Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Phase diagram of the one-dimensional t1 - t2 -J model: Ferromagnetism, triplet pairing, and charge and pair density waves

Journal Article · · Physical Review. B
 [1];  [2]
  1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); SLAC
  2. Northeastern Univ., Boston, MA (United States)
+ Show Author Affiliations
Here, we present a density matrix renormalization group (DMRG) study of an extended t-J model with hopping to the first and second neighbors -- the one dimensional t1-t2-J model. The full phase diagram as a function of the density n and exchange strength J, for both positive and negative values of t2, is obtained. For t2 = -0.5 we observe that, in the strongly interacting region, Nagaoka Ferromagnetism (FM) is accompanied by a triplet pair density wave (PDW) upon doping. As the spin exchange J increases, a charge density wave (CDW) phase emerges and then gives way to singlet superconductivity (SC). This phase behaves as a singlet PDW with vanishing spacial average of the order parameter and a spin gap. When t2 = 0.5, the physics is basically reminiscent of the conventional t-J model, undergoing a transition from a metallic to a SC phase as a function of J.
Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
2447158
Alternate ID(s):
OSTI ID: 2453931
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 8 Vol. 110; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (66)

Ferromagnetism in Hubbard models: Low density route journal May 1995
Effective transfer for singlets formed by hole doping in the high-Tc superconductors journal October 1989
Stripe states in t–t′–J model from a variational viewpoint journal November 2012
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Perspective on the phase diagram of cuprate high-temperature superconductors journal May 2016
Direct penetration of spin-triplet superconductivity into a ferromagnet in Au/SrRuO3/Sr2RuO4 junctions journal October 2016
Stripe order from the perspective of the Hubbard model journal April 2018
Ground-state phase diagram of the t-t ′ -J model journal October 2021
Theory of Superconductivity journal December 1957
Superconductivity in a Strong Spin-Exchange Field journal August 1964
Ferromagnetism in a Narrow, Almost Half-Filled s Band journal July 1966
Effect of band structure on ferromagnetism journal August 1974
Period 4 stripe in the extended two-dimensional Hubbard model journal November 2019
Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets journal August 2020
Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder journal July 2022
Pair density wave in the doped three-band Hubbard model on two-leg square cylinders journal June 2023
Triplet pair density wave superconductivity on the π -flux square lattice journal July 2023
Renormalization from density-functional theory to strong-coupling models for electronic states in Cu-O materials journal June 1990
Doping dependence of high-energy spectral weights for the high-Tccuprates journal January 1991
Derivation of a one-band Hubbard model for CuO planar materials journal October 1991
Single-, triple-, or multiple-band Hubbard models journal November 1991
Density-matrix algorithms for quantum renormalization groups journal October 1993
Role of next-nearest-neighbor hopping in thet-t’-Jmodel journal February 1994
One-dimensional t − J model with next-nearest-neighbor hopping: Breakdown of the Luttinger liquid journal December 1997
Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping journal August 1998
Phase diagram of the weak-coupling two-dimensional t − t ′ Hubbard model at low and intermediate electron density journal April 1999
Competition between stripes and pairing in a t − t ′ − J model journal July 1999
Triplet superconductivity in a one-dimensional ferromagnetict−Jmodel journal April 2000
Staggered liquid phases of the one-dimensional Kondo-Heisenberg lattice model journal April 2001
Proposal of an extendedt−JHamiltonian for high-Tccuprates fromab initiocalculations on embedded clusters journal May 2001
Qualitative understanding of the sign of t ′ asymmetry in the extended t − J model and relevance for pairing properties journal October 2001
Phases and phase transitions in the half-filledt−t′Hubbard chain journal September 2007
Fluctuating spin density waves in metals journal October 2009
Pair density waves in coupled doped two-leg ladders journal July 2010
Bound state of a hole and a triplet spin in the t 1 − t 2 − J 1 − J 2 model journal February 2011
Itinerant ferromagnetic phase of the Hubbard model journal February 2011
Exotic paired phases in ladders with spin-dependent hopping journal March 2011
Ground-state phase diagram of the one-dimensional t - J model journal May 2011
Pair-density-wave superconducting order in two-leg ladders journal January 2012
Superconductivity in the doped t − J model: Results for four-leg cylinders journal October 2018
Incorporation of charge- and pair-density-wave states into the one-band model of d -wave superconductivity journal October 2018
Exotic Paired States with Anisotropic Spin-Dependent Fermi Surfaces journal July 2009
Pair-Density-Wave Correlations in the Kondo-Heisenberg Model journal September 2010
Phases of the Infinite U Hubbard Model on Square Lattices journal March 2012
Pair Density Wave in the Doped t − J Model with Ring Exchange on a Triangular Lattice journal April 2019
Robust d -Wave Superconductivity in the Square-Lattice t − J Model journal August 2021
Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice 𝑡−𝐽 Model journal February 2024
Density matrix formulation for quantum renormalization groups journal November 1992
Stripe States with Spatially Oscillating d -Wave Superconductivity in the Two-Dimensional t − t ′ − J Model journal February 2002
Enhancement of Pairing Correlation by t ′ in the Two-Dimensional Extended t − J Model journal June 2004
Ground state phase diagram of the doped Hubbard model on the four-leg cylinder journal July 2020
Angle-resolved photoemission studies of the cuprate superconductors journal April 2003
Doping a Mott insulator: Physics of high-temperature superconductivity journal January 2006
Progress and perspectives on electron-doped cuprates journal September 2010
Colloquium : Theory of intertwined orders in high temperature superconductors journal May 2015
Angle-resolved photoemission studies of quantum materials journal May 2021
Numerical evidence of fluctuating stripes in the normal state of high- T c cuprate superconductors journal November 2017
Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′ journal September 2019
Nearly ferromagnetic spin-triplet superconductivity journal August 2019
Anomalously strong near-neighbor attraction in doped 1D cuprate chains journal September 2021
Spin-Triplet Superconductivity Induced by Charge Fluctuations in Extended Hubbard Model journal September 2005
High- T c Superconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism– journal January 2012
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond journal March 2020
The Hubbard Model: A Computational Perspective journal November 2021
The ITensor Software Library for Tensor Network Calculations journal August 2022
Codebase release 0.3 for ITensor journal August 2022

Similar Records

Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice t–J Model
Journal Article · Wed Feb 07 19:00:00 EST 2024 · Physical Review Letters · OSTI ID:2367313
Characterizing random-singlet state in two-dimensional frustrated quantum magnets and implications for the double perovskite Sr2CuTe1–xWxO6
Journal Article · Wed Jan 18 19:00:00 EST 2023 · Physical Review. B · OSTI ID:2203462
Testing for pair density wave order in La1.875Ba0.125CuO4
Journal Article · Sun Nov 13 19:00:00 EST 2022 · Physical Review. B · OSTI ID:1898615

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY