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Mott transition

About: Mott transition is a research topic. Over the lifetime, 2444 publications have been published within this topic receiving 78401 citations.


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TL;DR: The spinon contributions to the optical conductivity in comparison to metallic quantum fluctuations in the vicinity of the Mott transition is discussed.
Abstract: Quantum spin liquids attract great interest due to their exceptional magnetic properties characterized by the absence of long-range order down to low temperatures despite the strong magnetic interaction. Commonly, these compounds are strongly correlated electron systems, and their electrodynamic response is governed by the Mott gap in the excitation spectrum. Here we summarize and discuss the optical properties of several two-dimensional quantum spin liquid candidates. First we consider the inorganic material Herbertsmithite ZnCu$_3$(OH)$_6$Cl$_2$ and related compounds, which crystallize in a kagome lattice. Then we turn to the organic compounds $\beta^{\prime}$-EtMe$_3$\-Sb\-[Pd(dmit)$_2$]$_2$, $\kappa$-(BEDT-TTF)$_2$Ag$_2$(CN)$_3$ and $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, where the spins are arranged in an almost perfect triangular lattice, leading to strong frustration. Due to differences in bandwidth, the effective correlation strength varies over a wide range, leading to a rather distinct behavior as far as the electrodynamic properties are concerned. We discuss the spinon contributions to the optical conductivity in comparison to metallic quantum fluctuations in the vicinity of the Mott transition.

2 citations

Journal ArticleDOI
TL;DR: In this article, the deconfined Mott transition (DMT) is used to describe a continuous transition between two metallic phases, accompanied by a jump in the size of their electronic Fermi surfaces.
Abstract: We discuss a new class of quantum phase transitions -- Deconfined Mott Transition (DMT) -- that describe a continuous transition between a Fermi liquid metal with a generic electronic Fermi surface and an electrical insulator without Fermi surfaces of emergent neutral excitations. We construct a unified $U(2)$ gauge theory to describe a variety of metallic and insulating phases, which include Fermi liquids, fractionalized Fermi liquids (FL*), conventional insulators and quantum spin liquids, as well as the quantum phase transitions between them. Using the DMT as a basic building block, we propose a distinct quantum phase transition -- Deconfined Metal-Metal Transition (DM$^2$T) -- that describes a continuous transition between two metallic phases, accompanied by a jump in the size of their electronic Fermi surfaces (also dubbed a 'Fermi transition'). We study these new classes of deconfined metallic quantum critical points using a renormalization group framework at the leading nontrivial order in a controlled expansion, and comment on the various interesting scenarios that can emerge going beyond this leading order calculation. We also study a $U(1)\times U(1)$ gauge theory that shares a number of similarities with the $U(2)$ gauge theory and sheds important light on many phenomena related to DMT, DM$^2$T and quantum spin liquids.

2 citations

Journal ArticleDOI
TL;DR: In this article , the effect of Mott correlations in ABC/hBN was investigated using dynamical mean-field theory and it was shown that the electronic states are strongly affected by a significant spectral weight transfer not present without alignment to hexagonal boron nitride.
Abstract: ABC trilayer graphene aligned with hexagonal boron nitride (ABC/hBN) and other moir\'e systems have shown insulating phases at integer fillings of the moir\'e lattice. The role of Mott physics in these insulating states has been questioned by observations of correlated states in a nonaligned ABC trilayer, but recent photocurrent experiments in aligned samples are consistent with the existence of a Mott insulating state at half filling. Using dynamical mean-field theory we address the effect of Mott correlations in ABC/hBN. We show that, at experimentally relevant interaction values, the electronic states are strongly affected by a significant spectral weight transfer not present without alignment to hBN. This effect, which emerges at interactions considerably smaller than ${U}_{\mathrm{Mott}}$ (at which the Mott metal-insulator transition takes place) and does not require symmetry breaking, also impacts the electronic properties at temperatures above the ordering transitions producing anomalous temperature and doping dependencies. Close to the Mott transition, the intramoir\'e unit cell interactions promote an antiferromagnetic state, probably breaking the ${C}_{3}$ symmetry, that would compete with the ferromagnetic exchange interactions to determine the ground state.

2 citations

Journal ArticleDOI
TL;DR: In this paper, the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT was investigated, and several interesting results including a crossover from band to Mott behavior in the spectral function were found.
Abstract: We investigate the effect of tuning the phonon energy on the correlation effects in models of electron–phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron–phonon driven correlations and static distortions compete on similar energy scales, we find several interesting results including (1) A crossover from band to Mott behavior in the spectral function, leading to hybrid band/Mott features in the spectral function for phonon frequencies slightly larger than the band width. (2) Since the optical conductivity depends sensitively on the form of the spectral function, we show that such a regime should be observable through the low frequency form of the optical conductivity. (3) The resistivity has a double kondo peak arrangement.

2 citations

Journal ArticleDOI
TL;DR: In this paper, a ground-state signature of the Mott transition in correlated nanoscopic systems is proposed, where the vanishing of the nearest-neighbor charge concurrence indicates the crossover from a partly-localized quantum liquid to a Mott insulator.
Abstract: Pairwise entanglement, calculated separately for charge and spin degrees of freedom, is proposed as a ground-state signature of the Mott transition in correlated nanoscopic systems. Utilizing the exact diagonalization - ab initio method (EDABI), for chains containing $N\leqslant{}16$ hydrogenic-like atoms (at the half filling), we find that the vanishing of the nearest-neighbor charge concurrence indicates the crossover from a partly-localized quantum liquid to the Mott insulator. Spin concurrence remains nonzero at the insulating phase, showing that the decopling of spin and charge degrees of freedom may manifest itself by wavefunctions entangled in spin, but separable in charge coordinates. At the quarter filling, the analysis for $N\leqslant{}20$ shows that spin concurrence vanishes immediately when the charge-energy gap obtained from the scaling with $1/N\rightarrow{}0$ vanishes, constituting a finite-system version of the Mott transition. Analytic derivations of the formulas expressing either charge or spin concurrence in terms of ground-state correlation functions are also provided.

2 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202334
202271
202165
202064
201968
201871