247 research outputs found
Spectral flow and level spacing of edge states for quantum Hall hamiltonians
We consider a non relativistic particle on the surface of a semi-infinite
cylinder of circumference submitted to a perpendicular magnetic field of
strength and to the potential of impurities of maximal amplitude . This
model is of importance in the context of the integer quantum Hall effect. In
the regime of strong magnetic field or weak disorder it is known that
there are chiral edge states, which are localised within a few magnetic lengths
close to, and extended along the boundary of the cylinder, and whose energy
levels lie in the gaps of the bulk system. These energy levels have a spectral
flow, uniform in , as a function of a magnetic flux which threads the
cylinder along its axis. Through a detailed study of this spectral flow we
prove that the spacing between two consecutive levels of edge states is bounded
below by with , independent of , and of the
configuration of impurities. This implies that the level repulsion of the
chiral edge states is much stronger than that of extended states in the usual
Anderson model and their statistics cannot obey one of the Gaussian ensembles.
Our analysis uses the notion of relative index between two projections and
indicates that the level repulsion is connected to topological aspects of
quantum Hall systems.Comment: 22 pages, no figure
Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers
Free energies and other thermodynamical quantities are investigated in
canonical and grand canonical ensembles of statistical mechanics involving
unstable states which are described by the generalized eigenstates with complex
energy eigenvalues in the conjugate space of Gel'fand triplet. The theory is
applied to the systems containing parabolic potential barriers (PPB's). The
entropy and energy productions from PPB systems are studied. An equilibrium for
a chemical process described by reactions is also
discussed.Comment: 14 pages, AmS-LaTeX, no figur
Resonances Width in Crossed Electric and Magnetic Fields
We study the spectral properties of a charged particle confined to a
two-dimensional plane and submitted to homogeneous magnetic and electric fields
and an impurity potential. We use the method of complex translations to prove
that the life-times of resonances induced by the presence of electric field are
at least Gaussian long as the electric field tends to zero.Comment: 3 figure
TRα Mutations in Human
Resistance to thyroid hormone alpha is an emerging syndrome, with up to now a limited number of published cases. Some features are common to most of the patients, but there is still some work to provide a comprehensive description of the full spectrum of the syndrome. A survey of the strategy to screen for and characterize the mutations in TR α gene is given
Expert opinion on pituitary complications in immunotherapy
Hypophysitis is a frequent toxic endocrine side-effect of immunotherapy. Prevalence is higher with anti-CTLA-4 antibodies (4-20%) or in association with PD-1 inhibitors (8%). Diagnosis is presumptive, based on poorly specific clinical symptoms (usually, headache and asthenia) and/or hyponatremia and/or at least one pituitary deficit and/or abnormal imaging. Visual disorder or polyuropolydipsic syndrome are exceptional. In decreasing order of frequency, deficits are thyrotropic (86-100%), gonadotropic (85-100%) or corticotropic (50-73%); somatotropin deficit or abnormal prolactin level are rarer. Pituitary MRI in acute phase shows variable moderate increase in pituitary volume, ruling out differential diagnoses, especially pituitary metastasis. Treatment of corticotropin deficiency requires systematic emergency replacement therapy, with the usual modalities, while treatment of other deficits depends on clinical status and progression. Thyrotropin and gonadotropin deficits usually recover, but corticotropin deficiency persists over the long term, requiring education and specialized endocrinologic follow-up. Onset of hypophysitis does not contraindicate continuation of immunotherapy and does not usually require high dose synthetic glucocorticoids
Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems
We study the spectrum of a random Schroedinger operator for an electron
submitted to a magnetic field in a finite but macroscopic two dimensional
system of linear dimensions equal to L. The y direction is periodic and in the
x direction the electron is confined by two smooth increasing boundary
potentials. The eigenvalues of the Hamiltonian are classified according to
their associated quantum mechanical current in the y direction. Here we look at
an interval of energies inside the first Landau band of the random operator for
the infinite plane. In this energy interval, with large probability, there
exist O(L) eigenvalues with positive or negative currents of O(1). Between each
of these there exist O(L^2) eigenvalues with infinitesimal current
O(exp(-cB(log L)^2)). We explain what is the relevance of this analysis to the
integer quantum Hall effect.Comment: 29 pages, no figure
On the Lipschitz continuity of spectral bands of Harper-like and magnetic Schroedinger operators
We show for a large class of discrete Harper-like and continuous magnetic
Schrodinger operators that their band edges are Lipschitz continuous with
respect to the intensity of the external constant magnetic field. We generalize
a result obtained by J. Bellissard in 1994, and give examples in favor of a
recent conjecture of G. Nenciu.Comment: 15 pages, accepted for publication in Annales Henri Poincar
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