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Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice t–J Model

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [2];  [4]
  1. Beihang University, Beijing (China); CSUN
  2. California State University, Northridge (CSUN), CA (United States)
  3. Westlake University, Hangzhou (China); Westlake Institute of Advanced Study, Hangzhou (China)
  4. Great Bay University, Dongguan (China); Great Bay Institute for Advanced Study, Dongguan (China)
+ Show Author Affiliations
The square-lattice Hubbard and closely related t-J models are considered as basic paradigms for understanding strong correlation effects and unconventional superconductivity (SC). Recent large-scale density matrix renormalization group simulations on the extended t-J model have identified d-wave SC on the electron-doped side (with the next-nearest-neighbor hopping t2 > 0) but a dominant charge density wave (CDW) order on the hole-doped side (t2 < 0), which is inconsistent with the SC of hole-doped cuprate compounds. We re-examine the ground-state phase diagram of the extended t-J model by employing the state-of-the-art density matrix renormalization group calculations with much enhanced bond dimensions, allowing more accurate determination of the ground state. On six-leg cylinders, while different CDW phases are identified on the hole-doped side for the doping range δ = 1/16 – 1/8, a SC phase emerges at a lower doping regime, with algebraically decaying pairing correlations and d-wave symmetry. On the wider eight-leg systems, the d-wave SC also emerges on the hole-doped side at the optimal 1=8 doping, demonstrating the winning of SC over CDW by increasing the system width. Furthermore, our results not only suggest a new path to SC in general t-J model through weakening the competing charge orders, but also provide a unified understanding on the SC of both hole- and electron-doped cuprate superconductors.
Research Organization:
California State University, Northridge (CSUN), CA (United States)
Sponsoring Organization:
National Natural Science Foundation of China; USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-06ER46305
OSTI ID:
2367313
Alternate ID(s):
OSTI ID: 2474123
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 132; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (61)

From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Algebraic charge liquids journal December 2007
In situ doping control of the surface of high-temperature superconductors journal June 2008
Ground-state phase diagram of the t-t ′ -J model journal October 2021
The t – J model for the oxide high- T c superconductors journal February 2008
The physics behind high-temperature superconducting cuprates: the  plain vanilla  version of RVB journal June 2004
Superconducting ground state of a doped Mott insulator journal October 2011
Period 4 stripe in the extended two-dimensional Hubbard model journal November 2019
Modeling the pseudogap metallic state in cuprates: Quantum disordered pair density wave journal February 2020
Plaquette versus ordinary d -wave pairing in the t ′ -Hubbard model on a width-4 cylinder journal July 2020
Pairing properties of the t−t′−t″−J model journal November 2022
Superconducting valence bond fluid in lightly doped eight-leg t−J cylinders journal August 2023
Density matrix renormalization group based downfolding of the three-band Hubbard model: Importance of density-assisted hopping journal October 2023
Topology of the resonating valence-bond state: Solitons and high- T c superconductivity journal June 1987
Generalized t - t ′- J model: Parameters and single-particle spectrum for electrons and holes in copper oxides journal January 1996
Phase string effect in the t-J model: General theory journal February 1997
Competition between stripes and pairing in a t − t ′ − J model journal July 1999
Z 2 gauge theory of electron fractionalization in strongly correlated systems journal September 2000
Qualitative understanding of the sign of t ′ asymmetry in the extended t − J model and relevance for pairing properties journal October 2001
Mechanism of high-temperature superconductivity in a striped Hubbard model journal June 2004
Stripe formation in doped Hubbard ladders journal February 2005
Unidirectional d -wave superconducting domains in the two-dimensional t − J model journal October 2007
Stability of RVB hole stripes in high-temperature superconductors journal June 2008
Pairing on striped t − t ′ − J lattices journal June 2009
Superconductivity in the two-dimensional t - t ′ -Hubbard model journal January 2014
Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping journal February 2017
Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model journal March 2017
Intertwined order in a frustrated four-leg t − J cylinder journal April 2017
Competition among various charge-inhomogeneous states and d -wave superconducting state in Hubbard models on square lattices journal January 2018
Dynamical density matrix renormalization group study of spin and charge excitations in the four-leg t − t ′ − J ladder journal June 2018
Superconductivity in the doped t − J model: Results for four-leg cylinders journal October 2018
Competing States in the t - J Model: Uniform d -Wave State versus Stripe State journal July 2014
High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid journal August 2021
Robust d -Wave Superconductivity in the Square-Lattice t − J Model journal August 2021
Fragmented Cooper Pair Condensation in Striped Superconductors journal October 2022
Resonating – valence-bond theory of phase transitions and superconductivity in La 2 CuO 4 -based compounds journal June 1987
Density matrix formulation for quantum renormalization groups journal November 1992
Density Matrix Renormalization Group Study of the Striped Phase in the 2D t − J Model journal February 1998
Stripe States with Spatially Oscillating d -Wave Superconductivity in the Two-Dimensional t − t ′ − J Model journal February 2002
Superconductivity in the Two-Dimensional t − J Model journal February 2002
Stripes on a 6-Leg Hubbard Ladder journal September 2003
Enhancement of Pairing Correlation by t ′ in the Two-Dimensional Extended t − J Model journal June 2004
Fermi Surface and Quasiparticle Excitations of Overdoped Tl 2 Ba 2 CuO 6 + δ journal August 2005
Ground state phase diagram of the doped Hubbard model on the four-leg cylinder journal July 2020
Stripes and spin-density waves in the doped two-dimensional Hubbard model: Ground state phase diagram journal March 2022
Absence of Superconductivity in the Pure Two-Dimensional Hubbard Model journal July 2020
Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature journal July 2021
Amperean Pairing and the Pseudogap Phase of Cuprate Superconductors journal July 2014
Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms journal December 2015
Angle-resolved photoemission studies of the cuprate superconductors journal April 2003
Colloquium:  Order and quantum phase transitions in the cuprate superconductors journal July 2003
The density-matrix renormalization group journal April 2005
Doping a Mott insulator: Physics of high-temperature superconductivity journal January 2006
A common thread: The pairing interaction for unconventional superconductors journal October 2012
The Resonating Valence Bond State in La2CuO4 and Superconductivity journal March 1987
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
Stripe order in the underdoped region of the two-dimensional Hubbard model journal November 2017
The Remarkable Underlying Ground States of Cuprate Superconductors journal March 2019
The Hubbard Model journal November 2021
The non-Abelian density matrix renormalization group algorithm journal March 2002

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Charge density waves
Cuprates
Density matrix renormalization group
Superconducting gap
Superconducting order parameter
Superconducting phase transition
t-J model