Quantum Ising model in a transverse random field: A density-matrix renormalization group analysis

Abstract

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is increased. The dependence of the magnetization on a uniform magnetic field in the z direction and the spontaneous magnetization as a function of the amplitude of the transverse random magnetic field are determined. The behavior of the spin-spin correlation function both above and at criticality is studied. The scaling laws for magnetization and correlation functions are tested against previous numerical and renormalization-group results.

5 pages with 7 figures inside them, proper format of authors' names used

References in corpus (1)

• One-dimensional Kondo lattice at partial band filling

Cited by in corpus (9)

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• Ground state of the random-bond spin-1 Heisenberg chain
• Entanglement renormalization for disordered systems
• Critical Behavior of the Random Potts Chain
• Antiferromagnetic integer-spin chains in a staggered magnetic field: approaching the thermodynamic limit through the infinite-size DMRG
• Adaptive Density-Matrix Renormalization-Group study of the disordered antiferromagnetic spin-1/2 Heisenberg chain