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Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

Quantum Gases · Physics 2014-08-19 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We present the two-loop renormalization group (RG) calculations of all the susceptibilities associated with the two-dimensional flat Fermi surface with rounded corners (FS). Our approach follows our fermionic field theory RG method…

Superconductivity · Physics 2007-05-23 Eberth Correa , Hermann Freire , A. Ferraz

We present a renormalization group (RG) analysis of a fermionic "hot spot" model of interacting electrons on the square lattice. We truncate the Fermi surface excitations to linearly dispersing quasiparticles in the vicinity of eight hot…

Superconductivity · Physics 2014-09-17 Seth Whitsitt , Subir Sachdev

We expand upon on an earlier renormalization group analysis of a non-Fermi liquid fixed point that plausibly govers the two dimensional electron liquid in a magnetic field near filling fraction $\nu=1/2$. We give a more complete description…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

The pseudofermion functional renormalization group (pf-FRG) is one of the few numerical approaches that has been demonstrated to quantitatively determine the ordering tendencies of frustrated quantum magnets in two and three spatial…

Strongly Correlated Electrons · Physics 2018-02-21 Finn Lasse Buessen , Dietrich Roscher , Sebastian Diehl , Simon Trebst

We improve the recently developed functional renormalization group (fRG) for impurities and boundaries in Luttinger liquids by including renormalization of the two-particle interaction, in addition to renormalization of the impurity…

Strongly Correlated Electrons · Physics 2007-05-23 S. Andergassen , T. Enss , V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

We studied the statics and dynamics of elastic manifolds in disordered media with long-range correlated disorder using functional renormalization group (FRG). We identified different universality classes and computed the critical exponents…

Disordered Systems and Neural Networks · Physics 2017-08-23 Andrei A. Fedorenko

The functional renormalisation group (FRG) approach is employed to study Bose polarons at finite temperatures in the regime of strong attractive bath-impurity interactions. Both two- and three-dimensional configurations are considered. The…

Quantum Gases · Physics 2025-01-20 Felipe Isaule

The renormalization group plays an essential role in many areas of physics, both conceptually and as a practical tool to determine the long-distance low-energy properties of many systems on the one hand and on the other hand search for…

Statistical Mechanics · Physics 2021-05-10 N. Dupuis , L. Canet , A. Eichhorn , W. Metzner , J. M. Pawlowski , M. Tissier , N. Wschebor

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and…

Strongly Correlated Electrons · Physics 2008-11-26 Karen Hallberg

In frustrated magnetism, making a stringent connection between microscopic spin models and macroscopic properties of spin liquids remains an important challenge. A recent step towards this goal has been the development of the pseudofermion…

Strongly Correlated Electrons · Physics 2018-02-21 Dietrich Roscher , Finn Lasse Buessen , Michael M. Scherer , Simon Trebst , Sebastian Diehl

The density functional renormalization group (density-fRG) is proposed to investigate the density fluctuations within the functional renormalization group approach, which allows us to quantify the medium effect and study physics of high…

Nuclear Theory · Physics 2025-08-05 Yong-rui Chen , Wei-jie Fu , Yang-yang Tan

We study non conventional superconductivity on a ladder, improving the predictions of the Hubbard model. The determination of the Fermi surface, in 2 or 3 dimensions, remains a very hard task, but it is exactly solvable for a single ladder.…

Strongly Correlated Electrons · Physics 2016-08-14 Gilles Abramovici , Michel Héritier

We study the Fermi-edge singularity, describing the response of a degenerate electron system to optical excitation, in the framework of the functional renormalization group (fRG). Results for the (interband) particle-hole susceptibility…

Strongly Correlated Electrons · Physics 2018-05-15 Fabian B. Kugler , Jan von Delft

The functional renormalization group (fRG) approach has the property that, in general, the flow equation for the two-particle vertex generates $\mathcal{O}(N^4)$ independent variables, where $N$ is the number of interacting states (e.g.…

Strongly Correlated Electrons · Physics 2014-01-24 Florian Bauer , Jan Heyder , Jan von Delft

Motivated by recent experimental observations of correlated metallic phases and superconductivity in rhombohedral trilayer graphene (RTG), we perform an unbiased study of electronic ordering instabilities in hole-doped RTG. Specifically, we…

Strongly Correlated Electrons · Physics 2022-11-08 Da-Chuan Lu , Taige Wang , Shubhayu Chatterjee , Yi-Zhuang You

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

Quantum Gases · Physics 2014-04-25 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We present an analytic theory unraveling the microscopic mechanism of instabilities within interacting $D$-dimensional Fermi liquid. Our model consists of a $D$-dimensional electron gas subject to an instantaneous electron-electron…

Strongly Correlated Electrons · Physics 2025-01-03 Dmitry Miserev , Herbert Schoeller , Jelena Klinovaja , Daniel Loss

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

Strongly Correlated Electrons · Physics 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

We study a 1D Fermi gas with attractive short range-interactions in a disordered potential by the density matrix renormalization group (DMRG) technique. This setting can be implemented experimentally by using cold atom techniques. We…

Quantum Gases · Physics 2012-02-29 Masaki Tezuka , Antonio M. Garcia-Garcia