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Renormalization group study of interacting fermions at finite temperatures

Adrian A. Drǎgulescu, Adrian Neagu

Jan 1, 19950 citations

Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems

Ming-Shyang Chang, Wei Chen, Hsiu-Hau Lin

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all possible interaction vertices. Furthermore, the one-loop renormalization group equations are derived by operator product expansions of these currents at short length scale. It is rather remarkable that these coupled non-linear equations, after appropriate rescaling, can be casted into potential flows. The existence of what we nicknamed "RG potential" provides a natural explanation of the emergent symmetry enhancement in ladder systems. Further implications arisen from the RG potential are also discussed at the end.We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all possible interaction vertices. Furthermore, the one-loop renormalization group equations are derived by operator product expansions of these currents at short length scale. It is rather remarkable that these coupled non-linear equations, after appropriate rescaling, can be casted into potential flows. The existence of what we nicknamed "RG potential" provides a natural explanation of the emergent symmetry enhancement in ladder systems. Further implications arisen from the RG potential are also discussed at the end.

arXiv:cond-mat/0508660Progress of Theoretical Physics SupplementJan 1, 200516 citations

Quantum renormalization group for one-dimensional fermion systems: a modified scheme

A. Langari, Vahid Karimipour

arXiv:cond-mat/9611128Physics Letters ADec 1, 19974 citations

Renormalization Group Potential for Quasi-One-Dimensional Correlated Systems

Ming-Shyang Chang, Wei Chen, Hsiu‐Hau Lin

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all possible interaction vertices. Furthermore, the one-loop renormalization group equations are derived by operator product expansions of these currents at short length scale. It is rather remarkable that these coupled non-linear equations, after appropriate rescaling, can be casted into potential flows. The existence of what we nicknamed “RG potential ” provides a natural explanation of the emergent symmetry enhancement in ladder systems. Further implications arisen from the RG potential are also discussed at the end. Quasi-one-dimensional (Q1D) systems have attracted extensive attentions from both experimental and theoretical aspects. 1),2) Due to the low dimensionality, strong quantum fluctuations often give rise to surprising behaviors, which are rather different from our intuitions built in higher dimensions. It is then exciting to exploreWe studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all possible interaction vertices. Furthermore, the one-loop renormalization group equations are derived by operator product expansions of these currents at short length scale. It is rather remarkable that these coupled non-linear equations, after appropriate rescaling, can be casted into potential flows. The existence of what we nicknamed “RG potential ” provides a natural explanation of the emergent symmetry enhancement in ladder systems. Further implications arisen from the RG potential are also discussed at the end. Quasi-one-dimensional (Q1D) systems have attracted extensive attentions from both experimental and theoretical aspects. 1),2) Due to the low dimensionality, strong quantum fluctuations often give rise to surprising behaviors, which are rather different from our intuitions built in higher dimensions. It is then exciting to explore

Jan 1, 20056 citations

Interacting Fermi Liquid in Two Dimensions at Finite Temperature. Part II: Renormalization

Margherita Disertori, Vincent Rivasseau

arXiv:cond-mat/9907131Communications in Mathematical PhysicsDec 1, 200025 citations

Fermionic Functional Integrals and the Renormalization Group

Joel Feldman, Horst Knörrer, Eugene Trubowitz B

Abstract The Renormalization Group is the name given to a technique for analyzing the qualitative behaviour of a class of physical systems by iterating a map on the vector space of interactions for the class. In a typical non-rigorous application of this technique one assumes, based on one’s physical intuition, that only a certain finite dimensional subspace (usually of dimension three or less) is important. These notes concern a technique for justifying this approximation in a broad class of Fermionic models used in condensed matter and high energy physics. These notes expand upon the Aisenstadt Lectures given by J. F. at the Centre deAbstract The Renormalization Group is the name given to a technique for analyzing the qualitative behaviour of a class of physical systems by iterating a map on the vector space of interactions for the class. In a typical non-rigorous application of this technique one assumes, based on one’s physical intuition, that only a certain finite dimensional subspace (usually of dimension three or less) is important. These notes concern a technique for justifying this approximation in a broad class of Fermionic models used in condensed matter and high energy physics. These notes expand upon the Aisenstadt Lectures given by J. F. at the Centre de

CRM monograph seriesJun 11, 200269 citations

Renormalization Group Technique for Quasi-One-Dimensional Interacting Fermion Systems at Finite Temperature

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Renormalization Group Technique for Quasi-One-Dimensional Interacting Fermion Systems at Finite Temperature

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