Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model

Abstract

We report results of large scale ground state density matrix renormalization group(DMRG) calculations on $t$-$t^{\prime }$-$J$ cylinders with circumferences 6 and 8. We determine a rough phase diagram which appears to approximate the 2D system. While for many properties, positive and negative $t^{\prime }$ values ($t^{\prime }/t=\pm 0.2$) appear to correspond to electron and hole doped cuprate systems, respectively, the behavior of superconductivity itself shows an inconsistency between the model and the materials. The $t^{\prime }<0$ (hole doped) region shows antiferromagnetism limited to very low doping, stripes more generally, and the familiar Fermi-surface of the hole doped cuprates. However, we find $t^{\prime }<0$ strongly suppresses superconductivity. The $t^{\prime }>0$ (electron doped) region shows the expected circular Fermi pocket of holes around the $(\pi ,\pi )$ point and a broad low-doped region of coexisting antiferromagnetism and $d$-wave pairing with a strong triplet $p$ component at wave-vector $(\pi ,\pi )$ induced by the antiferromagnetism and $d$-wave pairing. The pairing for the electron low-doped system with $t^{\prime }>0$ is strong and unambiguous in the DMRG simulations. At larger doping another broad region with stripes in addition to weaker $d$-wave pairing and striped $p$-wave pairing appears. In a small doping region near $x=0.08$ for $t^{\prime }\sim -0.2$, we find a new type of stripe involving unpaired holes located predominantly on chains spaced three lattice spacings apart. The undoped two-leg ladder regions in between mimic the short-ranged spin correlations seen in two-leg Heisenberg ladders.

References in corpus (41)

• The ITensor Software Library for Tensor Network Calculations
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• The Hubbard model: A computational perspective
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Neel order in square and triangular lattice Heisenberg models
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates
• Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Superconductivity in the two-dimensional t-J model
• Competition Between Stripes and Pairing in a t-t'-J Model
• Hole and Pair Structures in the t-J model
• Two-terminal transport measurements with cold atoms
• Stripe order from the perspective of the Hubbard model
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Period 4 stripe in the extended two-dimensional Hubbard model
• Superconductivity in the doped $t$-$J$ model: results for four-leg cylinders
• Intertwined Order in a Frustrated 4-leg $t-J$ Cylinder
• Pairing on striped $t$-$t^{\prime }$-$J$ lattices
• Generalized $t$-$t^{\prime }$-$J$ model: parameters and single-particle spectrum for electrons and holes in copper oxides
• Mean-field study of the interplay between antiferromagnetism and d-wave superconductivity
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Comparison of different ladder models
• Coexistence of SDW, d-wave singlet and staggered $\pi$-triplet superconductivity
• Backward Scattering and Coexistent State in Two-Dimensional Electron System
• Competing nodal d-wave superconductivity and antiferromagnetism
• Metallic and insulating stripes and their relation with superconductivity in the doped Hubbard model
• Stripes and spin-incommensurabilities are favored by lattice anisotropies
• Mechanism of formation of half-doped stripes in underdoped cuprates
• Spin excitations in layered antiferromagnetic metals and superconductors
• Induced spin-triplet pairing in the coexistence state of antiferromagnetism and singlet superconductivity: collective modes and microscopic properties
• Dynamical DMRG study of spin and charge excitations in the four-leg t-t'-J ladder

Cited by in corpus (88)

• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Charge Transfer and Zhang-Rice Singlet Bands in the Nickelate Superconductor $\mathrm{L}{\mathrm{a}}_3\mathrm{N}{\mathrm{i}}_2{\mathrm{O}}_7$ under Pressure
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Stripe order enhanced superconductivity in the Hubbard model
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Enhanced superconductivity by near-neighbor attraction in the doped Hubbard model
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Topological chiral and nematic superconductivity by doping Mott insulators on triangular lattice
• Pairing Properties of the $t$-$t^{\prime }$-$t^{\prime \prime }$-$J$ model
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Traces of Electron-Phonon Coupling in One-Dimensional Cuprates
• Strain-induced enhancement of $T_c$ in infinite-layer Pr${}_{0.8}$Sr${}_{0.2}$NiO${}_2$ films
• Controlled bond expansion for DMRG ground state search at single-site costs
• A perspective on machine learning and data science for strongly correlated electron problems
• Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Augmenting Density Matrix Renormalization Group with Disentanglers
• Fragmented Cooper pair condensation in striped superconductors
• Ab initio quantum many-body description of superconducting trends in the cuprates
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Reexamining doped two-legged Hubbard ladders
• Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Robust charge-density wave correlations in the electron-doped single-band Hubbard model
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• Extracting the Speed of Light from Matrix Product States
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Signatures of two gaps in the spin susceptibility of a cuprate superconductor
• Structure of Charge Density Waves in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• How quantum phases on cylinders approach the 2d limit
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Projected d-wave superconducting state: a fermionic projected entangled pair state study
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory
• Signatures of the Attractive Interaction in Spin Spectra of One-dimensional Cuprate Chains
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Robust d-wave superconductivity from the Su-Schrieffer-Heeger-Hubbard model: possible route to high-temperature superconductivity
• Two-dopant origin of competing stripe and pair formation in Hubbard and $t$-$J$ models
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Doping asymmetry in the three-band Hamiltonian for cuprate ladders: failure of the standard model of superconductivity in cuprates
• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• The Influence of Extended Interactions on Spin Dynamics in One-dimensional Cuprates
• Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model
• Simple predictors of $T_c$ in superconducting cuprates and the role of interactions between effective Wannier orbitals in the $d-p$ 3-band model
• Luther-Emery liquid and dominant singlet superconductivity in the hole-doped Haldane spin-1 chain
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Renormalized density matrix downfolding: A rigorous framework in learning emergent models from ab initio many-body calculations
• Spin loop-current textures in Hubbard models
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Free energy and metastable states in the square-lattice $J_1$-$J_2$ Ising model
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice
• Valence Transition Theory of the Pressure-Induced Dimensionality Crossover in Superconducting Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional $t$-$J$ model
• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• Quantum science with arrays of metastable helium-3 atoms
• Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
• Topological Phase Transitions of Interacting Fermions in the Presence of a Commensurate Magnetic Flux
• Altermagnetism in an interacting model of Kagome materials
• Competing pair density wave orders in the square lattice $t$-$J$ model
• Lifshitz transition in the phase diagram of two-leg $t$-$J$ ladder systems at low filling
• Cuprates, Pnictides and Sulfosalts: Lessons in Functional Materials
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• Superconductivity of Bad Fermions: Origin of Two Gaps in HTSC Cuprates
• Superfluid dome in the spatially modulated two-dimensional XY model
• Hartree-Fock with Nambu spinors, and d-wave condensation in the 2D Hubbard model
• Scan calculation of the density of states: real space cluster perturbation theory applied to inhomogeneous Hubbard model in one dimension
• Dominant Excitonic Superconductivity in a Three-component Hubbard Chain
• Nonpertubative Many-Body Theory for the Two-Dimensional Hubbard Model at Low Temperature: From Weak to Strong Coupling Regimes
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model