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.

arXiv comment11 pages, 9 figures

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Cited by in corpus (6)

• Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations
• Finite-temperature critical behavior of long-range quantum Ising models
• 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