Direct Calculation of Spin-Stiffness for Spin-1/2 Heisenberg Models

Abstract

The spin-stiffness of frustrated spin-1/2 Heisenberg models in one and two dimensions is computed for the first time by exact diagonalizations on small clusters that implement spin-dependent twisted boundary conditions. Finite-size extrapolation to the thermodynamic limit yields a value of $0.14\pm 0.01$ for the spin-stiffness of the unfrustrated planar antiferromagnet. We also present a general discussion of the linear-response theory for spin-twists, which ultimately leads to the moment sum-rule.

11 pgs, TeX, LA-UR-94-94 (to be published in Phys. Rev. B)

References in corpus (1)

• Spin liquid phase for the frustrated Quantum Heisenberg Antiferromagnet on a square lattice

Cited by in corpus (23)

• Finite-temperature transport in one-dimensional quantum lattice models
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Direct Calculation of the Spin Stiffness in the $J_1$--$J_2$ Heisenberg Antiferromagnet
• Transport and Control in One-Dimensional Systems
• Direct calculation of the spin stiffness on square, triangular and cubic lattices using the coupled cluster method
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Conductivity of quantum-spin chains: A Quantum Monte Carlo approach
• Two-dimensional randomly-frustrated spin 1/2 Heisenberg model
• Transport in dimerized and frustrated spin systems
• Charge and Spin Transport in the One-dimensional Hubbard Model
• Weakly frustrated two-dimensional Heisenberg antiferromagnets: thermodynamic properties from a non-perturbative approach
• Decoupling of the S=1/2 antiferromagnetic zig-zag ladder with anisotropy
• Spin Stiffness of Mesoscopic Quantum Antiferromagnets
• Crossover from Spin-Density-Wave to Neel-like Ground state
• Metallic Surface Reconstruction Driven by Frustrated Antiferromagnetism
• Random Frustration in two-dimensional spin-1/2 Heisenberg antiferromagnet
• Effective action approach to a bi-layer frustrated antiferromagnet
• Manipulation of the dynamics of many-body systems via quantum control methods
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• The anisotropic Heisenberg model close to the Ising limit: triangular lattice vs. effective models