Nature of a single doped hole in two-leg Hubbard and t-J ladders

Liu, Shenxiu; Jiang, Hong -Chen; Devereaux, Thomas P.

doi:10.1103/PhysRevB.94.155149

Title: Nature of a single doped hole in two-leg Hubbard and $t - J$ ladders

Abstract

In this study, 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 holes in both models behave similarly, while the three-site correlated hopping term is not important in determining the ground-state properties. For more insights, we have also calculated the elementary excitations, i.e., the energy gaps to the excited states of the system. In the strong-rung limit, we found that the doped hole behaves as a Bloch quasiparticle in both systems where the spin and charge of the doped hole are tightly bound together. In the isotropic limit, while the hole still behaves like a quasiparticle in the long-wavelength limit, our results show that its spin and charge components are only loosely bound together inside the quasiparticle, whose internal structure can lead to a visible residual effect which dramatically changes the local structure of the ground-state wave function.

Authors:

Liu, Shenxiu ^[1]; Jiang, Hong -Chen ^[2]; Devereaux, Thomas P. ^[3]

Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)

Publication Date:: Sat Oct 15 00:00:00 EDT 2016

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1348936

Alternate Identifier(s):: OSTI ID: 1330403

Grant/Contract Number:: AC02-76SF00515

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 94; Journal Issue: 15; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Liu, Shenxiu, Jiang, Hong -Chen, and Devereaux, Thomas P. Nature of a single doped hole in two-leg Hubbard and t-J ladders.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevB.94.155149.

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                    Liu, Shenxiu, Jiang, Hong -Chen, & Devereaux, Thomas P. Nature of a single doped hole in two-leg Hubbard and t-J ladders.  United States.  https://doi.org/10.1103/PhysRevB.94.155149

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                    Liu, Shenxiu, Jiang, Hong -Chen, and Devereaux, Thomas P. Sat .  
"Nature of a single doped hole in two-leg Hubbard and t-J ladders".  United States.  https://doi.org/10.1103/PhysRevB.94.155149.  https://www.osti.gov/servlets/purl/1348936.

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@article{osti_1348936,

  title        = {Nature of a single doped hole in two-leg Hubbard and t-J ladders},

  author       = {Liu, Shenxiu and Jiang, Hong -Chen and Devereaux, Thomas P.},

  abstractNote = {In this study, 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 holes in both models behave similarly, while the three-site correlated hopping term is not important in determining the ground-state properties. For more insights, we have also calculated the elementary excitations, i.e., the energy gaps to the excited states of the system. In the strong-rung limit, we found that the doped hole behaves as a Bloch quasiparticle in both systems where the spin and charge of the doped hole are tightly bound together. In the isotropic limit, while the hole still behaves like a quasiparticle in the long-wavelength limit, our results show that its spin and charge components are only loosely bound together inside the quasiparticle, whose internal structure can lead to a visible residual effect which dramatically changes the local structure of the ground-state wave function.},

  doi          = {10.1103/PhysRevB.94.155149},

  journal      = {Physical Review B},

  number       = 15,

  volume       = 94,

  place        = {United States},

  year         = {Sat Oct 15 00:00:00 EDT 2016},

  month        = {Sat Oct 15 00:00:00 EDT 2016}

}

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Title: Nature of a single doped hole in two-leg Hubbard and t - J ladders

Abstract

Citation Formats

Superconductivity in ladders and coupled planes journal, March 1992

Colloquium : Theory of intertwined orders in high temperature superconductors journal, May 2015

Hole and pair structures in the t-J model journal, March 1997

Spectral Function of Holes in a Quantum Antiferromagnet journal, June 1988

Mott physics, sign structure, ground state wavefunction, and high-T c superconductivity journal, November 2011

Origin of strong dispersion in Hubbard insulators journal, August 2015

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group journal, March 2012

Ground-state properties of the doped three-leg t - J ladder journal, February 1998

Quasiparticle collapsing in an anisotropic t − J ladder journal, December 2015

Dynamical properties of the single-hole t - J model on a 32-site square lattice journal, December 1995

Evidence for a Superfluid Density in t - J Ladders journal, July 1995

Charge modulation as fingerprints of phase-string triggered interference journal, July 2015

Strong correlation induced charge localization in antiferromagnets journal, September 2013

One Hole in the Two-Leg t − J Ladder and Adiabatic Continuity to the Noninteracting Limit journal, July 2015

Correlated electrons in high-temperature superconductors journal, July 1994

Single hole dynamics in the t − J model on two- and three-leg ladders journal, April 2001

Motion of a single hole in a quantum antiferromagnet journal, April 1989

Spin-charge separation in the single-hole-doped Mott antiferromagnet journal, January 2001

Density matrix formulation for quantum renormalization groups journal, November 1992

Effective Hamiltonian for the superconducting Cu oxides journal, March 1988

Doping a Mott insulator: Physics of high-temperature superconductivity journal, January 2006

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering journal, February 2014

Ineluctable complexity journal, November 2012

Phase String Effect in a Doped Antiferromagnet journal, December 1996

Spin polarons in the t - J model journal, July 1991

Phases of the Infinite U Hubbard Model on Square Lattices journal, March 2012

Title: Nature of a single doped hole in two-leg Hubbard and $t - J$ ladders

Superconductivity in ladders and coupled planes
journal, March 1992

Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015

Hole and pair structures in the t-J model
journal, March 1997

Spectral Function of Holes in a Quantum Antiferromagnet
journal, June 1988

Mott physics, sign structure, ground state wavefunction, and high-T c superconductivity
journal, November 2011

Origin of strong dispersion in Hubbard insulators
journal, August 2015

Studying Two-Dimensional Systems with the Density Matrix Renormalization Group
journal, March 2012

Ground-state properties of the doped three-leg $t$ - $J$ ladder
journal, February 1998

Quasiparticle collapsing in an anisotropic $t - J$ ladder
journal, December 2015

Dynamical properties of the single-hole t - J model on a 32-site square lattice
journal, December 1995

Evidence for a Superfluid Density in $t$ - $J$ Ladders
journal, July 1995

Charge modulation as fingerprints of phase-string triggered interference
journal, July 2015

Strong correlation induced charge localization in antiferromagnets
journal, September 2013

One Hole in the Two-Leg $t − J$ Ladder and Adiabatic Continuity to the Noninteracting Limit
journal, July 2015

Correlated electrons in high-temperature superconductors
journal, July 1994

Single hole dynamics in the $t - J$ model on two- and three-leg ladders
journal, April 2001

Motion of a single hole in a quantum antiferromagnet
journal, April 1989

Spin-charge separation in the single-hole-doped Mott antiferromagnet
journal, January 2001

Density matrix formulation for quantum renormalization groups
journal, November 1992

Effective Hamiltonian for the superconducting Cu oxides
journal, March 1988

Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006

Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
journal, February 2014

Ineluctable complexity
journal, November 2012

Phase String Effect in a Doped Antiferromagnet
journal, December 1996

Spin polarons in the t - J model
journal, July 1991

Phases of the Infinite $U$ Hubbard Model on Square Lattices
journal, March 2012