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The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method…

高能物理 - 理论 · 物理学 2008-11-26 Diego Guerra , Ramon Mendez-Galain , Nicolas Wschebor

Suppression of rectification at metal--Mott-insulator interfaces, which is previously shown by numerical solutions to the time-dependent Schr\"odinger equation and experiments on real devices, is reinvestigated theoretically by…

强关联电子 · 物理学 2009-04-27 Kenji Yonemitsu

The functional renormalisation group (fRG) has evolved into a versatile tool in condensed matter theory for studying important aspects of correlated electron systems. Practical applications of the method often involve a high numerical…

计算物理 · 物理学 2016-09-21 Daniel Rohe

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

量子气体 · 物理学 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

In this work we formulate the nonequilibrium dynamical renormalization group (ndRG). The ndRG represents a general renormalization-group scheme for the analytical description of the real-time dynamics of complex quantum many-body systems.…

无序系统与神经网络 · 物理学 2015-09-08 Markus Heyl , Matthias Vojta

We use the numerical renormalization group to calculate the auxiliary spectral functions of the $U=\infty$ Anderson impurity model. The slave--boson and pseudo--fermion spectral functions diverge at the threshold with exponents $\alpha_{b}$…

凝聚态物理 · 物理学 2009-10-22 T. A. Costi , P. Schmitteckert , J. Kroha , P. Woelfle

Recently, it has become possible to compute real-frequency four-point correlation functions of quantum impurity models using a multipoint extension of the numerical renormalization group (mpNRG). In this work, we perform several numerical…

强关联电子 · 物理学 2025-08-21 Nepomuk Ritz , Anxiang Ge , Markus Frankenbach , Mathias Pelz , Jan von Delft , Fabian B. Kugler

Many-body perturbation theory (MBPT) based on Green's functions and Feynman diagrams provides a fundamental theoretical framework for various \emph{ab initio} computational approaches in molecular and materials science, including the random…

量子物理 · 物理学 2025-03-20 Yuqi Wang , Wei-Hai Fang , Zhendong Li

We derive functional renormalization group schemes for Fermi systems which are based on the two-particle irreducible approach to the quantum many-body problem. In a first step, the cutoff is introduced in the non-interacting propagator as…

强关联电子 · 物理学 2015-03-25 Jan Frederik Rentrop , Severin Georg Jakobs , Volker Meden

We introduce a novel \abinitio many-body method designed to compute the properties of nuclei in the continuum. This approach combines well-established techniques, namely the Complex Scaling (CS) and Similarity Renormalization Group (SRG)…

核理论 · 物理学 2025-07-03 Osama Yaghi , Guillaume Hupin , Petr Navrátil

We present a method to compute the many-body real-time Green's function using an adaptive variational quantum dynamics simulation approach. The real-time Green's function involves the time evolution of a quantum state with one additional…

量子物理 · 物理学 2023-02-08 Niladri Gomes , David B. Williams-Young , Wibe A. de Jong

The application of Wilson's Numerical Renormalization Group (NRG) method to dissipative quantum impurity models, in particular the sub-ohmic spin-boson model, has led to conclusions regarding the quantum critical behavior which are in…

统计力学 · 物理学 2012-03-16 Matthias Vojta

We present a hybrid lattice Hamiltonian truncation method that integrates the numerical renormalization group (NRG) with a truncated lattice integrable spectrum. The technique is tailored for generic deformations of integrable lattice…

强关联电子 · 物理学 2025-11-18 Xiaodong He , Xiao Wang , Jianda Wu

Understanding quantum many-body states of correlated electrons is one main theme in modern condensed matter physics. Given that the Fermi-Hubbard model, the prototype of correlated electrons, has been recently realized in ultracold optical…

We introduce an improved approach for obtaining smooth finite-temperature spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique. It is based on calculating first the Green's function on the…

强关联电子 · 物理学 2013-07-10 Žiga Osolin , Rok Žitko

We present a recently-developed renormalization group scheme, the functional renormalization group (fRG), as a many-particle method suited to account for the two-particle interactions between the electrons in complex quantum dot geometries.…

强关联电子 · 物理学 2007-05-23 C. Karrasch

We extend the self-consistent Green's functions formalism to take into account three-body interactions. We analyze the perturbative expansion in terms of Feynman diagrams and define effective one- and two-body interactions, which allows for…

核理论 · 物理学 2013-12-03 Arianna Carbone , Andrea Cipollone , Carlo Barbieri , Arnau Rios , Artur Polls

Rotation averaging is a synchronization process on single or multiple rotation groups, and is a fundamental problem in many computer vision tasks such as multi-view structure from motion (SfM). Specifically, rotation averaging involves the…

计算机视觉与模式识别 · 计算机科学 2021-02-11 Xinyi Li , Haibin Ling

We are concerned with few-particle correlations in a fermionic system at finite temperature and density. Within the many-body Green functions formalism the description of correlations is provided by the Dyson equation approach that leads to…

核理论 · 物理学 2007-05-23 S. A. Sofianos , M. Beyer

We propose a novel parametrization of the four-point vertex function in the one-loop one-particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two-fermion interaction into…

强关联电子 · 物理学 2009-02-11 Christoph Husemann , Manfred Salmhofer