Magnetotransport in the doped Mott insulator

Lange, Ekkehard; Kotliar, Gabriel

doi:10.1103/physrevb.59.1800

Cited by 25 publications

(36 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is precisely this assumption that breaks down when one considers the Mott MIT, where R H is critical at the MIT (see above). They are also different from expectations in a correlated LFL: a strongly T -dependent R H close to a Mott MIT in a Hub- bard model framework is long known [16]. However, in a DMFT framework, R H (T ) exhibits a recovery of correlated Landau-Fermi liquid behaviour below a low-T lattice coherence scale.…”

contrasting

confidence: 57%

Quantum critical magnetotransport at a continuous metal-insulator transition

2017

View full text Add to dashboard Cite

In contrast to the seminal weak localization prediction of a non-critical Hall constant (RH ) at the Anderson metal-insulator transition (MIT), RH in quite a few real disordered systems exhibits both, a strong T -dependence and critical scaling near their MIT. Here, we investigate these issues in detail within a non-perturbative "strong localization" regime using cluster-dynamical mean field theory (CDMFT). We uncover (i) clear and unconventional quantum-critical scaling of the GellMann-Law, or γ-function for magneto-transport, finding that γ(gxy) = d[log(gxy)] d[log(T )]≃ log(gxy) over a wide range spanning the continuous MIT, very similar to that seen for the longitudinal conductivity, (ii) strongly T -dependent and clear quantum critical scaling in both transverse conductivity and RH at the MIT. We show that these surprising results are in comprehensive and very good accord with signatures of a novel Mott-like localization in NbN near the MIT, providing substantial support for our "strong" localization view.

show abstract

contrasting

confidence: 57%

Quantum critical magnetotransport at a continuous metal-insulator transition

2017

View full text Add to dashboard Cite

show abstract

“…A similar expression was recently found by Lange and Kotliar. 17 The Hall coefficient reduces at low temperatures to…”

Section: Hall Resistancementioning

confidence: 99%

Transport properties of strongly correlated metals: A dynamical mean-field approach

2000

View full text Add to dashboard Cite

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling is calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single impurity Anderson model that is solved self-consistently, and becomes exact in the limit of large dimensionality, is used. As the temperature increases there is a smooth crossover from coherent Fermi liquid excitations at low temperatures to incoherent excitations at high temperatures. This crossover leads to a nonmonotonic temperature dependence for the resistance, thermopower, and Hall coefficient, unlike in conventional metals. The resistance smoothly increases from a quadratic temperature dependence at low temperatures to large values which can exceed the Mott-Ioffe-Regel value បa/e 2 ͑where a is a lattice constant͒ associated with mean free paths less than a lattice constant. Further signatures of the thermal destruction of quasiparticle excitations are a peak in the thermopower and the absence of a Drude peak in the optical conductivity. The results presented here are relevant to a wide range of strongly correlated metals, including transition metal oxides, strontium ruthenates, and organic metals.

show abstract

“…In this section we review some of this work as well as some later work. We focus on work related to the electron-phonon scattering, while work based on electron-electron scattering (Jarrell and Pruschke, 1994;Lange and Kotliar, 1999;Parcollet and Georges, 1999;Merino and McKenzie, 2000;Gunnarsson and Han, 2000) fall outside the scope of this review.…”

Section: Early Theoretical Workmentioning

confidence: 99%

“…Weger and Mott (1985) and proposed a theory in terms dehybridization of the s-and d-electrons at large values of T . Laughlin (1982) presented a theory where exchange interaction reduced the density of states and increased the Fermi velocity in such a way that resistivity saturation was obtained. Cote and Meisel (1978) and Morton et al (1978) proposed that an electron is only scattered by a phonon if the mean free path of the electron is longer than the phonon wave length.…”

Section: Early Theoretical Workmentioning

confidence: 99%

Colloquium: Saturation of electrical resistivity

Calandra²,

2003

View full text Add to dashboard Cite

Resistivity saturation is observed in many metallic systems with large resistivities, i.e., when the resistivity has reached a critical value, its further increase with temperature is substantially reduced. This typically happens when the apparent mean free path is comparable to the interatomic separations -the Ioffe-Regel condition. Recently, several exceptions to this rule have been found. Here, we review experimental results and early theories of resistivity saturation. We then describe more recent theoretical work, addressing cases both where the Ioffe-Regel condition is satisfied and where it is violated. In particular we show how the (semiclassical) Ioffe-Regel condition can be derived quantum-mechanically under certain assumptions about the system and why these assumptions are violated for high-Tc cuprates and alkali-doped fullerides.

show abstract

Magnetotransport in the doped Mott insulator

Cited by 25 publications

References 33 publications

Quantum critical magnetotransport at a continuous metal-insulator transition

Quantum critical magnetotransport at a continuous metal-insulator transition

Transport properties of strongly correlated metals: A dynamical mean-field approach

Colloquium: Saturation of electrical resistivity

Contact Info

Product

Resources

About