogical illustration of why the essential problem of high-Tc superconductivity in the cuprates is about how an antiferromagnetically ordered state can be turned into a short-range state by doping. I will start…

Superconductivity · Physics 2011-12-23 Zheng-Yu Weng

The kinetic energy of electrons in a magnetic field is quenched resulting in a discrete set of highly degenerate Landau levels (LL) which gives rise to fascinating phenomena like the de Haas-van Alphen effect (dHvAe) or the integer and…

Strongly Correlated Electrons · Physics 2023-08-16 Valentin Leeb , Johannes Knolle

High-temperature superconductivity emerges in the CuO$_2$ plane upon doping a Mott insulator. To ascertain the influence of Mott physics plus short-range correlations, we solve a three-band copper-oxide model in the charge-transfer regime…

Strongly Correlated Electrons · Physics 2016-07-05 L. Fratino , P. Sémon , G. Sordi , A. -M. S. Tremblay

We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is "weakly"…

Strongly Correlated Electrons · Physics 2019-11-28 Krzysztof Bieniasz , Piotr Wrzosek , Andrzej M. Oles , Krzysztof Wohlfeld

We study the spin excitations and the transverse susceptibility of a two-dimensional antiferromagnet doped with a small concentration of holes in the t-J model. The motion of holes generates a renormalization of the magnetic properties. The…

Strongly Correlated Electrons · Physics 2009-10-31 I. R. Pimentel , F. Carvalho Dias , L. M. Martelo , R. Orbach

We show that the entangled-plaquette variational ansatz can be adapted to study the two-dimensional $t-J$ model in the presence of two mobile holes. Specifically, we focus on a square lattice comprising up to $N=256$ sites in the parameter…

Strongly Correlated Electrons · Physics 2016-11-23 Fabio Mezzacapo , Adriano Angelone , Guido Pupillo

We consider the one-band Hubbard model on the square lattice by using variational and Green's function Monte Carlo methods, where the variational states contain Jastrow and backflow correlations on top of an uncorrelated wave function that…

Strongly Correlated Electrons · Physics 2016-11-17 Luca F. Tocchio , Federico Becca , Sandro Sorella

We investigate the strong correlation effect in the spinless electron-hole two-band Hubbard model using the dynamical mean-field theory. At half filling, both the renormalization factor $Z$ and the number of conduction electrons (valence…

Strongly Correlated Electrons · Physics 2026-05-26 Masashi Akiyama , Yusuke Inokuma , Yoshiaki Ono

It is shown that the dynamics of a single hole in a quantum antiferromagnet (described by the t--J model) can be simply understood in terms of a composite quasiparticle. This description provides naturally two different energy scales t and…

Condensed Matter · Physics 2009-10-28 P. Beran , D. Poilblanc , R. B. Laughlin

We study the doping evolution of the electronic structure in the pseudogap state of high-Tc cuprate superconductors, by means of a cluster extension of the dynamical mean-field theory applied to the two-dimensional Hubbard model. The…

Strongly Correlated Electrons · Physics 2013-11-28 Shiro Sakai , Marcello Civelli

The two-dimensional $t$-$J$ model in the ground state is investigated by the power Lanczos method. The pairing-pairing correlation function for $d_{x^2-y^2}$-wave symmetry is enhanced in the realistic parameter regime for high-$T_c$…

Strongly Correlated Electrons · Physics 2009-10-28 Masanori Kohno

Recently, we have solved the long-standing problem of connecting the physics of the Mott insulator to the underdoped regime of the t-J model [PRB 82, 014504, 2010]. We have derived a renormalized Hamiltonian valid for small doping (x) which…

Superconductivity · Physics 2010-12-07 Sanjoy K. Sarker , Timothy Lovorn

Cooper pairing instability in a Fermi liquid is well understood by the BCS theory, but pairing mechanism for doped Mott insulators still remains elusive. Previously it has been shown by density matrix renormalization group (DMRG) method…

Strongly Correlated Electrons · Physics 2014-08-28 Zheng Zhu , Hong-Chen Jiang , Dong-Ning Sheng , Zheng-Yu Weng

A d-wave superconducting ground state for a doped Mott insulator is obtained. It is distinguished from a Gutzwiller-projected BCS superconductor by an explicit separation of Cooper pairing and resonating valence bond (RVB) pairing. Such a…

Superconductivity · Physics 2011-12-05 Zheng-Yu Weng

To understand the mechanism of Mott transitions in case of no magnetic influence, superfluid-insulator (Mott) transitions in the S=0 Bose Hubbard model at unit filling are studied on the square and triangular lattices, using a variational…

Strongly Correlated Electrons · Physics 2015-03-19 Hisatoshi Yokoyama , Tomoaki Miyagawa , Masao Ogata

We study the effects of doping a Mott insulator on the honeycomb lattice where spins interact via direction dependent Kitaev couplings J_K, and weak antiferromagnetic Heisenberg couplings J. This model is known to have a spin liquid ground…

Strongly Correlated Electrons · Physics 2012-08-30 Yi-Zhuang You , Itamar Kimchi , Ashvin Vishwanath

Implementing an improved method for analytic continuation and working with imaginary-time correlation functions computed using quantum Monte Carlo simulations, we resolve the single-particle dispersion relation and the density of states…

Strongly Correlated Electrons · Physics 2025-08-08 Gabe Schumm , Shiwei Zhang , Anders W. Sandvik

The ground state of the two-dimensional three-band Hubbard model in oxide superconductors is investigated by using the variational Monte Carlo method. The Gutzwiller-projected BCS and spin- density wave (SDW) functions are employed in the…

Strongly Correlated Electrons · Physics 2009-11-07 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

We demonstrate that the sign structure of the t-J model on a hypercubic lattice is entirely different from that of a Fermi gas, by inspecting the high temperature expansion of the partition function up to all orders, as well as the…

Strongly Correlated Electrons · Physics 2009-09-30 K. Wu , Z. Y. Weng , J. Zaanen

In cuprates, the strong correlations in proximity to the antiferromagnetic Mott insulating state give rise to an array of unconventional phenomena beyond high temperature superconductivity. Developing a complete description of the ground…

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