7,533 research outputs found
Collective excitations in double-layer quantum Hall systems
We study the collective excitation spectra of double-layer quantum-Hall
systems using the single mode approximation. The double-layer in-phase density
excitations are similar to those of a single-layer system. For out-of-phase
density excitations, however, both inter-Landau-level and intra-Landau-level
double-layer modes have finite dipole oscillator strengths. The oscillator
strengths at long wavelengths for the latter transitions are shifted upward by
interactions by identical amounts proportional to the interlayer Coulomb
coupling. The intra-Landau-level out-of-phase mode has a gap when the ground
state is incompressible except in the presence of spontaneous inter-layer
coherence. We compare our results with predictions based on the
Chern-Simons-Landau-Ginzburg theory for double-layer quantum Hall systems.Comment: RevTeX, 21 page
Polarization-sensitive absorption of THz radiation by interacting electrons in chirally stacked multilayer graphene
We show that opacity of a clean multilayer graphene flake depends on the
helicity of the circular polarized electromagnetic radiation. The effect can be
understood in terms of the pseudospin selection rules for the interband optical
transitions in the presence of exchange electron-electron interactions which
alter the pseudospin texture in momentum space. The interactions described
within a semi-analytical Hartree--Fock approach lead to the formation of the
topologically different broken--symmetry states characterized by Chern numbers
and zero-field anomalous Hall conductivities.Comment: 6 pages, final versio
Minimum Conductivity and Evidence for Phase Transitions in Ultra-clean Bilayer Graphene
Bilayer graphene (BLG) at the charge neutrality point (CNP) is strongly
susceptible to electronic interactions, and expected to undergo a phase
transition into a state with spontaneous broken symmetries. By systematically
investigating a large number of singly- and doubly-gated bilayer graphene (BLG)
devices, we show that an insulating state appears only in devices with high
mobility and low extrinsic doping. This insulating state has an associated
transition temperature Tc~5K and an energy gap of ~3 meV, thus strongly
suggesting a gapped broken symmetry state that is destroyed by very weak
disorder. The transition to the intrinsic broken symmetry state can be tuned by
disorder, out-of-plane electric field, or carrier density
Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
At strong magnetic fields double-layer two-dimensional-electron-gas systems
can form an unusual broken symmetry state with spontaneous inter-layer phase
coherence. In this paper we explore the rich variety of quantum and
finite-temperature phase transitions associated with this broken symmetry. We
describe the system using a pseudospin language in which the layer
degree-of-freedom is mapped to a fictional spin 1/2 degree-of-freedom. With
this mapping the spontaneous symmetry breaking is equivalent to that of a spin
1/2 easy-plane ferromagnet. In this language spin-textures can carry a charge.
In particular, vortices carry e/2 electrical charge and vortex-antivortex pairs
can be neutral or carry charge e. We derive an effective low-energy action and
use it to discuss the charged and collective neutral excitations of the system.
We have obtained the parameters of the Landau-Ginzburg functional from
first-principles estimates and from finite-size exact diagonalization studies.
We use these results to estimate the dependence of the critical temperature for
the Kosterlitz-Thouless phase transition on layer separation.Comment: 56 pages, 19 figures available upon request at
[email protected]. RevTex 3.0. IUCM94-00
Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene
Graphene is a gapless semiconductor in which conduction and valence band
wavefunctions differ only in the phase difference between their projections
onto the two sublattices of the material's two-dimensional honeycomb crystal
structure. We explain why this circumstance creates openings for broken
symmetry states, including antiferromagnetic states in monolayer and bilayer
graphene and exciton condensates in double-layer graphene, that are momentum
space analogs of the real-space order common in systems with strong local
interactions. We discuss some similarities among, and some differences between,
these three broken symmetry states.Comment: 20 pages 4 figures. Contribution for the Proceedings of the Nobel
Symposium on Graphene. Updated reference
Electromagnetic characteristics and effective gauge theory of double-layer quantum Hall systems
The electromagnetic characteristics of double-layer quantum Hall systems are
studied, with projection to the lowest Landau level taken into account and
intra-Landau-level collective excitations treated in the single-mode
approximation. It is pointed out that dipole-active excitations, both
elementary and collective, govern the long-wavelength features of quantum Hall
systems. In particular, the presence of the dipole-active interlayer
out-of-phase collective excitations, inherent to double-layer systems, modifies
the leading O(k) and O(k^{2}) long-wavelength characteristics (i.e., the
transport properties and characteristic scale) of the double-layer quantum Hall
states substantially. We apply bosonization techniques and construct from such
electromagnetic characteristics an effective theory, which consists of three
vector fields representing the three dipole-active modes, one interlayer
collective mode and two inter-Landau-level cyclotron modes. This effective
theory properly incorporates the spectrum of collective excitations on the
right scale of the Coulomb energy and, in addition, accommodates the favorable
transport properties of the standard Chern-Simons theories.Comment: 10 pages, Revtex, sec. II slightly shortened, to appear in Phys. Rev.
Skyrmion Physics Beyond the Lowest Landau Level Approximation
The effects of Landau level mixing and finite thickness of the
two-dimensional electron gas on the relative stability of skyrmion and single
spin-flip excitations at Landau level filling factor have been
investigated. Landau level mixing is studied by fixed-phase diffusion Monte
Carlo and finite thickness is included by modifying the effective Coulomb
interaction. Both Landau level mixing and finite thickness lower skyrmion
excitation energies and favor skyrmions with fewer spin flips. However, the two
effects do not work `coherently'. When finite thickness is included the effect
of Landau level mixing is strongly suppressed.Comment: 4 pages, 4 figure
Thermal and Tunneling Pair Creation of Quasiparticles in Quantum Hall Systems
We make a semiclassical analysis of thermal pair creations of quasiparticles
at various filling factors in quantum Hall systems. It is argued that the gap
energy is reduced considerably by the Coulomb potential made by impurities. It
is also shown that a tunneling process becomes important at low temperature and
at strong magnetic field. We fit typical experimental data excellently based on
our semiclassical results of the gap energy.Comment: 6 pages, 6 PS figures, to be published in Phys.Rev.
Single-mode approximation and effective Chern-Simons theories for quantum Hall systems
A unified description of elementary and collective excitations in quantum
Hall systems is presented within the single-mode approximation (SMA) framework,
with emphasis on revealing an intimate link with Chern-Simons theories. It is
shown that for a wide class of quantum Hall systems the SMA in general yields,
as an effective theory, a variant of the bosonic Chern-Simons theory. For
single-layer systems the effective theory agrees with the standard Chern-Simons
theory at long wavelengths whereas substantial deviations arise for collective
excitations in bilayer systems. It is suggested, in particular, that Hall-drag
experiments would be a good place to detect out-of-phase collective excitations
inherent to bilayer systems. It is also shown that the intra-Landau-level modes
bear a similarity in structure (though not in scale) to the inter-Landau-level
modes, and its implications on the composite-fermion and composite-boson
theories are discussed.Comment: 9 pages, Revtex
Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
In this article we review the quantum Hall physics of graphene based
two-dimensional electron systems, with a special focus on recent experimental
and theoretical developments. We explain why graphene and bilayer graphene can
be viewed respectively as J=1 and J=2 chiral two-dimensional electron gases
(C2DEGs), and why this property frames their quantum Hall physics. The current
status of experimental and theoretical work on the role of electron-electron
interactions is reviewed at length with an emphasis on unresolved issues in the
field, including assessing the role of disorder in current experimental
results. Special attention is given to the interesting low magnetic field limit
and to the relationship between quantum Hall effects and the spontaneous
anomalous Hall effects that might occur in bilayer graphene systems in the
absence of a magnetic field
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