Title
Signatures of hidden quantum criticality in the high-temperature charge transport near the mott transition
Creator
Vučičević, Jakša, 1984-
Copyright date
2015
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
English
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 10.07.2015.
Other responsibilities
mentor
Tanasković, Darko
član komisije
Radović, Zoran, 1946-
član komisije
Spasojević, Đorđe, 1958-
član komisije
Vanević, Mihajlo.
član komisije
Vukmirović, Nenad.
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Beogradu
Faculty
Fizički fakultet
Alternative title
Показатељи скривене квантне критичности у високо-температурном транспорту наелектрисања у близини мотовог прелаза
Publisher
[J. Vučičević]
Format
VII, 146 listova
description
Physics - Condensed matter physics / Физика - Физика и кондензоване материје
Abstract (en)
The Mott metal-insulator transition is one of the hallmarks of strong electronic
correlation and is one of the most active areas of condensed matter research today.
Both the experimental data and theory clearly show that the Mott transition is a
rst order transition, featuring a coexistence region up to some critical temperature
Tc. The vicinity of the critical point has been studied extensively and is shown to
display critical phenomena of the classical Ising universality class. Below Tc, the
rst order transition separates a paramagnetic Mott insulator and a paramagnetic
metal. At lowest temperature, the two phases often develop long-range order -
antiferromagnetism or superconductivity. The Mott transition separates two distinct
phases all the way down to zero temperature, which makes it a quantum phase
transition.
The open questions regarding the Mott transition include: can Mott mechanism
in some cases produce a phenomenology drastically dierent from that of a rst order
transition? Can Tc be brought down to zero, i.e. can Mott transition be reduced
to a single quantum critical point? The theory suggests that these are quite possible,
but a clear experimental verication of such prediction is still lacking. Can a
Mott transition be completely hidden by a superconducting ordering instability, and
can critical uctuations of a Mott transition provide a boost to the Cooper pairing
mechanism? These questions are of utmost importance, but are notoriously hard to
answer. Is there a universal high-temperature behavior in connection with the Mott
transition, as is usually the case with other quantum phase transitions? Here we
investigate this possibility and show that the answer is positive. Furthermore, we
show that the linear temperature dependence of resistivity often found in the incoherent
(bad metal) transport regime can be understood as the general consequence
of the Mott quantum criticality.
In this thesis we numerically solve the single-site dynamical mean eld (DMFT)
equation for the Hubbard model, using the iterative perturbation theory (IPT) and
continuous time quantum Monte Carlo (CTQMC). We focus on the supercritical...
Abstract (sr)
Мотов метал-изолатор прелаз је једна од најважнијих последица јаких елек-
тронских корелација, и једна од најактивнијих области истраживања у физици
кондензоване материје. И експеримент и теорија јасно указују да је Мотов
прелаз фазни прелаз првог реда и да испољава коегзистенцију фаза до неке
критичне температуре Тц. Транспортне и термодинамичке особине у околини
критичне тачке су детаљно проучаване и показало се да могу да се опишу
теоријом класичних фазних прелаза...
Authors Key words
strong correlations, Mott metal-insulator transition, quantum criticality,
dynamical mean eld theory
Authors Key words
јаке корелације, Мотов метал-изолатор прелаз, квантна критиq-
ност, теорија динамичког средег поља
Classification
538.9
Type
Tekst
Abstract (en)
The Mott metal-insulator transition is one of the hallmarks of strong electronic
correlation and is one of the most active areas of condensed matter research today.
Both the experimental data and theory clearly show that the Mott transition is a
rst order transition, featuring a coexistence region up to some critical temperature
Tc. The vicinity of the critical point has been studied extensively and is shown to
display critical phenomena of the classical Ising universality class. Below Tc, the
rst order transition separates a paramagnetic Mott insulator and a paramagnetic
metal. At lowest temperature, the two phases often develop long-range order -
antiferromagnetism or superconductivity. The Mott transition separates two distinct
phases all the way down to zero temperature, which makes it a quantum phase
transition.
The open questions regarding the Mott transition include: can Mott mechanism
in some cases produce a phenomenology drastically dierent from that of a rst order
transition? Can Tc be brought down to zero, i.e. can Mott transition be reduced
to a single quantum critical point? The theory suggests that these are quite possible,
but a clear experimental verication of such prediction is still lacking. Can a
Mott transition be completely hidden by a superconducting ordering instability, and
can critical uctuations of a Mott transition provide a boost to the Cooper pairing
mechanism? These questions are of utmost importance, but are notoriously hard to
answer. Is there a universal high-temperature behavior in connection with the Mott
transition, as is usually the case with other quantum phase transitions? Here we
investigate this possibility and show that the answer is positive. Furthermore, we
show that the linear temperature dependence of resistivity often found in the incoherent
(bad metal) transport regime can be understood as the general consequence
of the Mott quantum criticality.
In this thesis we numerically solve the single-site dynamical mean eld (DMFT)
equation for the Hubbard model, using the iterative perturbation theory (IPT) and
continuous time quantum Monte Carlo (CTQMC). We focus on the supercritical...
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