Ground State Properties of the Two-Dimensional t-J Model

Abstract

The two-dimensional $t$-$J$ model in the ground state is investigated by the power Lanczos method. The pairing-pairing correlation function for $d_{x^2-y^2}$-wave symmetry is enhanced in the realistic parameter regime for high-$T_c$ superconductors. The charge susceptibility ${\chi }_c$ shows divergent behavior as ${\chi }_c\propto {\delta }^{-1}$ near half-filling for the doping concentration $\delta$, indicating that the value of the dynamical exponent $z$ is four under the assumption of hyperscaling. The peak height of the spin structure factor $S_{max}(Q)$ also behaves as $S_{max}(Q)\propto {\delta }^{-1}$ near half-filling, which leads to the divergence of the antiferromagnetic correlation length ${\xi }_m$ as ${\xi }_m\propto {\delta }^{-1/2}$. The boundary of phase separation is estimated on the basis of the Maxwell construction. Numerical results are compared with experimental features observed in high-$T_c$ cuprates.

15 pages, RevTex, 12 PostScript figures, to appear in Phys.Rev.B

References in corpus (3)

• Insulator-Metal Transition in the One and Two-Dimensional Hubbard Models
• Phase diagram of the two-dimensional t--J model at low doping
• Two-Dimensional t-J Model at Low Electron Density

Cited by in corpus (32)

• Competing states in the t-J model: uniform d-wave state versus stripe state
• Phase separation and stripe formation in the 2D t-J model: a comparison of numerical results
• Phase separation at all interaction strengths in the t-J model
• Stripes and the t-J model
• Universality Classes of Metal-Insulator Transitions in Strongly Correlated Electron Systems and Mechanism of High-Temperature Superconductivity
• Mott Transition in the Two-Dimensional Hubbard Model
• Charge fluctuations close to phase separation in the two dimensional t-J model
• Spatially homogeneous ground state of the two-dimensional Hubbard model
• Green's Function Monte Carlo for Lattice Fermions: Application to the t-J Model
• Phase Separation of the Two-Dimensional t-J model
• Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping
• Finite compressibility in the low-doping region of the two-dimensional $t-J$ model
• From antiferromagnetism to d-wave superconductivity in the 2D t-J model
• Phase separation in t-J ladders
• Studies of one- and two-hole states in the 2D t-J model via series expansions
• Aspects of the ground state of the $U=\infty$ Hubbard ladder
• Quantum Mott Transition and Multi-Furcating Criticality
• Limits on Phase Separation for Two-Dimensional Strongly Correlated Electrons
• Dynamic Exponent of t-J and t-J-W Model
• Spectral properties near the Mott transition in the two-dimensional t-J model
• Doping induced metal-insulator transition in two-dimensional Hubbard, $t-U$, and extended Hubbard, $t-U-W$, models
• Optical Conductivity of the Two-Dimensional Hubbard Model
• Relationship between single-particle excitation and spin excitation at the Mott Transition
• Phase Separation Based on U(1) Slave-boson Functional Integral Approach to the t-J Model
• Charge susceptibility in the t-J model
• Revisit Phase Separation of the Two-Dimensional $t-J$ model by the Power-Lanczos Method
• Development of superconducting correlation at low temperatures in the two-dimensional t-J model
• d=3 Anisotropic and d=2 tJ Models: Phase Diagrams, Thermodynamic Properties, and Chemical Potential Shift
• Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders
• Effect of frustration on charge dynamics for a doped two-dimensional triangular Hubbard lattice: Comparison with a square lattice
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Multiple Histogram Method for Quantum Monte Carlo