Luttinger liquid behaviour and superconducting correlations in t-J ladders

Abstract

The low energy behaviour of the isotropic t--J ladder system is investigated using exact diagonalization techniques, specifically finding the Drude weight, the charge velocity and the compressibility. By applying the ideas of Luttinger liquid theory, we determine the correlation exponent $K_{\rho }$ which defines the behaviour of the long range correlations in the system. The boundary to phase separation is determined and a phase diagram is presented. At low electron density, a Tomonaga-Luttinger-like phase is stabilized whilst at higher electron densities a gapped phase with power law pairing correlations is stabilized: A large region of this gapped phase is found to exhibit dominant superconducting correlations.

6 pages revtex, 8 figures

References in corpus (2)

• Evidence for a superfluid density in t--J ladders
• SPIN AND CHARGE MODES OF THE t-J LADDER

Cited by in corpus (55)

• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• The N-chain Hubbard Model in Weak Coupling
• Absence of spin gap in the superconducting ladder compound Sr_2Ca_{12}Cu_{24}O_{41}
• Complete bond-operator theory of the two-chain spin ladder
• Dynamical properties of the spin-Peierls compound α'--NaV2O5
• The Magnetization of Cu_2(C_5H_{12}N_2)_2Cl_4 : A Heisenberg Spin Ladder System
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Quantum Monte Carlo study of the pairing correlation in the Hubbard ladder
• Electronic Structure of Ladder Cuprates
• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates
• Complete conformal classification of the Friedmann-Lemaitre-Robertson-Walker solutions with a linear equation of state
• Correlation functions in the three-chain Hubbard ladder
• Evolution of the Spin Gap Upon Doping a 2-Leg Ladder
• Superconducting gap for a 2-leg t-J ladder
• Quasiparticle collapsing in an anisotropic $t$-$J$ ladder
• Phase separation in t-J ladders
• Aspects of the ground state of the $U=\infty$ Hubbard ladder
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
• Resonant magnetic mode in superconducting 2-leg ladders
• Bipairing and the Stripe Phase in 4-Leg Ladders
• Phase Diagram of Coupled Ladders
• Breakdown of the Bloch-wave behavior for a single hole in a gapped antiferromagnet
• Intrinsic translational symmetry breaking in a doped Mott insulator
• Dimensional Crossovers in the Doped Ladder System: Spin Gap, Superconductivity and Interladder Coherent Band Motion
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Pairing correlation in the two- and three-leg Hubbard ladders --- Renormalization and quantum Monte Carlo studies
• Density-matrix renormalization group study of optical conductivity of the Mott insulator for two-dimensional clusters
• Enhancement of Pairing Correlation and Spin Gap through Suppression of Single-Particle Dispersion in One-Dimensional Models
• Studies of the t-J two-leg ladder via series expansions
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• Possible counterintuitive enhancement of superconductivity in ladder-type cuprates by longitudinal compression
• Phase diagram of three-leg ladders at strong coupling along the rungs
• Hole-Density Evolution of the One-Particle Spectral Function in Doped Ladders
• Superconductivity in the three-leg Hubbard ladder: a Quantum Monte Carlo study
• Nuclear Spin Relaxation in Hole Doped Two-Leg Ladders
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Strongly enhanced superconductivity in coupled t-J segments
• Quasi-excitations and superconductivity in the t-J model on a ladder
• Extended Aharonov-Bohm period analysis of strongly correlated electron systems
• Two-leg fermionic Hubbard ladder system in the presence of state-dependent hopping
• Two-Hole and Four-Hole Bound States in a t-J Ladder at half-filling
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• Complex Phase Diagram of Doped XXZ Ladder: Localization and Pairing
• Unconventional superfluidity in quasi-one-dimensional systems
• Spin-Charge Separation, Anomalous Scaling and the Coherence of Hopping in exactly solved Two Chain Models
• Lifshitz transition in the phase diagram of two-leg $t$-$J$ ladder systems at low filling
• The t-Jz ladder
• Low Energy Effective Action of Lightly Doped Two-Leg t-J Ladders
• Exactly Solvable Fermionic N-chain Models
• Superconductivuty versus Tunneling in a Doped Antiferromagnetic Ladder
• Competition Between Charge-Density Waves and Superconductivity in Striped Systems
• Resistivity of Doped Two-Leg Spin Ladders