Thermal Kosterlitz-Thouless transitions in the $1/r^2$ long-range ferromagnetic quantum Ising chain revisited

Abstract

For the inverse square long-range ferromagnetic Ising chain in a transverse field, the thermal phase boundary of the floating Kosterlitz-Thouless phase is obtained for several values of the transverse field down to the quantum critical point. The sharp domain walls in the classical model are increasingly smeared out by the transverse field, which is evidenced by a pronounced broadening of the non-universal bump in the specific heat. The discernability of KT critical scaling in finite-size simulations is discussed.

11 pages, 9 figures

References in corpus (3)

• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Order-N Cluster Monte Carlo Method for Spin Systems with Long-range Interactions

Cited by in corpus (4)

• Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
• Neural-network quantum state study of the long-range antiferromagnetic Ising chain
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain
• Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain