10,298 research outputs found
The Fractional Quantum Hall States of Dirac Electrons in Graphene
We have investigated the fractional quantum Hall states for the Dirac
electrons in a graphene layer in different Landau levels. The relativistic
nature of the energy dispersion relation of the electrons in the graphene
significantly modifies the inter-electron interactions. This results in a
specific dependence of the ground state energy and the energy gaps for
electrons on the Landau level index. For the valley-polarized states, i.e. at
\nu =1/m, m being an odd integer, the energy gaps have the largest values in
the n=1 Landau level. For the valley-unpolarized states, e.g., for the 2/3
state, the energy gaps are suppressed for the n=1 Landau level as compared to
the n=0 level. For both the n=1 and n=0 Landau levels the ground state of the
2/3 system is fully valley-unpolarized.Comment: accepted for publication in Phys. Rev. Let
Hall plateau diagram for the Hofstadter butterfly energy spectrum
We extensively study the localization and the quantum Hall effect in the
Hofstadter butterfly, which emerges in a two-dimensional electron system with a
weak two-dimensional periodic potential. We numerically calculate the Hall
conductivity and the localization length for finite systems with the disorder
in general magnetic fields, and estimate the energies of the extended levels in
an infinite system. We obtain the Hall plateau diagram on the whole region of
the Hofstadter butterfly, and propose a theory for the evolution of the plateau
structure with increasing disorder. There we show that a subband with the Hall
conductivity has separated bunches of extended levels, at least
for an integer . We also find that the clusters of the subbands with
identical Hall conductivity, which repeatedly appear in the Hofstadter
butterfly, have a similar localization property.Comment: 9 pages, 12 figure
nature of the superdeformed band of and the evolution of the molecular structure
The relation between the superdeformed band of and molecular bands is studied by the deformed-base
antisymmetrized molecular dynamics with the Gogny D1S force. It is found that
the obtained superdeformed band members of have considerable
amount of the component. Above the superdeformed
band, we have obtained two excited rotational bands which have more prominent
character of the molecular band. These three
rotational bands are regarded as a series of
molecular bands which were predicted by using the unique
- optical potentil. As the excitation energy and principal
quantum number of the relative motion increase, the cluster structure becomes more prominent but at the same time, the band
members are fragmented into several states
Quantum transport properties of two-dimensional systems in disordered magnetic fields with a fixed sign
Quantum transport in disordered magnetic fields is investigated numerically
in two-dimensional systems. In particular, the case where the mean and the
fluctuation of disordered magnetic fields are of the same order is considered.
It is found that in the limit of weak disorder the conductivity exhibits a
qualitatively different behavior from that in the conventional random magnetic
fields with zero mean. The conductivity is estimated by the equation of motion
method and by the two-terminal Landauer formula. It is demonstrated that the
conductance stays on the order of even in the weak disorder limit. The
present behavior can be interpreted in terms of the Drude formula. The
Shubnikov-de Haas oscillation is also observed in the weak disorder regime.Comment: 6 pages, 7 figures, to appear in Phys. Rev.
Conductance plateau transitions in quantum Hall wires with spatially correlated random magnetic fields
Quantum transport properties in quantum Hall wires in the presence of
spatially correlated disordered magnetic fields are investigated numerically.
It is found that the correlation drastically changes the transport properties
associated with the edge state, in contrast to the naive expectation that the
correlation simply reduces the effect of disorder. In the presence of
correlation, the separation between the successive conductance plateau
transitions becomes larger than the bulk Landau level separation determined by
the mean value of the disordered magnetic fields. The transition energies
coincide with the Landau levels in an effective magnetic field stronger than
the mean value of the disordered magnetic field. For a long wire, the strength
of this effective magnetic field is of the order of the maximum value of the
magnetic fields in the system. It is shown that the effective field is
determined by a part where the stronger magnetic field region connects both
edges of the wire.Comment: 7 pages, 10 figure
Metal insulator transition in modulated quantum Hall systems
The quantum Hall effect is studied numerically in modulated two-dimensional
electron systems in the presence of disorder. Based on the scaling property of
the Hall conductivity as well as the localization length, the critical energies
where the states are extended are identified. We find that the critical
energies, which are distributed to each of the subbands, combine into one when
the disorder becomes strong, in the way depending on the symmetry of the
disorder and/or the periodic potential.Comment: 4 pages, 4 figures, to appear in Physica
Conductance of Disordered Wires with Symplectic Symmetry: Comparison between Odd- and Even-Channel Cases
The conductance of disordered wires with symplectic symmetry is studied by
numerical simulations on the basis of a tight-binding model on a square lattice
consisting of M lattice sites in the transverse direction. If the potential
range of scatterers is much larger than the lattice constant, the number N of
conducting channels becomes odd (even) when M is odd (even). The average
dimensionless conductance g is calculated as a function of system length L. It
is shown that when N is odd, the conductance behaves as g --> 1 with increasing
L. This indicates the absence of Anderson localization. In the even-channel
case, the ordinary localization behavior arises and g decays exponentially with
increasing L. It is also shown that the decay of g is much faster in the
odd-channel case than in the even-channel case. These numerical results are in
qualitative agreement with existing analytic theories.Comment: 4 page
Chemical potential jump between hole- and electron-doped sides of ambipolar high-Tc cuprate
In order to study an intrinsic chemical potential jump between the hole- and
electron-doped high-Tc superconductors, we have performed core-level X-ray
photoemission spectroscopy (XPS) measurements of Y0.38La0.62Ba1.74La0.26Cu3Oy
(YLBLCO), into which one can dope both holes and electrons with maintaining the
same crystal structure. Unlike the case between the hole-doped system
La_2-xSrxCuO4 and the electron-doped system Nd_2-xCexCuO4, we have estimated
the true chemical potential jump between the hole- and electron-doped YLBLCO to
be ~0.8 eV, which is much smaller than the optical gaps of 1.4-1.7 eV reported
for the parent insulating compounds. We attribute the reduced jump to the
indirect nature of the charge-excitation gap as well as to the polaronic nature
of the doped carriers.Comment: 4 pages, 3 figure
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