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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

Based on three general guiding principles, i.e., no double occupancy constraint, accurate description of antiferromagnetism at half-filling, and the precise sign structure of the $t$-$J$ model, a new ground state wave function has been…

Strongly Correlated Electrons · Physics 2015-09-07 Qing-Rui Wang , Zheng Zhu , Yang Qi , Zheng-Yu Weng

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

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

The internal structure of doped holes in the Mott insulator may provide important insight into the physics of doped cuprates. Its observability via a single-particle probe by scanning tunneling spectroscopy (STS) and angle-resolved…

Strongly Correlated Electrons · Physics 2024-08-27 Jing-Yu Zhao , Zheng-Yu Weng

A central issue of Mott physics, with symmetries being fully retained in the spin background, concerns the charge excitation. In a two-leg spin ladder with spin gap, an injected hole can exhibit either a Bloch wave or a density wave by…

Strongly Correlated Electrons · Physics 2018-07-25 Zheng Zhu , D. N. Sheng , Zheng-Yu Weng

We study the single hole tt't''J-model numerically to address the momentum space anisotropy found in doped Mott insulators. A simple two band picture to understand how the doped hole is screened by the spin background in states of different…

Strongly Correlated Electrons · Physics 2007-05-23 Tiago C. Ribeiro

Whether a doped hole propagates as a Bloch wave or not is an important issue of doped Mott physics. Here we examine this problem based on the quasiparticle spectral weight $Z$ distribution, calculated by density matrix renormalization group…

Strongly Correlated Electrons · Physics 2018-07-25 Zheng Zhu , D. N. Sheng , Zheng-Yu Weng

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

We propose a new class of ground states for doped Mott insulators in the electron second-quantization representation. They are obtained from a bosonic resonating valence bond (RVB) theory of the t-J model. At half filling, the ground state…

Strongly Correlated Electrons · Physics 2007-05-23 Z. Y. Weng , Y. Zhou , V. N. Muthukumar

We study the hole and magnon spectral functions as a function of hole doping in the two-dimensional (2D) t-J and t-t'-t"-J models working within the limits of the spin-wave theory, by linearizing the hole-spin-deviation interaction and by…

Strongly Correlated Electrons · Physics 2015-05-28 Satyaki Kar , Efstratios Manousakis

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

The possibility of coexistence of superconductivity (SC) and antiferromagnetic long range order (AFLRO) of the two-dimensional extended $t-J$ model in the very underdoped region is studied by the variational Monte-Carlo (VMC) method. In…

Strongly Correlated Electrons · Physics 2009-11-10 C. T. Shih , Y. C. Chen , C. P. Chou , T. K. Lee

We investigate the highly incoherent regime of hole-doped 2d Mott-Hubbard insulators at moderately small doping and temperatures T>=0.1J, where J is the exchange coupling. Within an extended dynamical mean-field theory of the t-J model and…

Strongly Correlated Electrons · Physics 2009-11-10 K. Haule , A. Rosch , J. Kroha , P. Wölfle

A doped Mott insulator exhibits peculiar properties associated with its singular sign structure. As a case study, we investigate the ground state and excitations of finite-size Heisenberg loops doped with one hole by exact diagonalization.…

Strongly Correlated Electrons · Physics 2018-10-22 Wayne Zheng , Zheng-Yu Weng

Recent measurements of quasiparticles in hole-doped cuprates reveal highly unusual features: 1) the doping-independent Fermi velocity, 2) two energy scales in the quasiparticle spectral function, and 3) a suppression of the low energy…

Superconductivity · Physics 2009-11-13 Fei Tan , Qiang-Hua Wang

The quasi-particle weight of a single hole in an antiferromagnetic background is studied in the semiclassical approximation. We start from the t-J model, generalize it to arbitrary spin S by employing an appropriate coherent state…

Strongly Correlated Electrons · Physics 2009-11-07 W. Apel , H. -U. Everts , U. Koerner

In this paper, we have systematically studied the single hole problem in two-leg Hubbard and $t$-$J$ ladders by large-scale density-matrix renormalization group calculations. We found that the doped hole in both models behaves similarly…

Strongly Correlated Electrons · Physics 2016-11-02 Shenxiu Liu , Hong-Chen Jiang , Thomas P. Devereaux

A microscopic theory is presented for the local moment formation near a non-magnetic impurity or a copper defect in high-T_c superconductors. We use a renormalized meanfield theory of the t-J model for a doped Mott insulator and study the…

Strongly Correlated Electrons · Physics 2009-11-07 Ziqiang Wang , Patrick A. Lee

The motion of a single hole in a Mott antiferromagnet is investigated based on the t-J model. An exact expression of the energy spectrum is obtained, in which the irreparable phase string effect [Phys. Rev. Lett. 77, 5102 (1996)] is…

Strongly Correlated Electrons · Physics 2009-10-31 Z. Y. Weng , V. N. Muthukumar , D. N. Sheng , C. S. Ting
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