Finite-size scaling of O(n) systems at the upper critical dimensionality.
Finite-size scaling of O(n) systems at the upper critical dimensionality.
复制标题
DOI：
10.1093/nsr/nwaa212
复制
发表时间：
2021-03
影响因子：
20.6
通讯作者：
Deng Y
中科院分区：
文献类型：
--
作者：
Lv JP;Xu W;Sun Y;Chen K;Deng Y
Logarithmic finite-size scaling of the O(n) universality class at the upper critical dimensionality (dc = 4) has a fundamental role in statistical and condensed-matter physics and important applications in various experimental systems. Here, we address this long-standing problem in the context of the n-vector model (n = 1, 2, 3) on periodic four-dimensional hypercubic lattices. We establish an explicit scaling form for the free-energy density, which simultaneously consists of a scaling term for the Gaussian fixed point and another term with multiplicative logarithmic corrections. In particular, we conjecture that the critical two-point correlation g(r, L), with L the linear size, exhibits a two-length behavior: follows governed by the Gaussian fixed point at shorter distances and enters a plateau at larger distances whose height decays as with a logarithmic correction exponent. Using extensive Monte Carlo simulations, we provide complementary evidence for the predictions through the finite-size scaling of observables, including the two-point correlation, the magnetic fluctuations at zero and nonzero Fourier modes and the Binder cumulant. Our work sheds light on the formulation of logarithmic finite-size scaling and has practical applications in experimental systems.
登录
查看更多内容
影响因子：
2.8
作者：
Berche, B.;Kenna, R.;Walter, J. -C.
通讯作者：
Walter, J. -C.
影响因子：
64.8
作者：
Greiner, M;Mandel, O;Bloch, I
通讯作者：
Bloch, I
影响因子：
3.3
作者：
AIZENMAN, M
通讯作者：
AIZENMAN, M
影响因子：
8.6
作者：
Grimm, Jens;Elci, Eren Metin;Deng, Youjin
通讯作者：
Deng, Youjin
影响因子：
2.8
作者：
Jensen, LM;Kim, BJ;Minnhagen, P
通讯作者：
Minnhagen, P