Critical behavior of a quantum chain with four-spin interactions in the presence of longitudinal and transverse magnetic fields
arXiv:1408.1890 · doi:10.1103/PhysRevE.89.032143
Abstract
We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling methods to obtain the phase diagrams of the model. Our numerical calculations reveal a rich variety of phases and the existence of multi-critical points in the system. We identify phases with both ferromagnetic and anti-ferromagnetic orderings. We also find periodically modulated orderings formed by a cluster of like-spins followed by another cluster of opposite like-spins. The quantum phases in the model are found to be separated by either first or second order transition lines.
arXiv comment6 pages, 5 figures
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Cited by in corpus (4)
- Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field
- Dynamics of the quantum search and quench-induced first-order phase transitions
- Quantum fidelity approach to the ground state properties of the 1D ANNNI model in a transverse field
- Coexistence of spontaneous dimerization and magnetic order in a transverse-field Ising ladder with four-spin interactions