2D-MIT as self-doping of a Wigner–Mott insulator

Pankov, Sergey; Dobrosavljević, Vladimir

doi:10.1016/j.physb.2007.10.365

Cited by 5 publications

(6 citation statements)

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“…Charge transfer model and statDMFT -The charge transfer (CT) model has been used in the description of many multi-band systems near the Mott transition, including various oxides [12], two-dimensional electron gases near Wigner-Mott crystallization [13], as well as doped semiconductors [14]. It consists of a two band model, where one band represents weakly correlated conduction electrons and the other one is a narrow, strongly correlated band containing nearly Mott-localized electrons.…”

Section: Bothmentioning

confidence: 99%

“…(2) How general is the disorder-driven non-Fermi liquid behavior (electronic Griffiths phase), and how does it relate to the relative strength of correlations and disorder? These results are obtained for a specific microscopic model, where our formulation proves exact in an appropriately defined large N limit.Charge transfer model and statDMFT -The charge transfer (CT) model has been used in the description of many multi-band systems near the Mott transition, including various oxides [12], two-dimensional electron gases near Wigner-Mott crystallization [13], as well as doped semiconductors [14]. It consists of a two band model, where one band represents weakly correlated conduction electrons and the other one is a narrow, strongly correlated band containing nearly Mott-localized electrons.…”

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confidence: 99%

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Universal Quantum Criticality at the Mott-Anderson Transition

Aguiar

Dobrosavljević

2013

Phys. Rev. Lett.

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We present a large N solution of a microscopic model describing the Mott-Anderson transition on a finite-coordination Bethe lattice. Our results demonstrate that strong spatial fluctuations, due to Anderson localization effects, dramatically modify the quantum critical behavior near disordered Mott transitions. The leading critical behavior of quasiparticle wavefunctions is shown to assume a universal form in the full range from weak to strong disorder, in contrast to disorder-driven nonFermi liquid ("electronic Griffiths phase") behavior, which is found only in the strongly correlated regime. Early theories of the MIT [5] focused on the stability of conventional metals to introducing weak disorder, but these Fermi-liquid approaches proved unable to describe strong correlation phenomena which took center stage in recent years. Indeed, the last two decades have seen significant advances in our understanding of "Mottness", not least because of the development of dynamical meanfield theory (DMFT) [6], which has been very successful in quantitatively explaining many aspects of strong correlation.Because in its simplest form DMFT does not capture Anderson localization effects, several recent refinements were introduced, which proved capable of capturing both the Mott and the Anderson mechanisms. The conceptually simplest [7] such approach -the typical-medium theory (TMT) -provided the first self-consistent description of the Mott-Anderson transition, and offered some insight into its critical regime. For weak to moderate disorder, this theory found a transition closely resembling the clean Mott point, while only at stronger disorder Anderson localization modified the critical behavior. However, close scrutiny [8] revealed that some of these findings may be artifacts of the neglect of spatial fluctuations in this formulation.An alternative but technically more challenging approach to Anderson-Mott localization was dubbed "Statistical DMFT" (statDMFT) [9]. Here, only the strong correlations are treated in a self-consistent DMFT fashion, while disorder fluctuations are treated by a (numerically) exact computational scheme. While certainly much more reliable than TMT-DMFT, so far this method was utilized only in a handful of theoretical studies of the Mott-Anderson transition [10,11], and the precise form of quantum criticality has never been explored in detail.In this letter, we present the first precise and detailed study of the quantum critical behavior of the MottAnderson transition in a Bethe lattice, within the framework of statDMFT. We address the following physical questions, which we answered in a clear and reliable fashion: (1) Are there two distinct types of quantum criticality in this model, as TMT-DMFT suggested, or do the fluctuation effects restore universality within the critical regime? (2) How general is the disorder-driven non-Fermi liquid behavior (electronic Griffiths phase), and how does it relate to the relative strength of correlations and disorder? These results are obtained for a specific micros...

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Section: Bothmentioning

confidence: 99%

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confidence: 99%

Universal Quantum Criticality at the Mott-Anderson Transition

Aguiar

Dobrosavljević

2013

Phys. Rev. Lett.

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“…The ordered two-and three-dimensional structures of charged particle systems are investigated in numerous recent studies [1][2][3], in particular, Wigner crystallization in a quasi-3D electronic system [4] and the holes in semiconductors [5] are also actively studied. In the paper [6] the authors dealt with a two-dimensional Wigner crystal classically as with elastic medium.…”

Section: Introductionmentioning

confidence: 99%

Low-frequency electromagnetic field in a Wigner crystal

Stupka¹

2013

Physics of Plasmas

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Long-wave low-frequency oscillations are described in a Wigner crystal by generalization of the reverse continuum model for the case of electronic lattice. The internal self-consistent long-wave electromagnetic field is used to describe the collective motions in the system. The eigenvectors and eigenvalues of the obtained system of equations are derived. The velocities of longitudinal and transversal sound waves are found.

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“…A complementary line of work, where the Mott character of the transition is the focus [88], has been the subject of recent model calculations based on DMFT approaches. These works considered a toy lattice model for the Wigner- [80]) show (a) that both the spin susceptibility χ and the effective mass m * are strongly enhanced as the transition is approached.…”

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Chapter 1. Wigner–Mott Quantum Criticality: From 2D-MIT to³He and Mott Organics

Dobrosavljević

Tanasković

2016

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Experiments performed over the last twenty years have revealed striking similarities between several two-dimensional (2D) fermion systems, including diluted two-dimensional electron liquids in semiconductors, 3 He monolayers, and layered organic charge-transfer salts. These experimental results, together with recent theoretical advances, provide compelling evidence that strong electronic correlations -Wigner-Mott physics -dominate the universal features of the corresponding metalinsulator transitions (MIT). Here we review the recent theoretical work exploring quantum criticality of Mott and Wigner-Mott transitions, and argue that most puzzling features of the experiments find natural and physically transparent interpretation based on this perspective. I. MIT IN THE STRONG CORRELATION ERA: THE MYSTERY AND THE MYSTIQUEThe key physical difference between metals and insulators is obvious even at first glance. Its origin, however, has puzzled curious minds since the dark ages of Newton's Alchemy [1]; centuries-long efforts have failed to unravel the mystery. Some basic understanding emerged in early 1900s with the advent of quantum mechanics, based on the nature of electronic spectra in periodic (crystalline) solids. The corresponding Band Theory of Solids (BTS) [2] provided a reasonable description of many features of good metals such as silver or gold, but also of good insulators, such as germanium and silicon.From the perspective of the BTS, metals and insulators represent very different phases of matter. On the other hand, the rise of electronic technology, which rapidly accelerated in the second half of the 20th century, demanded the fabrication of materials with properties that can be conveniently tuned from the limit of good metals all the way to poor conductors and even insulators. This requirement is typically satisfied by chemically or otherwise introducing a modest number of electrical carriers into an insulating parent compound, thus reaching an unfamiliar and often puzzling regime. The need to understand the properties of this intermediate metal-insulator transition (MIT) region [3] opened an important new Pandora's box, both from the technological and the basic science perspective.The fundamental question thus arises: what is the physical nature of the MIT phase transition [4], and what degrees of freedom play a dominant role in its vicinity? The answer is relatively simple in instances where the MIT is driven by an underlying thermodynamic phase transition to an ordered state. This happens, for example, with onset of antiferromagnetic (AFM) or charge-order (CO), which simply modify the periodic potential experienced by the mobile electrons, and the BTS picture suffices [5]. Here, the MIT can simply be regarded as an experimental manifestation of the emerging order, reflecting the static symmetry change of the given material.The situation is much more interesting in instances where the MIT is not accompanied with some incipient order. Here, the physical reason for a sharp MIT must reside beyond the BTS d...

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2D-MIT as self-doping of a Wigner–Mott insulator

Cited by 5 publications

References 10 publications

Universal Quantum Criticality at the Mott-Anderson Transition

Universal Quantum Criticality at the Mott-Anderson Transition

Low-frequency electromagnetic field in a Wigner crystal

Chapter 1. Wigner–Mott Quantum Criticality: From 2D-MIT to³He and Mott Organics

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2D-MIT as self-doping of a Wigner–Mott insulator

Cited by 5 publications

References 10 publications

Universal Quantum Criticality at the Mott-Anderson Transition

Universal Quantum Criticality at the Mott-Anderson Transition

Low-frequency electromagnetic field in a Wigner crystal

Chapter 1. Wigner–Mott Quantum Criticality: From 2D-MIT to3He and Mott Organics

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Chapter 1. Wigner–Mott Quantum Criticality: From 2D-MIT to³He and Mott Organics