skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Superconductivity in the doped t J model: Results for four-leg cylinders

Abstract

Here, we report a density-matrix renormalization group study of the lightly doped t–J model on a four-leg cylinder with doped hole concentrations per site δ = 5%–12.5%. By keeping an unusually large number of states and long system sizes, we are able to accurately document the interplay between superconductivity, spin, and charge-density-wave orders. The long-distance behavior is consistent with that of a Luther-Emery liquid with a spin gap and power-law charge-density-wave and superconducting correlations. This is the widest t–J or Hubbard system in which power-law superconducting correlations have been established.

Authors:
 [1];  [2];  [3]
  1. SLAC National Accelerator Lab., and Stanford Univ., Menlo Park, CA (United States)
  2. Tsinghua Univ., Beijing (China)
  3. Stanford Univ., Stanford, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1482219
Alternate Identifier(s):
OSTI ID: 1478583
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Jiang, Hong -Chen, Weng, Zheng -Yu, and Kivelson, Steven A. Superconductivity in the doped t–J model: Results for four-leg cylinders. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.140505.
Jiang, Hong -Chen, Weng, Zheng -Yu, & Kivelson, Steven A. Superconductivity in the doped t–J model: Results for four-leg cylinders. United States. doi:10.1103/physrevb.98.140505.
Jiang, Hong -Chen, Weng, Zheng -Yu, and Kivelson, Steven A. Fri . "Superconductivity in the doped t–J model: Results for four-leg cylinders". United States. doi:10.1103/physrevb.98.140505. https://www.osti.gov/servlets/purl/1482219.
@article{osti_1482219,
title = {Superconductivity in the doped t–J model: Results for four-leg cylinders},
author = {Jiang, Hong -Chen and Weng, Zheng -Yu and Kivelson, Steven A.},
abstractNote = {Here, we report a density-matrix renormalization group study of the lightly doped t–J model on a four-leg cylinder with doped hole concentrations per site δ = 5%–12.5%. By keeping an unusually large number of states and long system sizes, we are able to accurately document the interplay between superconductivity, spin, and charge-density-wave orders. The long-distance behavior is consistent with that of a Luther-Emery liquid with a spin gap and power-law charge-density-wave and superconducting correlations. This is the widest t–J or Hubbard system in which power-law superconducting correlations have been established.},
doi = {10.1103/physrevb.98.140505},
journal = {Physical Review B},
issn = {2469-9950},
number = 14,
volume = 98,
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: (a) Charge density pro le $n$($x$) of the t- $J$ model at doping levels $δ$ = 8.33% and $δ$ = 12.5% on a $L$$x$ = 96 cylinder. The open squares and circles denote numerical data, while the red lines are ts to $n$($x$) = $A$cdw cos($Qx$ + $θ$more » ) + $n$0, where $A$cdw and $Q$ are the amplitude and ordering wavevector of the local CDW, respectively. Note that only the central-half region with rung indices$\frac{L_x}{4}$ <$x$ ≤ $\frac{3L_x}{4}$ are shown and used in the fitting while the remaining $\frac{L_x}{4}$ data points from each end are removed to minimize the boundary e ect. The red oval labels the \reference site" chosen to calculate the SC correlation function in Eq. (3). (b) Finite-size scaling of CDW amplitude $A$cdw as a function of $L$$x$ at different doping levels in a double-logarithmic plot.« less

Save / Share:

Works referenced in this record:

Mechanism of high-temperature superconductivity in a striped Hubbard model
journal, June 2004


Superconductivity in ladders and coupled planes
journal, March 1992


Stripe formation in repulsive 4-leg Hubbard ladder: Directly-extended DMRG studies
journal, September 2008


Stripe order from the perspective of the Hubbard model
journal, April 2018

  • Huang, Edwin W.; Mendl, Christian B.; Jiang, Hong-Chen
  • npj Quantum Materials, Vol. 3, Issue 1
  • DOI: 10.1038/s41535-018-0097-0

Charged magnetic domain lines and the magnetism of high- T c oxides
journal, October 1989


Backward Scattering in the One-Dimensional Electron Gas
journal, September 1974


Pairing and excitation spectrum in doped t - J ladders
journal, June 1994


Incommensurate antiferromagnetism in the two-dimensional Hubbard model
journal, March 1990


Correlation Lengths in Quantum Spin Ladders
journal, May 1997


Pair correlations in doped Hubbard ladders
journal, November 2015


Correlated electrons in high-temperature superconductors
journal, July 1994


Ground states of the doped four-leg t-J ladder
journal, June 1997


Intertwined order in a frustrated four-leg t J cylinder
journal, April 2017


Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors
journal, November 2017


Magnetism in La2CuO4 based compounds
journal, April 1989


Dimensional Crossover in Quantum Antiferromagnets
journal, November 1996


Density matrix formulation for quantum renormalization groups
journal, November 1992


Nature of strong hole pairing in doped Mott antiferromagnets
journal, June 2014

  • Zhu, Zheng; Jiang, Hong-Chen; Sheng, D. N.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep05419

A firmer grip on the Hubbard model
journal, May 2017


Bipairing and the stripe phase in four-leg Hubbard ladders
journal, August 2007


Transition between hole pairs and four-hole clusters in four-leg t - J ladders
journal, May 2002


Entanglement entropy and quantum field theory
journal, June 2004


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

  • Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
  • Reviews of Modern Physics, Vol. 78, Issue 1
  • DOI: 10.1103/RevModPhys.78.17

Fractional charge and emergent mass hierarchy in diagonal two-leg t J cylinders
journal, June 2017


Properties of lightly doped t - J two-leg ladders
journal, January 1996

  • Troyer, Matthias; Tsunetsugu, Hirokazu; Rice, T. M.
  • Physical Review B, Vol. 53, Issue 1
  • DOI: 10.1103/PhysRevB.53.251

Nature of a single doped hole in two-leg Hubbard and t J ladders
journal, October 2016


Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017


Weak-coupling phase diagram of the two-chain Hubbard model
journal, May 1996


Stripe formation in doped Hubbard ladders
journal, February 2005