Intrinsic translational symmetry breaking in a doped Mott insulator

@article{Zhu2018IntrinsicTS,
title={Intrinsic translational symmetry breaking in a doped Mott insulator},
author={Zheng Zhu and Dong-ning Sheng and Zheng-yu Weng},
journal={Physical Review B},
year={2018}
}
• Published 1 July 2017
• Physics
• Physical Review B
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 (DMRG). By tuning the anisotropy of a two-leg $t$-$J$ ladder without closing the background spin gap, the $Z$ distribution unambiguously reveals a transition of the single hole state from a Bloch wave to a novel one with spontaneous translational symmetry…
8 Citations

Figures from this paper

Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling
• Physics
• 2021
A hole injected into a Mott insulator will gain an internal structure as recently identified by exact numerics, which is characterized by a nontrivial quantum number whose nature is of central
Hidden spin current in doped Mott antiferromagnets
• Physics
Physical Review B
• 2018
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
Localization in a t-J-Type Model with Translational Symmetry.
• Physics, Medicine
Physical review letters
• 2019
An explicit spatial localization of a hole is shown in a two-leg t-J ladder in the presence of a staggered chemical potential, which still retains translational symmetry, by the density matrix
Spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasiparticles
• Physics
Physical Review B
• 2019
We study the spectral function of two-leg Hubbard ladders with the time-dependent density matrix renormalization group method (tDMRG). The high-resolution spectrum displays features of spin-charge
On the possibility of many-body localization in a doped Mott insulator
• Physics, Medicine
Scientific reports
• 2016
It is shown that whereas a single hole can induce a very heavy Nagaoka polaron, two or more holes will form bound pair/droplets which are all localized excitations with flat bands at low energy densities, and MBL eigenstates of finite energy density can be constructed as composed of these localized droplets spatially separated.
Critical role of the sign structure in the doped Mott insulator: Luther-Emery versus Fermi-liquid-like state in quasi-one-dimensional ladders
• Physics
• 2020
Mechanism of superconductivity (SC) in a purely interacting electron system has been one of the most challenging issues in condensed matter physics. In the BCS theory, the Landau's Fermi liquid is a
Parton theory of angle-resolved photoemission spectroscopy spectra in antiferromagnetic Mott insulators
• Physics
• 2020
Angle-resolved photoemission spectroscopy (ARPES) has revealed peculiar properties of mobile dopants in correlated anti-ferromagnets (AFMs). But describing them theoretically, even in simplified toy
Phenomenological single-particle Green's function for the pseudogap and superconducting phases of high- Tc cuprates
• Physics
• 2019
We present a phenomenological Green's function to characterize the superconducting and pseudogap phases of the cuprates based on a microscopic theory of doped Mott insulators. In this framework, the

References

SHOWING 1-10 OF 86 REFERENCES
Strong correlation induced charge localization in antiferromagnets
• Physics, Medicine
Scientific reports
• 2013
A systematic numerical study of t-J ladder systems based on the density matrix renormalization group reveals a surprising result for the single hole's motion in an otherwise well-understood undoped system.
One Hole in the Two-Leg t-J Ladder and Adiabatic Continuity to the Noninteracting Limit.
• Physics, Medicine
Physical review letters
• 2015
It is shown that there is no localization and that the charge-density modulation arises when the minimum in the quasiparticle dispersion moves away from π, and all of the DMRG results can be qualitatively understood from a noninteracting "band-structure" perspective.
Pairing and excitation spectrum in doped t-J ladders.
• Physics, Medicine
Physical review. B, Condensed matter
• 1994
Exact diagonalization studies for a doped t-J ladder (or double chain) show hole pairing in the ground state. The excitation spectrum separates into a limited number of quasiparticles which carry
Spin and charge modulations in a single-hole-doped Hubbard ladder: Verification with optical lattice experiments
• Physics
• 2016
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
Superconductivity in the two-dimensional t-J model.
Using computational techniques, it is shown that pairing is a robust property of hole-doped antiferromagnetic insulators and argued-and numerically confirmed using several techniques, especially quantum Monte Carlo-that quantum fluctuations are not strong enough to suppress superconductivity.
Singlet stripe phases in the planar t-J model.
• Physics, Medicine
Physical review. B, Condensed matter
• 1995
For a wide region around J/t\ensuremath{\gtrsim}1 the hole-hole correlations in a single ladder are found to be predominantly charge-density-wave type, but an attraction between hole pairs on adjacent ladders leads to a stripe phase.
Pairing symmetry and Josephson current in doped 2-leg t-J ladders.
• Physics, Medicine
Physical review letters
• 2008
Measuring the response of the system and the induced Josephson current, density matrix renormalization group calculations show how, depending on the doping fraction, the rung-leg parity of the pair field changes from minus to plus as the density of holes is increased.
Nature of strong hole pairing in doped Mott antiferromagnets
• Physics, Medicine
Scientific reports
• 2014
It is shown that, in addition to spin pairing due to superexchange interaction, the strong frustration of the phase string signs on the kinetic energy gets effectively removed by pairing the charges, which results in strong binding of two holes.
Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• Physics
• 2018
We examine the pairing structure of holes injected into two \emph{distinct} spin backgrounds: a short-range antiferromagnetic phase versus a symmetry protected topological phase. Based on density
Phase String Effect in a Doped Antiferromagnet.
It is shown that a hole moving on an antiferromagnetic spin background always induces a phase-string effect, which can drastically modify the long-wavelength behavior of the doped hole, leading to a vanishing spectral weight Z at the ground-state energy.