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

Title: Stripe order from the perspective of the Hubbard model

Abstract

A microscopic understanding of the strongly correlated physics of the cuprates must account for the translational and rotational symmetry breaking that is present across all cuprate families, commonly in the form of stripes. Here we investigate emergence of stripes in the Hubbard model, a minimal model believed to be relevant to the cuprate superconductors, using determinant quantum Monte Carlo (DQMC) simulations at finite temperatures and density matrix renormalization group (DMRG) ground state calculations. By varying temperature, doping, and model parameters, we characterize the extent of stripes throughout the phase diagram of the Hubbard model. Our results show that including the often neglected next-nearest-neighbor hopping leads to the absence of spin incommensurability upon electron-doping and nearly half-filled stripes upon hole-doping. The similarities of these findings to experimental results on both electron and hole-doped cuprate families support a unified description across a large portion of the cuprate phase diagram.

Authors:
 [1];  [2];  [2];  [3];  [4]
  1. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of North Dakota, Grand Forks, ND (United States)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States). Geballe Lab. for Advanced Materials
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1431734
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
npj Quantum Materials
Additional Journal Information:
Journal Volume: 3; Journal Issue: 1; Journal ID: ISSN 2397-4648
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Huang, Edwin W., Mendl, Christian B., Jiang, Hong-Chen, Moritz, Brian, and Devereaux, Thomas P. Stripe order from the perspective of the Hubbard model. United States: N. p., 2018. Web. doi:10.1038/s41535-018-0097-0.
Huang, Edwin W., Mendl, Christian B., Jiang, Hong-Chen, Moritz, Brian, & Devereaux, Thomas P. Stripe order from the perspective of the Hubbard model. United States. doi:10.1038/s41535-018-0097-0.
Huang, Edwin W., Mendl, Christian B., Jiang, Hong-Chen, Moritz, Brian, and Devereaux, Thomas P. Fri . "Stripe order from the perspective of the Hubbard model". United States. doi:10.1038/s41535-018-0097-0. https://www.osti.gov/servlets/purl/1431734.
@article{osti_1431734,
title = {Stripe order from the perspective of the Hubbard model},
author = {Huang, Edwin W. and Mendl, Christian B. and Jiang, Hong-Chen and Moritz, Brian and Devereaux, Thomas P.},
abstractNote = {A microscopic understanding of the strongly correlated physics of the cuprates must account for the translational and rotational symmetry breaking that is present across all cuprate families, commonly in the form of stripes. Here we investigate emergence of stripes in the Hubbard model, a minimal model believed to be relevant to the cuprate superconductors, using determinant quantum Monte Carlo (DQMC) simulations at finite temperatures and density matrix renormalization group (DMRG) ground state calculations. By varying temperature, doping, and model parameters, we characterize the extent of stripes throughout the phase diagram of the Hubbard model. Our results show that including the often neglected next-nearest-neighbor hopping leads to the absence of spin incommensurability upon electron-doping and nearly half-filled stripes upon hole-doping. The similarities of these findings to experimental results on both electron and hole-doped cuprate families support a unified description across a large portion of the cuprate phase diagram.},
doi = {10.1038/s41535-018-0097-0},
journal = {npj Quantum Materials},
number = 1,
volume = 3,
place = {United States},
year = {2018},
month = {4}
}

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

Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Quantum magnetic excitations from stripes in copper oxide superconductors
journal, June 2004

  • Tranquada, J. M.; Woo, H.; Perring, T. G.
  • Nature, Vol. 429, Issue 6991
  • DOI: 10.1038/nature02574

The structure of the high-energy spin excitations in a high-transition-temperature superconductor
journal, June 2004

  • Hayden, S. M.; Mook, H. A.; Dai, Pengcheng
  • Nature, Vol. 429, Issue 6991
  • DOI: 10.1038/nature02576

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


A Fast Selected Inversion Algorithm for Green's Function Calculation in Many-Body Quantum Monte Carlo Simulations
conference, May 2016

  • Jiang, Chengming; Bai, Zhaojun; Scalettar, Richard
  • 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS)
  • DOI: 10.1109/IPDPS.2016.69

One-Dimensional Metallic Behavior of the Stripe Phase in La 2 x Sr x CuO 4
journal, May 2000


Stripes on a 6-Leg Hubbard Ladder
journal, September 2003


Stripe order, depinning, and fluctuations in La 1.875 Ba 0.125 CuO 4 and La 1.875 Ba 0.075 Sr 0.050 CuO 4
journal, September 2004


High-temperature charge density wave correlations in La 1.875 Ba 0.125 CuO 4 without spin–charge locking
journal, November 2017

  • Miao, H.; Lorenzana, J.; Seibold, G.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 47
  • DOI: 10.1073/pnas.1708549114

Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes
journal, March 2010


Quantum cluster theories
journal, October 2005


Numerical study of the two-dimensional Hubbard model
journal, July 1989


Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996


Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016


Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators
journal, May 2008


Advancing Large Scale Many-Body QMC Simulations on GPU Accelerated Multicore Systems
conference, May 2012

  • Tomas, Andres; Chang, Chia-Chen; Scalettar, Richard
  • 2012 IEEE International Symposium on Parallel & Distributed Processing (IPDPS), 2012 IEEE 26th International Parallel and Distributed Processing Symposium
  • DOI: 10.1109/IPDPS.2012.37

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


Theory of hydrodynamic transport in fluctuating electronic charge density wave states
journal, November 2017

  • Delacrétaz, Luca V.; Goutéraux, Blaise; Hartnoll, Sean A.
  • Physical Review B, Vol. 96, Issue 19
  • DOI: 10.1103/PhysRevB.96.195128

Magnetism in La2CuO4 based compounds
journal, April 1989


Competing States in the t - J Model: Uniform d -Wave State versus Stripe State
journal, July 2014


Superconductivity and the Pseudogap in the Two-Dimensional Hubbard Model
journal, May 2013


Density matrix formulation for quantum renormalization groups
journal, November 1992


Determinant quantum Monte Carlo study of the enhancement of d -wave pairing by charge inhomogeneity
journal, November 2012


Commensurate Spin Dynamics in the Superconducting State of an Electron-Doped Cuprate Superconductor
journal, April 2003


Monte Carlo calculations of coupled boson-fermion systems. I
journal, October 1981


Bad Metals from Fluctuating Density Waves
journal, January 2017


Progress and perspectives on electron-doped cuprates
journal, September 2010


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


Spin-Stripe Density Varies Linearly With the Hole Content in Single-Layer Bi 2 + x Sr 2 x CuO 6 + y Cuprate Superconductors
journal, January 2013


Density Matrix Renormalization Group Study of the Striped Phase in the 2D t J Model
journal, February 1998


Stripe formation in doped Hubbard ladders
journal, February 2005


Energetics of superconductivity in the two-dimensional Hubbard model
journal, December 2012


Systematic Study of d -Wave Superconductivity in the 2D Repulsive Hubbard Model
journal, November 2005


Strong Coupling Superconductivity, Pseudogap, and Mott Transition
journal, May 2012


Evidence for stripe correlations of spins and holes in copper oxide superconductors
journal, June 1995

  • Tranquada, J. M.; Sternlieb, B. J.; Axe, J. D.
  • Nature, Vol. 375, Issue 6532
  • DOI: 10.1038/375561a0