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We consider a simple model consisting of particles with four bonding sites ("patches"), two of type A and two of type B, on the square lattice, and investigate its global phase behavior by simulations and theory. We set the interaction…

软凝聚态物质 · 物理学 2011-11-24 N. G. Almarza , J. M. Tavares , M. Simões , M. M. Telo da Gama

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an $N$-step directed one-dimensional random walk on the half-line…

统计力学 · 物理学 2026-01-06 Ruijie Xu , Sergei Nechaev

Building on recent advances in defining Wilsonian RG flows, and in particular the notion of scales, for background-independent theories, we present a first investigation of the renormalization of the 4d spin foam path integral for quantum…

广义相对论与量子宇宙学 · 物理学 2016-10-13 Benjamin Bahr , Sebastian Steinhaus

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

统计力学 · 物理学 2023-01-03 Sudip Mukherjee , Abhik Basu

We study quenched disordered polymerized membranes in their flat phase by means of a three-loop perturbative analysis performed in dimension $D = 4-\epsilon$. We derive the renormalization group equations at this order and solve them up to…

无序系统与神经网络 · 物理学 2022-12-14 S. Metayer , D. Mouhanna

Polymerized phantom membranes are revisited using a nonperturbative renormalization group approach. This allows one to investigate both the crumpling transition and the low-temperature, flat, phase in any internal dimension D and embedding…

统计力学 · 物理学 2009-11-13 J. -P. Kownacki , D. Mouhanna

We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

The existence of a depinning transition for a high dimensional interface in a weakly disordered medium is controversial. Following Larkin arguments and a perturbative expansion, one expects a linear response with a renormalized mobility…

无序系统与神经网络 · 物理学 2018-05-03 Xiangyu Cao , Vincent Démery , Alberto Rosso

We study elastic manifolds in a N-dimensional random potential using functional RG. We extend to N>1 our previous construction of a field theory renormalizable to two loops. For isotropic disorder with O(N) symmetry we obtain the fixed…

无序系统与神经网络 · 物理学 2009-11-11 Pierre Le Doussal , Kay Joerg Wiese

We study the interplay between surface roughening and phase separation during the growth of binary films. Renormalization group calculations are performed on a pair of equations coupling the interface height and order parameter…

统计力学 · 物理学 2009-11-10 Barbara Drossel , Mehran Kardar

Considering marginally relevant and relevant deformations of the weakly coupled $(3+1)$-dimensional large $N$ conformal gauge theories introduced in arXiv:2011.13981, we study the patterns of phase transitions in these systems that lead to…

高能物理 - 理论 · 物理学 2021-09-15 Soumyadeep Chaudhuri , Eliezer Rabinovici

This thesis comprises two parts centered around the functional renormalization-group framework: in the first part, I study the role of symmetries and conservation laws in approximate solutions, while in the second part I analyze Friedel…

强关联电子 · 物理学 2007-05-23 Tilman Enss

In a recent paper arXiv:2409.01034, Gong et al. studied the disorder effects in nodal-knot semimetal through Wilson momentum-shell renormalization group (RG) method. They stated that various nodal-knot transitions emerge driven by…

介观与纳米尺度物理 · 物理学 2024-10-11 Jing-Rong Wang

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

统计力学 · 物理学 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

The equilibrium and non--equilibrium disorder induced phase transitions are compared in the random-field Ising model (RFIM). We identify in the demagnetized state (DS) the correct non-equilibrium hysteretic counterpart of the T=0 ground…

统计力学 · 物理学 2009-11-10 F. Colaiori , M. J. Alava , G. Durin , A. Magni , S. Zapperi

We propose a modification of the non-perturbative renormalization-group (NPRG) which applies to lattice models. Contrary to the usual NPRG approach where the initial condition of the RG flow is the mean-field solution, the lattice NPRG uses…

统计力学 · 物理学 2010-11-16 T. Machado , N. Dupuis

We study four-lead junction of semi-infinite wires by using fermionic representation in the scattering state formalism. The model of spinless fermions with short-range Luttinger liquid type interaction is used. We find the renormalization…

强关联电子 · 物理学 2015-11-10 D. N. Aristov , R. A. Niyazov

Using a new approximate strong-randomness renormalization group (RG), we study the many-body localized (MBL) phase and phase transition in one-dimensional quantum systems with short-range interactions and quenched disorder. Our RG is built…

统计力学 · 物理学 2019-06-25 Alan Morningstar , David A. Huse

As pointed out by Linus Pauling in his classic work on the relationship between crystal packing and ionic radius ratio, a difference in atomic size can be accommodated more readily by an ordered structure than by a disordered one. Because…

材料科学 · 物理学 2007-05-23 Dean J. Lee , Jong K. Lee

We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

强关联电子 · 物理学 2015-06-05 D. N. Aristov , P. Wölfle