Critical properties of S=1/2 Heisenberg ladders in magnetic fields

Details Critical properties of S=1/2 Heisenberg ladders in magnetic fields Critical properties of S=1/2 Heisenberg ladders in magnetic fields

1998-09-04

arxiv.org/abs/cond-mat/9809088v1

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX, 10 pages, 8 figures, accepted for Phys. Rev. B

Scientific paper

10.1103/PhysRevB.58.14401

The critical properties of the $S=1/2$ Heisenberg two-leg ladders are investigated in a magnetic field. Combining the exact diagonalization method and the finite-size-scaling analysis based on conformal field theory, we calculate the critical exponents of spin correlation functions numerically. For a strong interchain coupling, magnetization dependence of the critical exponents shows characteristic behavior depending on the sign of the interchain coupling. We also calculate the critical exponents for the $S=1/2$ Heisenberg two-leg ladder with a diagonal interaction, which is thought as a model Hamiltonian of the organic spin ladder compound ${Cu}_2({1,4-diazacycloheptane})_2{Cl}_4$. Numerical results are compared with experimental results of temperature dependence of the NMR relaxation rate $1/T_1$.

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