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Lifshitz transitions in two 2D systems with a single quadratic band touching point as the chemical potential is varied have been studied here. The effects of interactions have been studied using the renormalization group (RG) and it is…

强关联电子 · 物理学 2021-05-19 Jeet Shah , Subroto Mukerjee

One-dimensional strongly correlated electron systems coupled via transverse hopping and presence of interband interactions can converge to a Luttinger liquid state or diverge to an even more intricate behavior, as a Mott state. Explicit…

强关联电子 · 物理学 2015-01-06 Thiago Prudencio

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

凝聚态物理 · 物理学 2009-10-22 Heiko Leschhorn

It is demonstrated that the renormalization group (RG) flows of depinning transitions do not depend on whether the driving force or the system velocity is kept constant. This allows for a comparison between RG results and corresponding…

凝聚态物理 · 物理学 2009-10-31 Onuttom Narayan

We present real--space renormalization group (RG) calculations of the critical properties of the random--field Ising model on a cubic lattice in three dimensions. We calculate the RG flows in a two--parameter truncation of the Hamiltonian…

凝聚态物理 · 物理学 2009-10-22 M. E. J. Newman , B. W. Roberts , G. T. Barkema , J. P. Sethna

Phase transitions of the $J_1$-$J_2$ Ising model on a square lattice are studied using the higher-order tensor renormalization group(HOTRG) method. This system involves a competition between the ferromagnetic interaction $J_1$ and…

统计力学 · 物理学 2023-03-15 Kota Yoshiyama , Koji Hukushima

This paper continues a study initiated in [34], on the localization transition of a lattice free field on $\mathbb Z^d$ interacting with a quenched disordered substrate that acts on the interface when its height is close to zero. The…

数学物理 · 物理学 2016-02-17 Hubert Lacoin

We analyze the renormalization-group (RG) flows of two effective Lagrangians, one for measurement induced transitions of monitored quantum systems and one for entanglement transitions in random tensor networks. These Lagrangians, previously…

统计力学 · 物理学 2024-09-20 Adam Nahum , Kay Joerg Wiese

The ``crumpling" transition, between rigid and crumpled surfaces, has been object of much discussion over the past years. The common lore is that such transition should be of second order. However, some lattice versions of the rigidity term…

高能物理 - 格点 · 物理学 2009-10-22 M. Baig , D. Espriu

The vortex lattice is an ideal system to study the competition and interplay between interaction and disorder. New results on 2H-NbSe_2 (in samples of progressively increasing pinning) elucidate how pinning alters the phase boundary…

超导电性 · 物理学 2008-02-03 S. S. Banerjee

We present a functional renormalization group (FRG) analysis of a Landau-Ginzburg model of type-II superconductors (generalized to $n/2$ complex fields) in a magnetic field, both for a pure system, and in the presence of quenched random…

凝聚态物理 · 物理学 2009-10-28 M. A. Moore , T. J. Newman

Exploring and understanding topological phases in systems with strong distributed disorder requires developing fundamentally new approaches to replace traditional tools such as topological band theory. Here, we present a general real-space…

无序系统与神经网络 · 物理学 2024-04-25 Zhe Zhang , Yifei Guan , Junda Wang , Benjamin Apffel , Aleksi Bossart , Haoye Qin , Oleg V. Yazyev , Romain Fleury

The pinning of flux lattices by weak impurity disorder is studied in the absence of free dislocations using both the gaussian variational method and, to $O(\epsilon=4-d)$, the functional renormalization group. We find universal logarithmic…

凝聚态物理 · 物理学 2009-10-22 T. Giamarchi , P. Le Doussal

Using the mapping of the partition function of the two-dimensional Ising model onto a pfaffian we evaluate the domain wall free energy difference for the pure and disordered Ising model close to the pure fixed point. Using this method very…

无序系统与神经网络 · 物理学 2007-05-23 Erik S. Sorensen

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits…

无序系统与神经网络 · 物理学 2009-11-11 Gregory Schehr , Pierre Le Doussal

Scaling concepts and renormalization group (RG) methods are applied to a simple linear model of human posture control consisting of a trembling or quivering string subject to damping and restoring forces. The string is driven by…

凝聚态物理 · 物理学 2009-10-31 Francisco Alonso-Sanchez , David Hochberg

The Renormalization Group (RG) methods are still far from being completely understood in quenched disordered systems. In order to gain insight into the nature of the phase transition of these systems, it is common to investigate simple…

无序系统与神经网络 · 物理学 2014-04-02 Aurélien Decelle , Giorgio Parisi , Jacopo Rocchi

Spin chains with quenched disorder exhibit rich critical behavior, often captured by real-space renormalization group (RSRG) techniques. However, the physics of such systems in the presence of random measurements (i.e., non-Hermitian…

量子物理 · 物理学 2026-05-21 Siddharth Tiwary , Joel E. Moore

We study a model of two layers, each consisting of a d-dimensional elastic object driven over a random substrate, and mutually interacting through a viscous coupling. For this model, the mean-field theory (i.e. a fully connected model)…

无序系统与神经网络 · 物理学 2009-01-07 Pierre Le Doussal , M. Cristina Marchetti , Kay Joerg Wiese

We solve exactly a model of monodispersed rigid rods of length $k$ with repulsive interactions on the random locally tree like layered lattice. For $k\geq 4$ we show that with increasing density, the system undergoes two phase transitions:…

统计力学 · 物理学 2013-08-01 Joyjit Kundu , R. Rajesh