Critical exponent in the magnetization curve of quantum spin chains

Abstract

The ground state magnetization curve around the critical magnetic field $H_c$ of quantum spin chains with the spin gap is investigated. We propose a size scaling method to estimate the critical exponent $\delta$ defined as $m\sim |H-H_c{|}^{1/\delta }$ from finite cluster calculation. The applications of the method to the S=1 antiferromagnetic chain and S=1/2 bond alternating chain lead to a common conclusion $\delta =2$. The same result is derived for both edges of the magnetization plateau of the S=3/2 antiferromagnetic chain with the single ion anisotropy.

4 pages, Revtex, with 4 eps figures

References in corpus (2)

• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• Experimental Verification of the Gapless Point in the $S$=1 Antiferromagnetic Bond Alternating Chain

Cited by in corpus (20)

• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Magnetic field effects on two-leg Heisenberg antiferromagnetic ladders: Thermodynamic properties
• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• Magnetization Properties of Some Quantum Spin Ladders
• Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet
• Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets
• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
• Anisotropic Antiferromagnetic Spin Chains in a Transverse Field: Reentrant Behavior of the Staggered Magnetization
• Field-driven phase transitions in a quasi-two-dimensional quantum antiferromagnet
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Quantum spin chains in a magnetic field
• Luttinger liquid behavior in spin chains with a magnetic field
• Field induced transition of the S=1 antiferromagnetic chain with anisotropy
• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Spin Ladder with Anisotropic Ferromagnetic Legs in a Transverse Magnetic Field
• Metamagnetism of antiferromagnetic XXZ quantum spin chains
• Spin nematic states in antiferromagnets containing ferromagnetic bonds
• Spin nematic states in spin-1 antiferromagnets with easy-axis anisotropy