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The Marginally Rigid State is a candidate paradigm for what makes granular material a state of matter distinct from both liquid and solid. Coordination number is identified as a discriminating characteristic, and for rough-surfaced…

统计力学 · 物理学 2007-05-23 R. C. Ball , R. Blumenfeld

We discuss general aspects of renormalization group (RG) flows between two conformal fixed points in 4d with a broken continuous global symmetry in the UV. Every such RG flow can be described in terms of the dynamics of Nambu-Goldstone…

高能物理 - 理论 · 物理学 2021-12-06 Sandipan Kundu

The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied numerically using path-integral Monte Carlo methods. The advantage of our approach is that the system allows for extensive analyses of charge and spin conductance…

介观与纳米尺度物理 · 物理学 2009-11-13 Yuji Hamamoto , Ken-Ichiro Imura , Takeo Kato

We show that renormalization group (RG) theory applied to complex networks are useful to classify network topologies into universality classes in the space of configurations. The RG flow readily identifies a small-world/fractal transition…

无序系统与神经网络 · 物理学 2010-01-30 Hernán D. Rozenfeld , Chaoming Song , Hernán A. Makse

We study numerically the roughening properties of an interface in a two-dimensional Ising model with either random bonds or random fields, which are representative of universality classes where disorder acts only on the interface or also…

统计力学 · 物理学 2016-04-28 Federico Corberi , Eugenio Lippiello , Marco Zannetti

Using stability arguments, this Brief Report suggests that a term that enhances the surface tension in the presence of large height fluctuations should be included in the Kardar-Parisi-Zhang equation. A one-loop renormalization group…

统计力学 · 物理学 2009-10-28 Barbara Drossel

The wrinkling transition experimentally identified by Mutz et al. [Phys. Rev. Lett. 67, 923 (1991)] and then thoroughly studied by Chaieb et al. [Phys. Rev. Lett. 96, 078101 (2006)] in partially polymerized lipid membranes is reconsidered.…

软凝聚态物质 · 物理学 2020-04-15 O. Coquand , K. Essafi , J. -P. Kownacki , D. Mouhanna

We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

偏微分方程分析 · 数学 2016-06-29 Angkana Rüland

The random disorder can drastically change the melting scenario of two-dimensional systems and has to be taken into account in the interpretation of the experimental results. We present the results of the molecular dynamics simulations of…

软凝聚态物质 · 物理学 2016-08-19 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

The advantages of using more than one renormalization group (RG) in problems with more than one important length scale are discussed. It is shown that: i) using different RG's can lead to complementary information, i.e. what is very…

高能物理 - 理论 · 物理学 2011-04-15 C. R. Stephens

We use a functional renormalization group (fRG) approach to investigate potential interaction-induced instabilities in a two-dimensional model for the Dirac nodal-line materials ZrSiS and ZrSiSe employing model parameters derived from {\it…

We consider the Lattice Gaussian free field in $d+1$ dimensions, $d=3$ or larger, on a large box (linear size $N$) with boundary conditions zero. On this field two potentials are acting: one, that models the presence of a wall, penalizes…

数学物理 · 物理学 2018-03-06 Giambattista Giacomin , Hubert Lacoin

The partition function of the two-dimensional Ising model is exactly obtained on a lattice with a twisted boundary condition. The continuum limit of the model off the critical temperature is found to give the mass-deformed Ising conformal…

高能物理 - 理论 · 物理学 2016-02-10 So Matsuura , Norisuke Sakai

In the rough phase, the width of interfaces separating different phases of statistical systems increases logarithmically with the system size. This phenomenon is commonly described in terms of the capillary wave model, which deals with…

统计力学 · 物理学 2013-06-17 Michael H. Köpf , Gernot Münster

In their Letter[Phys. Rev. Lett. 126, 106803 (2021)], the authors found an interesting reentrant localization phenomenon in a one-dimensional dimerized lattice with quasiperiodic disorder, i.e., the system undergoes a second localization…

无序系统与神经网络 · 物理学 2021-06-16 Longyan Gong , Hui Lu , Weiwen Cheng

We analyze renormalization group (RG) flows in two-dimensional quantum field theories in the presence of redundant directions. We use the operator picture in which redundant operators are total derivatives. Our analysis has three levels of…

高能物理 - 理论 · 物理学 2014-02-17 Nicolas Behr , Anatoly Konechny

Superconducting instability can occur in three-dimensional quadratic band crossing semimetals only at a finite coupling strength, due to the vanishing of density of states at the quadratic band touching point. Since realistic materials are…

强关联电子 · 物理学 2022-02-14 Ipsita Mandal

We revisit the critical behavior of classical frustrated systems using the nonperturbative renormalization group (NPRG) equation. Our study is performed within the local potential approximation of this equation to which is added the flow of…

统计力学 · 物理学 2016-04-11 Shunsuke Yabunaka , Bertrand Delamotte

Capturing the interplay between electronic correlations and many-particle entanglement requires a unified framework for Hamiltonian and eigenbasis renormalization. In this work, we apply the unitary renormalization group (URG) scheme…

强关联电子 · 物理学 2021-10-25 Anirban Mukherjee , Siddhartha Lal

We study transport properties of quantum impurity systems using the functional renormalization group. The latter is an RG-based diagrammatic tool to treat Coulomb interactions in a fast and flexible way. Prior applications, which employed a…

强关联电子 · 物理学 2010-09-21 C. Karrasch