Hole and Pair Structures in the t-J model

Abstract

Using numerical results from density matrix renormalization group (DMRG) calculations for the t-J model, on systems as large as 10x7, we examine the structure of the one and two hole ground states in ladder systems and in two dimensional clusters. A simple theoretical framework is used to explain why holes bind in pairs in two-dimensional antiferromagnets. For the case J/t=0.5, which we have studied, the hole pairs reside predominantly on a 2x2 core plaquette with the probability that the holes are on diagonal sites greater than nearest-neighbor sites. There is a strong singlet bond connecting the spins on the two remaining sites of the plaquette. We find that a general characteristic of dynamic holes in an antiferromagnet is the presence of frustrating antiferromagnetic bonds connecting next-nearest-neighbor sites across the holes. Pairs of holes bind in order to share the frustrating bonds. At low doping, in addition to hole pairs, there are two additional low-energy structures which spontaneously form on certain finite systems. The first is an undoped Lx2 spin-liquid region, or ladder. The second is a hole moving along a one dimensional chain of sites. At higher doping we expect that hole pairing is always favored.

27 pages, with 20 Postscript figures

References in corpus (1)

• Spin Gaps in a Frustrated Heisenberg model for CaV${}_4$O${}_9$

Cited by in corpus (115)

• The density-matrix renormalization group
• New Trends in Density Matrix Renormalization
• Superconductivity in the two-dimensional t-J model
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• Competition Between Stripes and Pairing in a t-t'-J Model
• Plaquette Boson-Fermion Model of Cuprates
• Density matrix renormalisation group for a quantum spin chain at non-zero temperature
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Exploration of doped quantum magnets with ultracold atoms
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Sliding Density-Wave in Sr_{14}Cu_{24}O_{41} Ladder Compounds
• Stripe formation in doped Hubbard ladders
• The Superconducting Condensation Energy and an Antiferromagnetic Exchange Based Pairing Mechanism
• Direct observation of incommensurate magnetism in Hubbard chains
• Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
• Stripes in Doped Antiferromagnets: Single-Particle Spectral Weight
• On the Nagaoka polaron in the t-J model
• Doped Stripes in Models for the Cuprates Emerging from the One-hole Properties of the Insulator
• Stripe Stability in the Extended t-J Model on Planes and Four-Leg Ladders
• Ground State Properties of the Doped 3-Leg t-J Ladder
• The Density Matrix Renormalization Group for finite Fermi systems
• A comprehensive numerical and analytical study of two holes doped into the 2D t-J model
• Comparison of different ladder models
• Evolution of the stripe phase as a function of doping from a theoretical analysis of angle-resolved photoemission data
• Indications of Spin-Charge Separation in the 2D Extended t-J Model
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Nature of strong hole pairing in doped Mott antiferromagnets
• Magnetic properties and pairing tendencies of the iron-based superconducting ladder BaFe${}_2$S${}_3$: combined ab initio and density matrix renormalization group study
• Orbital control of effective dimensionality: from spin-orbital fractionalization to confinement in the anisotropic ladder system CaCu2O3
• Density Matrix Renormalization Group with Tensor Processing Units
• Successive opening of the Fermi surface in doped N-leg Hubbard ladders
• Stripe as an effective one-dimensional band of composite excitations
• Low energy states with different symmetries in the t-J model with two holes on a 32-site lattice
• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates
• Stripe Structures in the t-t'-J Model
• Stripes, Pseudogaps, and Van Hove Nesting in the Three-band tJ Model
• Anomalous corrections to the Kelvin equation at complete wetting
• Revisiting two holes in a locally antiferromagnetic background: the role of retardation and Coulomb repulsion effects
• Evolution of the Spin Gap Upon Doping a 2-Leg Ladder
• A density matrix renormalisation group algorithm for quantum lattice systems with a large number of states per site
• Stripes and superconducting pairing in the t-J model with Coulomb interactions
• Pairing Tendencies in a Two-orbital Hubbard Model in One Dimension
• Strong correlation induced charge localization in antiferromagnets
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• A Bosonic Model of Hole Pairs
• Kinetic energy driven superconductivity and pseugogap phase in weakly doped antiferromagnets
• Quasiparticle collapsing in an anisotropic $t$-$J$ ladder
• Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• Indications of Spin-Charge Separation at Short Distance and Stripe Formation in the Extended t-J Model on Ladders and Planes
• Charge density correlations in t-J ladders investigated by the CORE method
• Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study
• Phase separation in t-J ladders
• Rung-Rung Current Correlations on a 2-Leg t-J Ladder
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Dominant fifth-order correlations in doped quantum anti-ferromagnets
• Diagonal Ladders: A New Class of Models for Strongly Coupled Electron Systems
• A Configuration Interaction approach to hole pairing in the Two-Dimensional Hubbard Model
• Single hole dynamics in the t-J model on two- and three-leg ladders
• Emergence of Superconductivity in Doped Multiorbital Hubbard Chains
• Signatures of Stripe Phases in Hole Doped $L{a}_{2}Ni{O}_4$
• Phase Diagram of Coupled Ladders
• Breakdown of the Bloch-wave behavior for a single hole in a gapped antiferromagnet
• Holon Pair Condensation and Phase Diagram of High T_c Cuprates
• Intrinsic translational symmetry breaking in a doped Mott insulator
• Hole-Pairs in a Spin Liquid: Influence of Electrostatic Hole-Hole Repulsion
• Pairing correlation in the two- and three-leg Hubbard ladders --- Renormalization and quantum Monte Carlo studies
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• From an insulating to a superfluid pair-bond liquid
• Probing the Gauge Structure of high-temperature superconductors
• Quantum Monte Carlo Loop Algorithm for the t-J Model
• Interaction effects between impurities in low dimensional spin-1/2 antiferromagnets
• Symmetry of Photoexcited States and Large-Shift Raman Scattering in Two-Dimensional Mott Insulators
• Stripes in the Ising Limit of Models for the Cuprates
• Studies of the t-J two-leg ladder via series expansions
• Yukawa Coupling Contribution to Magnetic Field Induced Dynamical Mass
• Diagonalization in Reduced Hilbert Spaces using a Systematically Improved Basis: Application to Spin Dynamics in Lightly Doped Ladders
• Nature of a single doped hole in two-leg Hubbard and $t$-$J$ ladders
• Evidence of attraction between charge-carriers in a doped Mott insulator
• Relation between flux formation and pairing in doped antiferromagnets
• The two-leg t-J ladder: A mean-field description
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Hole Pairs in the Two-Dimensional Hubbard Model
• The dimer-RVB State of the Four-Leg Heisenberg Ladder: Interference among Resonances
• Recurrent Variational Approach to the Two-Leg Hubbard Ladder
• Effect of nonmagnetic impurities on stripes in high-Tc cuprates
• Schrieffer-Wolff Transformations for Experiments: Dynamically Suppressing Virtual Doublon-Hole Excitations in a Fermi-Hubbard Simulator
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Intertwined charge, spin, and pairing orders in doped iron ladders
• Strongly enhanced superconductivity in coupled t-J segments
• Edge States in Doped Antiferromagnetic Nano-Structures
• Dynamical symmetry breaking in the Nambu-Jona-Lasino model with external gravitational and constant electric fields
• The Gap Function Phi(k,w) for a Two-leg t-J Ladder and the Pairing Interaction
• Wave function and spatial structure of polarons in an antiferromagnetic bilayer
• Two-dopant origin of competing stripe and pair formation in Hubbard and $t$-$J$ models
• Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
• Dynamics of Holes and Universality Class of the Antiferromagnetic Transition in the Two Dimensional Hubbard Model
• Hole-pair symmetry and excitations in the strong-coupling extended t-Jz model: competition between d-wave and p-wave
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• New results for the t-J model in ladders: Changes in the spin liquid state with applied magnetic field. Implications for the cuprates
• Anomalous metallicity and electronic phase separation in the CsC60 polymerized fulleride
• Probing a Bose Metal via Electrons: Inescapable non-Fermi liquid scattering and pseudogap physics
• Origin of Spin Incommensurability in Hole-doped S=1 ${\mathrm{Y}}_{2-\mathrm{x}}\mathrm{C}{\mathrm{a}}_{\mathrm{x}}\mathrm{BaNi}{\mathrm{O}}_5$ Chains
• Density-matrix renormalization using three classes of block states
• Bound state of a hole and a triplet spin in the $t_1$-$t_2$-$J_1$-$J_2$ model
• Two-Hole and Four-Hole Bound States in a t-J Ladder at half-filling
• Hole-pair hopping in arrangements of hole-rich/hole-poor domains in a quantum antiferromagnet
• Hole-doping effects on a frustrated spin ladder
• Coexistence of d_{x^2-y^2}-Wave Superconductivity and Antiferromagnetism Induced by a Staggered Field
• Ferromagnetic clouds caused by hole motion in a one-dimensional $t$-$J$ mode
• The t-Jz ladder
• States of fermionic atoms in an optical superlattice across a Feshbach resonance
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Effects of domain walls on hole motion in the two-dimensional t-J model at finite temperature
• Resistivity of Doped Two-Leg Spin Ladders