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.

中文翻译：

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重新审视 1/r 2 长程铁磁量子 Ising 链中的热 Kosterlitz-Thouless 跃迁

对于横向场中的反平方长程铁磁 Ising 链，对于向下到量子临界点的横向场的几个值，获得了浮动 Kosterlitz-Thouless 相的热相边界。经典模型中的尖锐畴壁越来越多地被横向场涂抹，这可以通过比热中非普遍凸起的显着展宽来证明。讨论了有限尺寸模拟中 KT 临界缩放的可辨别性。