The ground state of the two-leg Hubbard ladder: a density--matrix renormalization group study

Abstract

We present density-matrix renormalization group results for the ground state properties of two-leg Hubbard ladders. The half-filled Hubbard ladder is an insulating spin-gapped system, exhibiting a crossover from a spin-liquid to a band-insulator as a function of the interchain hopping matrix element. When the system is doped, there is a parameter range in which the spin gap remains. In this phase, the doped holes form singlet pairs and the pair-field and the "$4k_F$" density correlations associated with pair density fluctuations decay as power laws, while the "$2k_F$" charge density wave correlations decay exponentially. We discuss the behavior of the exponents of the pairing and density correlations within this spin gapped phase. Additional one-band Luttinger liquid phases which occur in the large interband hopping regime are also discussed.

14 pages, 18 figures, uses Revtex with epsfig to include the figures

References in corpus (5)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Properties of lightly doped t-J two-leg ladders
• SPIN AND CHARGE MODES OF THE t-J LADDER
• Dynamical Properties of Two Coupled Hubbard Chains at Half-filling

Cited by in corpus (85)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Matrix Product State applications for the ALPS project
• d_{x^2-y^2}-wave superconductivity and the Hubbard model
• Theory of Bosons in two-leg ladders with large magnetic fields
• Pair Correlations in Doped Hubbard Ladders
• Possible high $T_c$ superconductivity mediated by antiferromagnetic spin fluctuations in systems with Fermi surface pockets
• Entanglement Hamiltonian of Interacting Fermionic Models
• Generalized two-leg Hubbard ladder at half-filling: Phase diagram and quantum criticalities
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
• Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder
• Hubbard ladders at small $U$ revisited
• Numerical Studies of the two-leg Hubbard ladder
• DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling
• Charge-order transition in the extended Hubbard model on a two-leg ladder
• On the metal-insulator transition in the two-chain model of correlated fermions
• Enhanced Pairing in the "Checkerboard" Hubbard Ladder
• Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers
• Critical role of the sign structure in the doped Mott insulator: Superconductivity vs. Fermi liquid
• Spin polarization in the Hubbard model with Rashba spin-orbit coupling on a ladder
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Dynamical Spin Response of Doped Two-Leg Hubbard-like Ladders
• Correlated-Electron Systems and High Temperature Superconductivity
• Quantum Monte Carlo diagonalization for many-fermion systems
• Enhanced Bound State Formation in Two Dimensions via Stripe-Like Hopping Anisotropies
• Cavity-induced superconducting and $4k_F$ charge-density-wave states
• Magnetic excitation spectra of strongly correlated quasi-one dimensional systems: Heisenberg versus Hubbard-like behavior
• Finite wave vector pairing in doped two-leg ladders
• Robust superconducting correlation against inter-site interactions in the extended two-leg Hubbard ladder
• Phase Diagram of Coupled Ladders
• Brane parity orders in the insulating state of Hubbard ladders
• Correlations and Renormalization of the Electron-Phonon Coupling in the Honeycomb Hubbard Ladder and Superconductivity in Polyacene
• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• Photoinduced correlated electron dynamics in a two-leg ladder Hubbard system
• Finite Projected Entangled Pair States for the Hubbard model
• Reexamining doped two-legged Hubbard ladders
• Pairing correlation in the two- and three-leg Hubbard ladders --- Renormalization and quantum Monte Carlo studies
• Matrix product state recursion methods for strongly correlated quantum systems
• Anomalous behaviors of the charge and spin degrees of freedom in the CuO double chains of PrBa${}_2$Cu${}_4$O${}_8$
• Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder
• Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Quantum magnetism of iron-based ladders: Blocks, spirals, and spin flux
• Extracting the Speed of Light from Matrix Product States
• Dynamically enhanced unconventional superconducting correlations in a Hubbard ladder
• How quantum phases on cylinders approach the 2d limit
• Comparison of one-dimensional and quasi-one-dimensional Hubbard models from the variational two-electron reduced-density-matrix method
• The Two-Band Luttinger Liquid with Spin-Orbit Coupling: Applications to Monatomic Chains on Surfaces
• Absence of Luther-Emery Superconducting Phase in the Three-Band Model for Cuprate Ladders
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping
• Phase diagram of the two-chain Hubbard model
• Topological chiral currents in the Gross-Neveu model extension
• Single-particle spectral function of quarter-filled ladder systems
• Correlation exponent K_rho of the one-dimensional Kondo lattice model
• Atomic lattice excitons: from condensates to crystals
• Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Bipolaronic charge excitations in t-J two-leg ladders
• Helical currents in metallic Rashba strips
• Recurrent Variational Approach to the Two-Leg Hubbard Ladder
• Charge-density waves in the Hubbard chain: evidence for 4k_F instability
• Hierarchy of relevant couplings in perturbative renormalization group transformations
• Many-body effects on high-harmonic generation in Hubbard ladders
• Exact ground and excited states of a t-J ladder doped with two holes
• Energy dependence of commensurate neutron scattering peak in doped two-leg ladder antiferromagnet Sr_{14-x}Ca_{x}Cu_{24}O_{41}
• Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model
• Doping asymmetry in the three-band Hamiltonian for cuprate ladders: failure of the standard model of superconductivity in cuprates
• Strongly correlated ladders in K-doped $p$-terphenyl crystals
• Continuous Wigner-Mott transition at $\nu =1/5$
• Luther-Emery liquid and dominant singlet superconductivity in the hole-doped Haldane spin-1 chain
• Entanglement studies of interacting fermionic models
• Two-leg fermionic Hubbard ladder system in the presence of state-dependent hopping
• Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices
• Unconventional superfluidity in quasi-one-dimensional systems
• Role of Umklapp Processes in Conductivity of Doped Two-Leg Ladders
• Dimerization-induced enhancement of the spin gap in the quarter-filled two-leg rectangular ladder
• Weak-coupling phase diagrams of bond-aligned and diagonal doped Hubbard ladders
• Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit
• Single and Many Particle Correlation Functions and Uniform Phase Bases for Strongly Correlated Systems
• Charge and spin dynamics of the Hubbard chains
• Dynamical correlations and nonequilibrium sum rules in photodoped Hubbard ladders
• Competition Between Charge-Density Waves and Superconductivity in Striped Systems