Dynamical Mean-Field Theory of Strongly Correlated Electron Systems

Vollhardt, D.

doi:10.7566/jpscp.30.011001

Cited by 16 publications

(11 citation statements)

References 157 publications

(72 reference statements)

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“…To understand the physical origin of this anomaly, we recall the phase diagram of the Mott IMT at half filling, as obtained from DMFT 6,7,37,38 , which has been found to successfully describe many experimental features of QSL materials 4,15 such as ours. It features a first-order IMT at low temperatures (k B T crit ≈ 0.02W), and an associated phase-coexistence region over an appreciable range of U/W.…”

Section: Modeling Phase Coexistence By Hybrid Dmftmentioning

confidence: 99%

Low-temperature dielectric anomaly arising from electronic phase separation at the Mott insulator-metal transition

et al. 2021

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Coulomb repulsion among conduction electrons in solids hinders their motion and leads to a rise in resistivity. A regime of electronic phase separation is expected at the first-order phase transition between a correlated metal and a paramagnetic Mott insulator, but remains unexplored experimentally as well as theoretically nearby T = 0. We approach this issue by assessing the complex permittivity via dielectric spectroscopy, which provides vivid mapping of the Mott transition and deep insight into its microscopic nature. Our experiments utilizing both physical pressure and chemical substitution consistently reveal a strong enhancement of the quasi-static dielectric constant ε1 when correlations are tuned through the critical value. All experimental trends are captured by dynamical mean-field theory of the single-band Hubbard model supplemented by percolation theory. Our findings suggest a similar ’dielectric catastrophe’ in many other correlated materials and explain previous observations that were assigned to multiferroicity or ferroelectricity.

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Section: Modeling Phase Coexistence By Hybrid Dmftmentioning

confidence: 99%

Low-temperature dielectric anomaly arising from electronic phase separation at the Mott insulator-metal transition

et al. 2021

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“…The Mott transition is supposed to be of first order below the critical endpoint T crit , implying a pressure region in which correlated metal and insulator coexist [304,317,341]. Limelette et al measured the in-plane electrical transport of κ-(BEDT-TTF) 2 -Cu[N(CN) 2 ]Cl at fixed temperatures below T crit ≈ 40 K in a gas pressure cell [342] and observed a marked hysteresis around the metal-insulator transition that was attributed to spatial inhomogeneities.…”

Section: Coexistence Regimementioning

confidence: 99%

Molecular quantum materials: electronic phases and charge dynamics in two-dimensional organic solids

Dressel

Tomić

2020

Advances in Physics

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This review provides a perspective on recent developments and their implications for our understanding of novel quantum phenomena in the physics of two-dimensional organic solids. We concentrate on the phase transitions and collective response in the charge sector, the importance of coupling of electronic and lattice degrees of freedom and stress an intriguing role of disorder. After a brief introduction to low-dimensional organic solids and their crystallographic structures, we focus on the dimensionality and interactions and emergent quantum phenomena. Important topics of current research in organic matter with sizeable electronic correlations are Mott metal-insulator phase transitions, charge order and ferroelectricity. Highly frustrated two-dimensional systems are established model compounds for studying the quantum spin liquid state and the competition with magnetic long-range order. There are also unique examples of quantum disordered state of magnetic and electric dipoles. Representative experimental results are complemented by current theoretical approaches.

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“…27 Several of these are based on embedding schemes where the original lattice problem is mapped onto an auxiliary quantum impurity problem embedded in a self-consistently determined effective medium. The dynamical mean field theory (DMFT), [28][29][30] which utilizes such a mapping, has been successfully used to understand electron localization in the Hubbard model. Several extensions of DMFT have been developed to capture non-local spatial correlations effects.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model

Terletska,

Iskakov,

Maier

et al. 2021

Preprint

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We perform a detailed study of the phase transitions and mechanisms of electron localization in the extended Hubbard model using the dynamical cluster approximation on a 2 × 2 cluster. We explore the interplay of charge order and Mott physics. We find that a nearest-neighbor Coulomb interaction V causes "screening" effects close to the Mott phase transition, pushing the phase boundary to larger values of U . We also demonstrate the different effects of V on correlations in metallic and insulating regimes, and document the different correlation aspects of charge order and Mott states.

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Dynamical Mean-Field Theory of Strongly Correlated Electron Systems

Cited by 16 publications

References 157 publications

Low-temperature dielectric anomaly arising from electronic phase separation at the Mott insulator-metal transition

Low-temperature dielectric anomaly arising from electronic phase separation at the Mott insulator-metal transition

Molecular quantum materials: electronic phases and charge dynamics in two-dimensional organic solids

Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model

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