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We employ the density matrix renormalization group (DMRG) and the wave function factorization method for the numerical solution of large scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic…

核理论 · 物理学 2007-05-23 T. Papenbrock , D. J. Dean

In this paper, we investigate the beta-function of the gauge coupling constant ($e$) of the gauged four-fermi theory in the Exact Renormalization Group (ERG) framework. It seems that the presence of the four-fermi interaction strongly…

高能物理 - 理论 · 物理学 2016-09-06 Jun-Ichi Sumi

The one-dimensional (1D) $t-J$ model is investigated using the density matrix renormalization group (DMRG) method. We report for the first time a generalization of the DMRG method to the case of arbitrary band filling and prove a theorem…

凝聚态物理 · 物理学 2009-10-28 Liang Chen , S. Moukouri

A general strategy is formulated for computing bound state spectra in the framework of functional renormalisation group (FRG). Dynamical "coordinates" characterising bound states are introduced as coupling parameters in the $n$-point…

高能物理 - 理论 · 物理学 2020-07-07 A. Jakovác , A. Patkós

We investigate the application of the density-matrix renormalization group (DMRG) algorithm to a one-dimensional harmonic oscillator chain and compare the results with exact solutions, aiming to improve the algorithm efficiency. It has been…

量子物理 · 物理学 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

The functional renormalization group has become a widely used tool for the analysis of the leading low-temperature correlations in weakly to moderately coupled many-fermion lattice systems. A bottleneck for quantitatively more precise…

强关联电子 · 物理学 2018-08-15 Timo Reckling , Carsten Honerkamp

We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions. The…

高能物理 - 理论 · 物理学 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

Quenched randomness can lead to robust non-equilibrium phases of matter in periodically driven (Floquet) systems. Analyzing transitions between such dynamical phases requires a method capable of treating the twin complexities of disorder…

无序系统与神经网络 · 物理学 2018-11-12 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

Considering disordered electron systems we suggest a scheme that allows us to include an electron-electron interaction into a supermatrix sigma-model. The method is based on replacing the initial model of interacting electons by a fully…

介观与纳米尺度物理 · 物理学 2009-11-10 G. Schwiete , K. B. Efetov

We present a functional renormalization group (fRG) study of the two dimensional Hubbard model, performed with an algorithmic implementation which lifts some of the common approximations made in fRG calculations. In particular, in our fRG…

We derive a novel computational scheme for functional Renormalization Group (fRG) calculations for interacting fermions on 2D lattices. The scheme is based on the exchange parametrization fRG for the two-fermion interaction, with additional…

强关联电子 · 物理学 2017-03-08 J. Lichtenstein , D. Sánchez de la Peña , D. Rohe , E. Di Napoli , C. Honerkamp , S. A. Maier

The functional renormalization group (RG) in combination with Fermi surface patching is a well-established method for studying Fermi liquid instabilities of correlated electron systems. In this article, we further develop this method and…

强关联电子 · 物理学 2016-03-15 G. A. H. Schober , K. -U. Giering , M. M. Scherer , C. Honerkamp , M. Salmhofer

We propose an entanglement-based algorithm of the tensor-network strong-disorder renormalization group (tSDRG) method for quantum spin systems with quenched randomness. In contrast to the previous tSDRG algorithm based on the energy…

强关联电子 · 物理学 2021-10-19 Kouichi Seki , Toshiya Hikihara , Kouichi Okunishi

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on…

介观与纳米尺度物理 · 物理学 2007-05-23 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

In this article I show why the fundamental constants obtain perturbative corrections in higher orders, why the renormalizations work and how to reformulate the theory in order to avoid these technical and conceptual complications. I…

综合物理 · 物理学 2014-05-21 Vladimir Kalitvianski

The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point…

核理论 · 物理学 2019-01-30 A. N. Kvinikhidze , M. C. Birse

We study by the perturbative Functional Renormalization Group (FRG) the Random Field and Random Anisotropy O(N) models near $d=4$, the lower critical dimension of ferromagnetism. The long-distance physics is controlled by zero-temperature…

统计力学 · 物理学 2009-11-11 Matthieu Tissier , Gilles Tarjus

We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some…

无序系统与神经网络 · 物理学 2013-04-30 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states.…

强关联电子 · 物理学 2020-08-18 Lennart Klebl , Dante M. Kennes , Carsten Honerkamp

We develop a systematic multi-local expansion of the Polchinski-Wilson exact renormalization group (ERG) equation. Integrating out explicitly the non local interactions, we reduce the ERG equation obeyed by the full interaction functional…

凝聚态物理 · 物理学 2009-10-31 Pascal Chauve , Pierre Le Doussal