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Understanding the doped Mott insulator is a central challenge in condensed matter physics. In this work, we first explicitly identify a new sign structure in the $t$-$t'$-$J$ model on the square lattice that replaces the conventional Fermi…

Strongly Correlated Electrons · Physics 2024-10-15 Xin Lu , Jia-Xin Zhang , Shou-Shu Gong , D. N. Sheng , Zheng-Yu Weng

Inspired by the recent experimental advances in cold atom quantum simulators, we explore the experimentally implemented bosonic $t$-$t'$-$J$ model on the square lattice using large-scale density matrix renormalization group simulations. By…

Strongly Correlated Electrons · Physics 2026-03-06 Xin Lu , Jia-Xin Zhang , Lukas Homeier , Shou-Shu Gong , D. N. Sheng , Zheng-Yu Weng

The recent developments of the phase string theory for doped antiferromagnets will be briefly reviewed. Such theory is built upon a singular phase string effect induced by the motion of holes in a doped antiferromagnet, which as a precise…

Strongly Correlated Electrons · Physics 2007-05-23 Zheng-Yu Weng

We reexamine the problem of a hole moving in an antiferromagnetic spin background and find that the injected hole will always pick up a sequence of nontrivial phases from the spin degrees of freedom. Previously unnoticed, such a string-like…

Strongly Correlated Electrons · Physics 2009-10-28 Z. Y. Weng , D. N. Sheng , Y. -C. Chen , C. S. Ting

We study the doping of a Mott insulator in the presence of quenched frustrating disorder in the magnetic exchange. A low doping regime $\delta<J/t$ is found, in which the quasiparticle coherent scale is low : $\epsilon_F^* = J…

Strongly Correlated Electrons · Physics 2016-08-31 Olivier Parcollet , Antoine Georges

Injecting a single hole into a one-dimensional Heisenberg spin chain is probably the simplest case of doping a Mott insulator. The motion of such a single hole will generally induce a many-body phase shift, which can be identified by an…

Strongly Correlated Electrons · Physics 2016-01-06 Zheng Zhu , Qing-Rui Wang , D. N. Sheng , Zheng-Yu Weng

We reinvestigate a doped antiferromagnetic Mott insulator based on the slave-fermion approach of the t-J model, where antiferromagnetic spin fluctuations and doped holes are described by bosonic spinons and fermionic holons, respectively.…

Strongly Correlated Electrons · Physics 2008-11-18 Chenglong Jia , Ki-Seok Kim

In the generalized-tJ model the effect of the large local Coulomb repulsion is accounted for by restricting the Hilbert space to states with at most one electron per site. In this case the electronic system can be viewed in terms of holes…

Strongly Correlated Electrons · Physics 2009-11-11 Tiago C. Ribeiro , Xiao-Gang Wen

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

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

Doping an antiferromagnetic Mott insulator is central to our understanding of a variety of phenomena in strongly-correlated electrons, including high-temperature superconductors. To describe the competition between tunneling $t$ of hole…

By explicitly tracking the Marshall sign, a phase string induced by hopping is revealed in the one-hole-doped $t-J$ model. It is rigorously shown that such a phase string cannot be eliminated through low-lying spin excitations, and it…

Condensed Matter · Physics 2007-05-23 Z. Y. Weng , C. Y. Chen , D. N. Sheng

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 self-doped bilayer t-t'-J model of an electron- and a hole-doped planes is studied by the slave-boson mean-field theory. A hopping integral between the differently doped planes, which are generated by a site potential, are renormalized by…

Strongly Correlated Electrons · Physics 2008-09-28 J. Y. Gan , M. Mori , T. K. Lee , S. Maekawa

A detailed exact-diagonalization study is made for the doping dependence of the single-particle spectral function $A({\bf k},\omega)$ and momentum distribution function $n({\bf k})$ of the two-dimensional $t$$-$$J$ model as a representative…

Condensed Matter · Physics 2007-05-23 Y. Ohta , R. Eder

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

It is generally accepted that doped Mott insulators can be well characterized by the t-J model. In the t-J model, the electron fractionalization is dictated by the phase string effect. We found that in the underdoped regime, the…

Strongly Correlated Electrons · Physics 2012-01-18 Peng Ye , Chu-Shun Tian , Xiao-Liang Qi , Zheng-Yu Weng

We present a nonperturbative method for deriving a quasiparticle description of the low-energy excitations in the t-J model for strongly correlated electrons. Using the exact diagonalization technique we evaluated exactly the spectral…

Condensed Matter · Physics 2009-10-22 R. Eder , Y. Ohta

We study the effects of hole doping on one-dimensional Mott insulators with orbital degrees of freedom. We describe the system in terms of a generalized t-J model. At a specific point in parameter space the model becomes integrable in…

Strongly Correlated Electrons · Physics 2009-01-08 J. Sirker , J. Damerau , A. Klümper

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
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