SCALING LAW OF SUPERFLUID–INSULATOR TRANSITION IN THE 1D BOSE–HUBBARD MODEL
SCALING LAW OF SUPERFLUID–INSULATOR TRANSITION IN THE 1D BOSE–HUBBARD MODEL
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一维 BOSE-HUBBARD 模型中超流体-绝缘体转变的标度定律
DOI：
10.1142/s0217979211102228
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Hai
中科院分区：
文献类型：
--
作者：
S. Gu;Junpeng Cao;Shu Chen;Hai
研究了一维Bose-Hubbard模型中超流-绝缘体相变的有限尺度标度行为。结果表明，有限尺寸系统的超流密度在一定的相互作用Um处有最大值，超流密度的导数在一定的相互作用Ud处有最小值。临界点Uc可以通过Um或Ud的标度分析来量化。转变点Um从U Uc的区域趋向于临界点Uc。转捩点Um和Ud满足不同的有限尺度标度律，具有不同的临界指数。在临界点处，超流密度的发散速度远小于其导数的发散速度。
The finite size scaling behavior of superfluid–insulator transition in the one-dimensional Bose–Hubbard model is studied. It is shown that the superfluid density of the system with finite size has a maximum at a certain interaction Um and the derivative of superfluid density has a minimum at a certain interaction Ud. The critical point Uc can be quantified by the scaling analysis of either Um or Ud. The transition point Um tends to the critical point Uc from the region of U Uc. The transition points Um and Ud satisfy different finite size scaling laws and have the different critical exponents. The divergence speed of the superfluid density is much smaller than that of its derivative at the critical point.
双组分玻色和费米气体中的自发布居不平衡
影响因子：
2.9
作者：
Shintaro Takayoshi;Masahiro Sato;Shunsuke Furukawa
通讯作者：
Shunsuke Furukawa