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Combined effects of disorders and electron–electron interactions upon metal–insulator transition in 2D nonbipartite lattice

Jiaxiang Wang, Sabre Kais

arXiv:cond-mat/0405346Physics Letters ASep 1, 20032 citations

Intertwined Electron–Electron Interactions and Disorder in the Metal–Insulator Phase Transition

Martha Villagrán, Nikolaos Mitsakos

Quantum materials exhibit a rich dynamic of physical parameters, which, when combined, can lead to entirely different behaviors. These parameters constantly compete with each other, with the most influential parameters determining the state of the system. For example, in the case of metal–insulator transitions, electron–electron interactions compete with the kinetic energy of the electrons and disorder. Understanding these complex dynamics is crucial for both fundamental physics and the development of novel technological applications, particularly given the role of disorder in tuning critical temperatures, a property with significant potential benefit in the fabrication of new devices where temperature requirements are still the bottleneck. In this article, properties of the Mott metal–insulator transition within disordered electron systems are explored using the disordered Hubbard model, the simplest Hamiltonian for capturing the metal–insulator transition. The model solutions are obtained using the self-consistent statistical dynamical mean-field theory (statDMFT). statDMFT incorporates local electronic correlation effects while allowing for Anderson localization due to disorder.Quantum materials exhibit a rich dynamic of physical parameters, which, when combined, can lead to entirely different behaviors. These parameters constantly compete with each other, with the most influential parameters determining the state of the system. For example, in the case of metal–insulator transitions, electron–electron interactions compete with the kinetic energy of the electrons and disorder. Understanding these complex dynamics is crucial for both fundamental physics and the development of novel technological applications, particularly given the role of disorder in tuning critical temperatures, a property with significant potential benefit in the fabrication of new devices where temperature requirements are still the bottleneck. In this article, properties of the Mott metal–insulator transition within disordered electron systems are explored using the disordered Hubbard model, the simplest Hamiltonian for capturing the metal–insulator transition. The model solutions are obtained using the self-consistent statistical dynamical mean-field theory (statDMFT). statDMFT incorporates local electronic correlation effects while allowing for Anderson localization due to disorder.

Applied SciencesDec 23, 20251 citation

Metal-insulator transitions in the disordered Hubbard model

V. Janiš, M. Ulmke, D. Vollhardt

Physica B Condensed MatterFeb 1, 19940 citations

On the Universality of the Metal-Insulator Transition of Interacting Electrons

Arisato Kawabata

Springer proceedings in physicsJan 1, 19882 citations

Dynamical Mean-Field Studies of Metal-Insulator Transitions

V. Dobrosavljević, Gabriel Kotliar

Introduction How a substance evolves from a metallic to a non metallic state is one of the most fundamental and richest problems in condensed matter physics. In general, there are several mechanisms at play. In particular, electron-electron interactions can drive a metal to insulator transition in a pure substance (Mott, 1990). This transition is named after Sir Nevill Mott who laid down the foundations for the physical understanding of this phenomenon. Another route was discovered by Anderson (1958) who realized that sufficiently strong disorder can drive a metal-insulator transition even in systems of non interacting electrons. The theoretical description of the situation when both effects are present is a central unsolved problem. For recent reviews see Lee & Ramakrishnan (1983) and Belitz & Kirkpatrick (1995). Early treatments (Abrahams et al. 1979, Wegner 1976, Schaffer & Wegner 1980, Finkelshtein 1983, 1984) used direct analogies from the theory of magnetism and the scalIntroduction How a substance evolves from a metallic to a non metallic state is one of the most fundamental and richest problems in condensed matter physics. In general, there are several mechanisms at play. In particular, electron-electron interactions can drive a metal to insulator transition in a pure substance (Mott, 1990). This transition is named after Sir Nevill Mott who laid down the foundations for the physical understanding of this phenomenon. Another route was discovered by Anderson (1958) who realized that sufficiently strong disorder can drive a metal-insulator transition even in systems of non interacting electrons. The theoretical description of the situation when both effects are present is a central unsolved problem. For recent reviews see Lee & Ramakrishnan (1983) and Belitz & Kirkpatrick (1995). Early treatments (Abrahams et al. 1979, Wegner 1976, Schaffer & Wegner 1980, Finkelshtein 1983, 1984) used direct analogies from the theory of magnetism and the scal

Jan 1, 199621 citations

Metal-Insulator Transition in Disordered and Interacting Systems

Sanjoy Kumar Sarker

This paper is being withdrawn.

arXiv:cond-mat/9709135Sep 11, 19970 citations

Interacting disordered electrons and the metal-insulator transition: The field theoretic approach reanalyzed

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