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Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically…

Strongly Correlated Electrons · Physics 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

The ground state (GS) properties of the quasi-one-dimensional $AB_2$ Hubbard model are investigated taking the effects of charge and spin quantum fluctuations on equal footing. In the strong-coupling regime, we derive a low-energy…

Strongly Correlated Electrons · Physics 2018-12-17 V. M. Martinez Alvarez , M. D. Coutinho-Filho

For the $t$-$J$ model, variational wave functions can generally be constructed based on an accurate description of antiferromagnetism (AFM) at half-filling and an exact phase-string sign structure under doping. The single-hole-doped and…

Strongly Correlated Electrons · Physics 2026-02-25 Can Cui , Jing-Yu Zhao , Zheng-Yu Weng

Gutzwiller variational method is applied to an effective two-dimensional Hubbard model to examine the recently proposed gossamer superconductor by Laughlin. The ground state at half filled electron density is a gossamer superconductor for…

Strongly Correlated Electrons · Physics 2009-11-07 F. C. Zhang

We present an resonating valence bond (RVB) theory of superconductivity for the Hubbard--Heisenberg model on an anisotropic triangular lattice. We show that these calculations are consistent with the observed phase diagram of the…

Superconductivity · Physics 2007-05-23 B. J. Powell , Ross H. McKenzie

Trial wavefunctions, constructed explicitly from the unique 2-dimensional Mott insulating state with antiferromagnetic order, are proposed to describe the low-energy states of a Mott insulator slightly doped with holes or electrons. With…

Strongly Correlated Electrons · Physics 2009-11-07 T. K. Lee , Chang-Ming Ho , Naoto Nagaosa , Wei-Cheng Lee

A single-hole ground state Ansatz for the two-dimensional t-J model has been recently studied by the variational Monte Carlo (VMC) method. Such a doped hole behaves like a "twisted" non-Landau quasiparticle characterized by an emergent…

Strongly Correlated Electrons · Physics 2022-04-01 Jing-Yu Zhao , Shuai A. Chen , Hao-Kai Zhang , Zheng-Yu Weng

We consider the exchange Hamiltonian H_ST = -J Sum_{<rr'>} (2 S_r S_r' - 1/2) (2 T_r T_r' - 1/2) describing two isotropic spin-1/2 Heisenberg antiferromagnets coupled by a quartic term on equivalent bonds. The model is relevant for systems…

Strongly Correlated Electrons · Physics 2009-10-31 L. Guidoni , G. Santoro , S. Sorella , A. Parola , E. Tosatti

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 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 determine the spin and charge orders in the ground state of the doped two-dimensional (2D) Hubbard model in its simplest form, namely with only nearest-neighbor hopping and on-site repulsion. At half-filling, the ground state is known to…

Strongly Correlated Electrons · Physics 2022-03-31 Hao Xu , Hao Shi , Ettore Vitali , Mingpu Qin , Shiwei Zhang

We propose a theory for doped antiferromagnet based on a bosonic resonating-valence-bond (RVB) state with incorporating the phase string effect. Both antiferromagnetic (AF) and superconducting phase transitions occur naturally within such a…

Strongly Correlated Electrons · Physics 2007-05-23 Z. Y. Weng , D. N. Sheng , C. S. Ting

Though most fermionic Mott insulators order at low temperatures, ordering is ancillary to their insulating behaviour. Our emphasis here is on disentangling ordering from the intrinsic strongly correlated physics of a doped half-filled band.…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Philip Phillips

We explore both analytically and numerically the properties of doped t-J models on a class of highly frustrated lattices, such as the kagome and the pyrochlore lattice. Focussing on a particular sign of the hopping integral and…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Indergand , Andreas Laeuchli , Sylvain Capponi , Manfred Sigrist

A central idea in strongly correlated systems is that doping a Mott insulator leads to a superconductor by transforming the resonating valence bonds (RVBs) into spin-singlet Cooper pairs. Here, we argue that a spin-triplet RVB (tRVB) state,…

Strongly Correlated Electrons · Physics 2020-08-14 Piers Coleman , Yashar Komijani , Elio J. König

We show that a resonant pulsed field can induce a steady superconducting state even in the deep Mott insulating phase of the dimerized Hubbard model. The superconductivity found here in the non-equilibrium steady state is due to the $\eta…

Strongly Correlated Electrons · Physics 2022-09-07 X. Z. Zhang , Z. Song

We study a variational wave function for the ground state of the two-dimensional S=1/2 Heisenberg antiferromagnet in the valence bond basis. The expansion coefficients are products of amplitudes h(x,y) for valence bonds connecting spins…

Strongly Correlated Electrons · Physics 2009-11-11 J. Lou , A. W. Sandvik

The pseudogap phase is considered as a new state of matter in the phase string model of the doped Mott insulator, which is composed of two distinct regimes known as upper and lower pseudogap phases, respectively. The former corresponds to…

Superconductivity · Physics 2007-05-23 Zheng-Yu Weng , Xiao-Liang Qi

A spin-1/2 system with double orbital degeneracy may possess SU(4) symmetry. According to the group theory a global SU(4) singelt state can be expressed as a linear combination of all possible configurations consisting of four-site SU(4)…

Strongly Correlated Electrons · Physics 2009-11-07 Shun-Qing Shen

The nature of the kagome Heisenberg antiferromagnet (HAFM) is under ongoing debate. While recent evidence points towards a Z_2 topological spin liquid, the exact nature of the topological phase is still unclear. In this paper, we introduce…

Strongly Correlated Electrons · Physics 2014-09-18 Mohsin Iqbal , Didier Poilblanc , Norbert Schuch