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In this work, we define and calculate critical exponents associated with higher order thermodynamic phase transitions. Such phase transitions can be classified into two classes: with or without a local order parameter. For phase transitions…

统计力学 · 物理学 2021-10-01 Joydeep Chakravarty , Diksha Jain

We investigate the critical behavior of continuous phase transitions in the context of Ginzburg Landau models with a double well effective potential. In particular, we show that the recently proposed configurational entropy, a measure of…

统计力学 · 物理学 2020-12-10 Marcelo Gleiser , Damian Sowinski

The classical dimer model on the cubic lattice hosts a columnar ordered phase and a disordered Coulomb phase, separated by a continuous phase transition that lies beyond the conventional Landau-Ginzburg-Wilson paradigm. While its…

统计力学 · 物理学 2026-05-18 Hu-Xiao Peng , Zheng Yan , Shuai Yin

We investigate the critical behaviour of the $N$-component Euclidean $\lambda \phi^4$ model at leading order in $\frac{1}{N}$-expansion. We consider it in three situations: confined between two parallel planes a distance $L$ apart from one…

数学物理 · 物理学 2009-11-11 L. M. Abreu , C. de Calan , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

强关联电子 · 物理学 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

Higher-order vertices at zero external momenta for the scalar field theory describing the critical behaviour of the Ising model are studied within the field-theoretical renormalization group (RG) approach in three dimensions. Dimensionless…

统计力学 · 物理学 2007-05-23 A. I. Sokolov , V. A. Ul'kov , E. V. Orlov

We have calculated the five-loop RG expansions of the $n$-component A model of critical dynamics in dimensions $d=4-\varepsilon$ within the Minimal Subtraction scheme. This is made possible by using the advanced diagram reduction method and…

Six-loop massive scheme renormalization group functions of a d=3-dimensional cubic model (J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B vol. 61, 15136 (2000)) are reconsidered by means of the pseudo-epsilon expansion. The…

统计力学 · 物理学 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

We reconsider critical properties of O(N) scalar models with cubic interactions in $d>4$ dimensions using functional renormalization group equations. Working at next-to-leading order in the derivative expansion, we find non-trivial IR fixed…

高能物理 - 理论 · 物理学 2016-04-19 Kazuhiko Kamikado , Takuya Kanazawa

We compute the transition temperature $T_c$ and the Ginzburg temperature $T_{\rm G}$ above $T_c$ near a quantum critical point at the boundary of an ordered phase with a broken discrete symmetry in a two-dimensional metallic electron…

强关联电子 · 物理学 2011-08-18 J. Bauer , P. Jakubczyk , W. Metzner

We present the critical theory of a number of zero temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the transition of the S = 1/2 square lattice…

强关联电子 · 物理学 2007-05-23 T. Senthil , Leon Balents , Subir Sachdev , Ashvin Vishwanath , Matthew P. A. Fisher

The temperature dependence of the upper critical field ($H_{c2}$) in RbCr$% _{3}$As$_{3}$ single crystals ($T_{c}\approx $ 7.3 K) has been determined by means of magnetoresistance measurements with temperature down to 0.35 K in static…

超导电性 · 物理学 2019-12-25 Qimei Liang , Tong Liu , Chuanying Xi , Yuyan Han , Gang Mu , Li Pi , Zhi-An Ren , Zhaosheng Wang

Following on from our previous work [Phys. Rev. Lett. 98, 166801 (2007)] we examine the finite temperature magnetothermoelectric response in the vicinity of a quantum critical point (QCP). We begin with general scaling considerations…

强关联电子 · 物理学 2009-11-13 M. J. Bhaseen , A. G. Green , S. L. Sondhi

An introduction to the theory of critical behavior at Lifshitz points is given, and the recent progress made in applying the field-theoretic renormalization group (RG) approach to $\phi^4$ $n$-vector models representing universality classes…

统计力学 · 物理学 2007-05-23 H. W. Diehl

We present a functional renormalization group calculation of the properties of a quantum critical metal in $d=2$ spatial dimensions. Our theory describes a general class of Pomeranchuk instabilities with $N_b$ flavors of boson. At small…

强关联电子 · 物理学 2018-12-05 Matthew J. Trott , Chris A. Hooley

We studied the phase diagram of Sr$_3$Ru$_2$O$_7$ by means of heat capacity and magnetocaloric effect measurements at temperatures as low as 0.06 K and fields up to 12 T. We confirm the presence of a new quantum critical point at 7.5 T…

强关联电子 · 物理学 2018-03-20 Dan Sun , Andreas Rost , Robin Perry , Andrew Mackenzie , Manuel Brando

We study the phase diagram of $N_f = 2+1$ QCD in the $T - \mu_B$ plane and investigate the critical point corresponding to the onset of the Roberge-Weiss transition, which is found for imaginary values of $\mu_B$. We make use of stout…

高能物理 - 格点 · 物理学 2016-04-13 Claudio Bonati , Massimo D'Elia , Marco Mariti , Michele Mesiti , Francesco Negro , Francesco Sanfilippo

Heat bath Monte Carlo simulations have been used to study a 12-state discretized Heisenberg model with a new type of random field on simple cubic lattices of size $128 \times 128 \times 128$. The 12 states correspond to the [110] directions…

无序系统与神经网络 · 物理学 2022-01-04 Ronald Fisch

The zero temperature phase diagram of a one-dimensional S=2 Heisenberg ferromagnet with single-ion cubic anisotropy is studied numerically using the density-matrix renormalization group method. Evidence is found that although the model does…

凝聚态物理 · 物理学 2009-10-31 M. Dudzinski , G. Fath , J. Sznajd

Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

统计力学 · 物理学 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster