Batrouni G G, Hébert F, Scalettar R T
Institut Non-Linéaire de Nice, UMR 6618 CNRS, Université de Nice-Sophia Antipolis, 1361 route des Lucioles, 06560 Valbonne, France.
Phys Rev Lett. 2006 Aug 25;97(8):087209. doi: 10.1103/PhysRevLett.97.087209.
We present results of quantum Monte Carlo simulations for the soft-core extended bosonic Hubbard model in one dimension exhibiting the presence of supersolid phases similar to those recently found in two dimensions. We find that in one and two dimensions, the insulator-supersolid transition has dynamic critical exponent z = 2 whereas the first order insulator-superfluid transition in two dimensions is replaced by a continuous transition with z = 1 in one dimension. We present evidence that this transition is in the Kosterlitz-Thouless universality class and discuss the mechanism behind this difference. The simultaneous presence of two types of quasi-long-range order results in two solitonlike dips in the excitation spectrum.
我们展示了一维软核扩展玻色-哈伯德模型的量子蒙特卡罗模拟结果，该模型呈现出与最近在二维中发现的类似超固相的存在。我们发现，在一维和二维中，绝缘体-超固相转变具有动态临界指数z = 2，而二维中的一阶绝缘体-超流体转变在一维中被z = 1的连续转变所取代。我们提供证据表明，这种转变属于科斯特利茨- Thouless普适类，并讨论了这种差异背后的机制。两种准长程序的同时存在导致激发谱中出现两个类似孤子的凹陷。
