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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

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

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

We show that doped Mott insulators exhibit a collective degree of freedom, not made out of the elemental excitations, because the number of single-particle addition states at low energy per electron per spin is greater than one. The…

Strongly Correlated Electrons · Physics 2008-05-30 Philip Phillips , Ting-Pong Choy , Robert G. Leigh

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…

We investigate the evolution of the Mott insulators in the triangular lattice Hubbard Model, as a function of hole doping $\delta$ in both the strong and intermediate coupling limits. Using the advanced density matrix renormalization group…

Strongly Correlated Electrons · Physics 2022-06-17 Zheng Zhu , D. N. Sheng , Ashvin Vishwanath

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

It is widely recognised that the effect of doping into a Mott insulator is complicated and unpredictable, as can be seen by examining the Hall coefficient in high $T_{\rm c}$ cuprates. The doping effect, including the electron-hole doping…

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 show that lightly doped holes will be self-trapped in an antiferromagnetic spin background at low-temperatures, resulting in a spontaneous translational symmetry breaking. The underlying Mott physics is responsible for such novel…

Strongly Correlated Electrons · Physics 2007-05-23 Su-Peng Kou , Z. Y. Weng

The phenomenon of Mott insulation involves the localization of itinerant electrons due to strong local repulsion. Upon doping, a pseudogap (PG) phase emerges - marked by selective gapping of the Fermi surface without conventional symmetry…

Strongly Correlated Electrons · Physics 2026-02-25 Abhirup Mukherjee , S. R. Hassan , Anamitra Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

Within the framework of the fermion-spin theory, the charge transport in the doped Mott insulators on a honeycomb lattice is studied by taking into account the pseudogap effect. It is shown that the conductivity spectrum in the low-doped…

Superconductivity · Physics 2016-05-04 Xixiao Ma , Yu Lan , Ling Qin , Shiping Feng

The fate of an injected hole in a Mott antiferromagnet is an outstanding issue of strongly correlated physics. It provides important insights into doped Mott insulators closely related to high-temperature superconductivity in cuprates.…

Strongly Correlated Electrons · Physics 2013-11-22 Zheng Zhu , Hong-Chen Jiang , Yang Qi , Chu-Shun Tian , Zheng-Yu 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

Mott insulators with localized magnetic moments will exhibit a quantum spin liquid (QSL) state when the quantum fluctuations are strong enough to suppress the ordering of the spins. Such an entangled state will give rise to collective…

Strongly Correlated Electrons · Physics 2025-04-17 Haiyang Chen , Fo-Hong Wang , Qiang Gao , Xue-Jian Gao , Zhenhua Chen , Yaobo Huang , Kam Tuen Law , Xiao Yan Xu , Peng Chen

We show that pronounced modulations in spin and charge densities can be induced by the insertion of a single hole in an otherwise half-filled 2-leg Hubbard ladder. Accompanied with these modulations is a loosely bound structure of the doped…

Quantum Gases · Physics 2016-03-23 Zheng Zhu , Zheng-Yu Weng , Tin-Lun Ho

The doped Mott insulator in one dimension has been studied based on the phase Hamiltonian with the Umklapp scattering process, in which the charge degree of freedom is described by the quantum sine-Gordon model. The well-known equivalence…

Condensed Matter · Physics 2009-10-28 Michiyasu Mori , Hidetoshi Fukuyama

In contrast to the conventional von Neumann bipartite entanglement entropy (bEE), we show that a more appropriate description of the one-dimensional doped Mott insulator is a new kind of mutual entanglement entropy (mEE) between the charge…

Strongly Correlated Electrons · Physics 2020-04-28 Wayne Zheng , Zheng-Yu Weng

Momentum resolved inelastic resonant x-ray scattering is used to map the evolution of charge excitations over a large range of energies, momenta and doping levels in the electron doped Mott insulator class Nd$_{2-x}$Ce$_x$CuO$_4$. As the…

Strongly Correlated Electrons · Physics 2008-12-11 Y. W. Li , D. Qian , L. Wray , D. Hsieh , Y. Kaga , T. Sasagawa , H. Takagi , R. S. Markiewicz , A. Bansil , H. Eisaki , S. Uchida , M. Z. Hasan

We show here that many of the normal state properties of the cuprates can result from the new charge 2e bosonic field which we have recently (Phys. Rev. Lett. {\bf 99}, 46404 (2007) and Phys. Rev. B 77, 014512 (2008)) shown to exist in the…

Strongly Correlated Electrons · Physics 2009-11-13 Ting-Pong Choy , Robert G. Leigh , Philip Phillips
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