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

Abstract

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 $1/T_1$.

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

References in corpus (5)

• NMR study of the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4 : Quantum phase transition and critical dynamics
• Spin gap in the Quasi-One-Dimensional S=1/2 Antiferromagnet: Cu2(1,4-diazacycloheptane)2Cl4
• Identification of Nuclear Relaxation Processes in a Gapped Quantum Magnet: Proton NMR in the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4
• Ground-state magnetization curve of a generalized spin-1/2 ladder
• Lattice Instability in the Spin-Ladder System under Magnetic Field

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• Dynamical spin correlations in Heisenberg ladder under magnetic field and correlation functions in SO(5) ladder
• Luttinger liquid behavior in spin chains with a magnetic field
• Magnetization plateau in the S=1/2 spin ladder with alternating rung exchange
• Incommensurate state in a quasi-one-dimensional $S=1/2$ bond-alternating antiferromagnet with frustration in magnetic fields
• Magnetic field induced phase transitions in spin ladders with ferromagnetic legs
• NMR relaxation rate of (quasi-)one-dimensional spin gapped systems in magnetic fields
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Magnetic phase diagram of the dimerized spin $S=1/2$ ladder
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• Magnetic phase diagram of a spin S=1/2 antiferromagnetic two-leg ladder in the presence of modulated along legs Dzyaloshinskii-Moriya interaction
• Spin Ladder with Anisotropic Ferromagnetic Legs in a Transverse Magnetic Field
• NMR relaxation of quantum spin chains in magnetic fields
• Concurrence and entanglement entropy in a dimerized spin-1/2 two-leg ladder
• One-dimensional spin-1/2 Heisenberg antiferromagnet in a weak external magnetic field
• Possibility of field-induced incommensurate order in quasi-one-dimensional frustrated spin system
• Magnetostriction in an array of spin chains under magnetic field