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We examine the dynamical magnetic response in a two-component resonating-valence-bond (RVB) description of the doped Mott insulator. The half-filled antiferromagnetic phase described by the Schwinger-boson mean-field theory will evolve into…

Strongly Correlated Electrons · Physics 2023-07-13 Jia-Xin Zhang , Chuan Chen , Jian-Hao Zhang , 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

Ideas about resonant valence bond liquids and spin-charge separation have led to key concepts in physics such as quantum spin liquids, emergent gauge symmetries, topological order, and fractionalisation. Despite extensive efforts to…

We have been able to resolve two long-standing issues that are central to the theory of high Tc superconductivity: (1) How is the physics of the doped region connected to that of the Mott insulator? (2) What is the origin of the…

Strongly Correlated Electrons · Physics 2013-05-29 Sanjoy K Sarker , Timothy Lovorn

Two-leg t-J ladders are investigated in the framework of a combination of the phase string formulation and bond-operator representation. We develope a mean-field theory in the strong rung interaction regime, i.e. $J_{\perp}\gg J, t$, which…

Strongly Correlated Electrons · Physics 2009-10-31 Y. L. Lee , Y. W. Lee , C. -Y. Mou , Z. Y. Weng

We investigate the nature of doped Mott insulators using exact diagonalization and density matrix renormalization group methods. Persistent spin currents are revealed in the ground state, which are concomitant with a nonzero total momentum…

Strongly Correlated Electrons · Physics 2018-10-22 Wayne Zheng , Zheng Zhu , D. N. Sheng , Zheng-Yu Weng

We study the ground-state phase diagram of the spin-1/2 J1-J2 Heisenberg model on the square lattice with an accurate Bosonic resonating valence-bond (RVB) wave function. In contrast to the RVB ansatz based on Schwinger Fermions, the…

Strongly Correlated Electrons · Physics 2021-08-06 Tao Li , Federico Becca , Wenjun Hu , Sandro Sorella

Motivated by recent experiments on SrCu$_2$(BO$_3$)$_2$, we investigate the ground states of the doped Mott insulator on the Shastry-Sutherland lattice. To provide a unified theoretical framework for both the valence-bond solid state found…

Strongly Correlated Electrons · Physics 2009-11-13 Bohm-Jung Yang , Yong Baek Kim , Jaejun Yu , Kwon Park

We study the resonating valence bond (RVB) theory of the Hubbard-Heisenberg model on the half-filled anisotropic triangular lattice. Varying the frustration changes the wavevector of maximum spin correlation in the Mott insulating phase.…

Superconductivity · Physics 2009-01-23 B. J. Powell , Ross H. McKenzie

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

Strongly Correlated Electrons · Physics 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

We present a systematic study of spin dynamics in a superconducting ground state, which itself is a doped-Mott-insulator and can correctly reduce to an antiferromagnetic (AF) state at half-filling with an AF long-range order (AFLRO). Such a…

Superconductivity · Physics 2007-05-23 W. Q. Chen , Z. Y. Weng

Superconductivity is usually described in the framework of the Bardeen-Cooper-Schrieffer (BCS) wavefunction, which even includes the resonating-valence-bond (RVB) wavefunction proposed for the high-temperature superconductivity in the…

Strongly Correlated Electrons · Physics 2019-01-02 Shuai Chen , Zheng Zhu , Zheng-Yu Weng

We propose the projected BCS wave function as the ground state for the doped Mott insulator SrCu2(BO3)2 on the Shastry-Sutherland lattice. At half filling this wave function yields the exact ground state. Adding mobile charge carriers, we…

Strongly Correlated Electrons · Physics 2011-11-09 Jun Liu , Nandini Trivedi , Yongbin Lee , B. N. Harmon , Joerg Schmalian

The ground state of the bipartite $t$-$J$ model must satisfy a specific sign structure, based on which the single-hole and two-hole ground state $Ans\ddot{a}tze$ on honeycomb lattice are constructed and studied by a variational Monte Carlo…

Strongly Correlated Electrons · Physics 2024-06-25 Can Cui , Jing-Yu Zhao , Zheng-Yu Weng

We study the nature of the superconducting state, the origin of d-wave pairing, and elementary excitations of a resonating valence bond (RVB) superconductor. We show that the phase string formulation of the t-J model leads to confinement of…

Strongly Correlated Electrons · Physics 2009-11-07 Yi Zhou , V. N. Muthukumar , Zheng-Yu Weng

We introduce a variational state for one-dimensional two-orbital Hubbard models that intuitively explains the recent computational discovery of pairing in these systems when hole doped. Our Ansatz is an optimized linear superposition of…

Strongly Correlated Electrons · Physics 2020-05-26 Niravkumar D. Patel , Nitin Kaushal , Alberto Nocera , Gonzalo Alvarez , Elbio Dagotto

We study a ground-state ansatz for the single-hole doped $t$-$J$ model in two dimensions via a variational Monte Carlo (VMC) method. Such a single-hole wave function possesses finite angular momenta generated by hidden spin currents, which…

Strongly Correlated Electrons · Physics 2019-07-04 Shuai Chen , Qing-Rui Wang , Yang Qi , D. N. Sheng , Zheng-Yu Weng

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

The Resonating Valence Bond (RVB) theory for two-dimensional quantum antiferromagnets is shown to be the correct paradigm for large enough ``quantum frustration''. This scenario, proposed long time ago but never confirmed by microscopic…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

The ground states and excitations of two-dimensional insulating and doped Mott insulators are described by a bond operator formalism. While the method represents the degrees of freedom of an arbitrary antiferromagnet exactly, it is…

Strongly Correlated Electrons · Physics 2007-05-23 Kwon Park , Subir Sachdev
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