839 research outputs found
Metal-Insulator transitions in the periodic Anderson model
We solve the Periodic Anderson model in the Mott-Hubbard regime, using
Dynamical Mean Field Theory. Upon electron doping of the Mott insulator, a
metal-insulator transition occurs which is qualitatively similar to that of the
single band Hubbard model, namely with a divergent effective mass and a first
order character at finite temperatures. Surprisingly, upon hole doping, the
metal-insulator transition is not first order and does not show a divergent
mass. Thus, the transition scenario of the single band Hubbard model is not
generic for the Periodic Anderson model, even in the Mott-Hubbard regime.Comment: 5 pages, 4 figure
The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions
We study the second order finite temperature Mott transition point in the
fully frustrated Hubbard model at half filling, within Dynamical Mean Field
Theory. Using quantum Monte Carlo simulations we show the existence of a finite
temperature second order critical point by explicitly demonstrating the
existence of a divergent susceptibility as well as by finding coexistence in
the low temperature phase. We determine the location of the finite temperature
Mott critical point in the (U,T) plane. Our study verifies and quantifies a
scenario for the Mott transition proposed in earlier studies (Reviews of Modern
Physics 68, 13, 1996) of this problem.Comment: 4 RevTex pages, uses epsf, 2 figure
Landau Theory of the Finite Temperature Mott Transition
In the context of the dynamical mean-field theory of the Hubbard model, we
identify microscopically an order parameter for the finite temperature Mott
endpoint. We derive a Landau functional of the order parameter. We then use the
order parameter theory to elucidate the singular behavior of various physical
quantities which are experimentally accessible.Comment: 4 pages, 2 figure
Quantum Monte Carlo calculation of the finite temperature Mott-Hubbard transition
We present clear numerical evidence for the coexistence of metallic and
insulating dynamical mean field theory(DMFT) solutions in a half-filled
single-band Hubbard model with bare semicircular density of states at finite
temperatures. Quantum Monte Carlo(QMC) method is used to solve the DMFT
equations. We discuss important technical aspects of the DMFT-QMC which need to
be taken into account in order to obtain the reliable results near the
coexistence region. Among them are the critical slowing down of the iterative
solutions near phase boundaries, the convergence criteria for the DMFT
iterations, the interpolation of the discretized Green's function and the
reduction of QMC statistical and systematic errors. Comparison of our results
with those of other numerical methods is presented in a phase diagram.Comment: 4 pages, 5 figure
Asymmetry between the electron- and hole-doped Mott transition in the periodic Anderson model
We study the doping driven Mott metal-insulator transition (MIT) in the
periodic Anderson model set in the Mott-Hubbard regime. A striking asymmetry
for electron or hole driven transitions is found. The electron doped MIT at
larger U is similar to the one found in the single band Hubbard model, with a
first order character due to coexistence of solutions. The hole doped MIT, in
contrast, is second order and can be described as the delocalization of
Zhang-Rice singlets.Comment: 18 pages, 19 figure
Magnetic Transition Temperature of (La,Sr)MnO
Using the Kondo lattice model with classical spins in infinite dimension,
magnetic phase transition in the perovskite-type transition-metal oxide
(La,Sr)MnO is theoretically studied. On the Bethe lattice, the
self-consistency equations are solved exactly. Curie temperatures at the region
of double-exchange ferromagnetism as well as the Neel
temperature at are well reproduced quantitatively. Pressure effect on the
Curie temperature is also discussed.Comment: 7 pages, 1 PS file with 3 figures appended at the end, LaTe
Mott transition at large orbital degeneracy: dynamical mean-field theory
We study analytically the Mott transition of the N-orbital Hubbard model
using dynamical mean-field theory and a low-energy projection onto an effective
Kondo model. It is demonstrated that the critical interaction at which the
insulator appears (Uc1) and the one at which the metal becomes unstable (Uc2)
have different dependence on the number of orbitals as the latter becomes
large: Uc1 ~ \sqrt{N} while Uc2 ~ N. An exact analytical determination of the
critical coupling Uc2/N is obtained in the large-N limit. The metallic solution
close to this critical coupling has many similarities at low-energy with the
results of slave boson approximations, to which a comparison is made. We also
discuss how the critical temperature associated with the Mott critical endpoint
depends on the number of orbitals.Comment: 13 pages. Minor changes in V
Typical-Medium Theory of Mott-Anderson Localization
The Mott and the Anderson routes to localization have long been recognized as
the two basic processes that can drive the metal-insulator transition (MIT).
Theories separately describing each of these mechanisms were discussed long
ago, but an accepted approach that can include both has remained elusive. The
lack of any obvious static symmetry distinguishing the metal from the insulator
poses another fundamental problem, since an appropriate static order parameter
cannot be easily found. More recent work, however, has revisited the original
arguments of Anderson and Mott, which stressed that the key diference between
the metal end the insulator lies in the dynamics of the electron. This physical
picture has suggested that the "typical" (geometrically averaged) escape rate
from a given lattice site should be regarded as the proper dynamical order
parameter for the MIT, one that can naturally describe both the Anderson and
the Mott mechanism for localization. This article provides an overview of the
recent results obtained from the corresponding Typical-Medium Theory, which
provided new insight into the the two-fluid character of the Mott-Anderson
transition.Comment: to be published in "Fifty Years of Anderson localization", edited by
E. Abrahams (World Scientific, Singapore, 2010); 29 pages, 22 figures
Integration of the problem of medical ecology on the level of the highly urbanized region
The urgency of the analyzed issue is due to the study of the basic issues of medical ecology: the dynamics of demographic indicators, the correlation of somatic and reproductive public health, depending on the influence of physical factors of the urban environment on public health on the basis of medical and geographic mapping. The article aims at the analysis of the environmentally determined disorder of the urbanized territory. The leading approach to the study of the issue of medical ecology is a medical and geographical mapping, which allows identifying the most affordable and common areas of multi-component medical and environmental maps. While analyzing the impact of various aspects of the environment on human health, the priority is given to risk factors that directly lead to the emergence of diseases. The contents of the article may be useful to justify the choice of the rational approach to public health as a redistribution mechanism to reallocate the space of ecological niches. © 2016 Rozenberg et al
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