168 research outputs found
Pairing and density-wave phases in Boson-Fermion mixtures at fixed filling
We study a mixture of fermionic and bosonic cold atoms on a two-dimensional
optical lattice, where the fermions are prepared in two hyperfine (isospin)
states and the bosons have Bose-Einstein condensed (BEC). The coupling between
the fermionic atoms and the bosonic fluctuations of the BEC has similarities
with the electron-phonon coupling in crystals. We study the phase diagram for
this system at fixed fermion density of one per site (half-filling). We find
that tuning of the lattice parameters and interaction strengths (for
fermion-fermion, fermion-boson and boson-boson interactions) drives the system
to undergo antiferromagnetic ordering, s-wave and d-wave pairing
superconductivity or a charge density wave phase. We use functional
renormalization group analysis where retardation effects are fully taken into
account by keeping the frequency dependence of the interaction vertices and
self-energies. We calculate response functions and also provide estimates of
the energy gap associated with the dominant order, and how it depends on
different parameters of the problem.Comment: 5 pages, 3 figure
Tunneling between bilayer quantum Hall structures in a strong magnetic field
We calculate the tunneling current in a quantum Hall bilayer system in the
strong magnetic field limit. We model the bilayer electron system as two Wigner
crystals coupled through interlayer Coulomb interactions, treated in the
continuum limit. We generalized the Johansson and Kinaret (JK) model and were
able to study the effect of the low energy out-of-phase magnetophonon modes
produced as a result of tunneling events. We find the same scaling behavior of
the tunneling current peak with the magnetic field as found by JK but were able
to find the tunneling current scaling behavior with interlayer distance as
well.Comment: 4 pages, 1 figure, SemiMag16 conference paper to be published in
International Journal of Modern Physics
Phonon-mediated tuning of instabilities in the Hubbard model at half-filling
We obtain the phase diagram of the half-filled two-dimensional Hubbard model
on a square lattice in the presence of Einstein phonons. We find that the
interplay between the instantaneous electron-electron repulsion and
electron-phonon interaction leads to new phases. In particular, a
d-wave superconducting phase emerges when both anisotropic phonons
and repulsive Hubbard interaction are present. For large electron-phonon
couplings, charge-density-wave and s-wave superconducting regions also appear
in the phase diagram, and the widths of these regions are strongly dependent on
the phonon frequency, indicating that retardation effects play an important
role. Since at half-filling the Fermi surface is nested, spin-density-wave is
recovered when the repulsive interaction dominates. We employ a functional
multiscale renormalization-group method that includes both electron-electron
and electron-phonon interactions, and take retardation effects fully into
account.Comment: 8 pages, 5 figure
Static and dynamic properties of crystalline phases of two-dimensional electrons in a strong magnetic field
We study the cohesive energy and elastic properties as well as normal modes
of the Wigner and bubble crystals of the two-dimensional electron system (2DES)
in higher Landau levels. Using a simple Hartree-Fock approach, we show that the
shear moduli ('s) of these electronic crystals show a non-monotonic
behavior as a function of the partial filling factor at any given
Landau level, with increasing for small values of , before
reaching a maximum at some intermediate filling factor , and
monotonically decreasing for . We also go beyond previous
treatments, and study how the phase diagram and elastic properties of electron
solids are changed by the effects of screening by electrons in lower Landau
levels, and by a finite thickness of the experimental sample. The implications
of these results on microwave resonance experiments are briefly discussed.Comment: Discussion updated - 16 pages, 10 figures; version accepted for
publication in Phys. Rev.
Spin coupling in zigzag Wigner crystals
We consider interacting electrons in a quantum wire in the case of a shallow
confining potential and low electron density. In a certain range of densities,
the electrons form a two-row (zigzag) Wigner crystal whose spin properties are
determined by nearest and next-nearest neighbor exchange as well as by three-
and four-particle ring exchange processes. The phase diagram of the resulting
zigzag spin chain has regions of complete spin polarization and partial spin
polarization in addition to a number of unpolarized phases, including
antiferromagnetism and dimer order as well as a novel phase generated by the
four-particle ring exchange.Comment: 12 pages, 9 figure
Anisotropic states of two-dimensional electrons in high magnetic fields
We study the collective states formed by two-dimensional electrons in Landau
levels of index near half-filling. By numerically solving the
self-consistent Hartree-Fock (HF) equations for a set of oblique
two-dimensional lattices, we find that the stripe state is an anisotropic
Wigner crystal (AWC), and determine its precise structure for varying values of
the filling factor. Calculating the elastic energy, we find that the shear
modulus of the AWC is small but finite (nonzero) within the HF approximation.
This implies, in particular, that the long-wavelength magnetophonon mode in the
stripe state vanishes like as in an ordinary Wigner crystal, and not
like as was found in previous studies where the energy of shear
deformations was neglected.Comment: minor corrections; 5 pages, 4 figures; version to be published in
Physical Review Letter
Electron waves in chemically substituted graphene
We present exact analytical and numerical results for the electronic spectra
and the Friedel oscillations around a substitutional impurity atom in a
graphene lattice. A chemical dopant in graphene introduces changes in the
on-site potential as well as in the hopping amplitude. We employ a T-matrix
formalism and find that disorder in the hopping introduces additional
interference terms around the impurity that can be understood in terms of
bound, semi-bound, and unbound processes for the Dirac electrons. These
interference effects can be detected by scanning tunneling microscopy.Comment: 4 pages, 7 figure
Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
We study the spin-1/2 two-leg Heisenberg ladder with four-spin ring exchanges
under a magnetic field. We introduce an exact duality transformation which is
an extension of the spin-chirality duality developed previously and yields a
new self-dual surface in the parameter space. We then determine the magnetic
phase diagram using the numerical approaches of the density-matrix
renormalization-group and exact diagonalization methods. We demonstrate the
appearance of a magnetization plateau and the Tomonaga-Luttinger liquid with
dominant vector-chirality quasi-long-range order for a wide parameter regime of
strong ring exchange. A "nematic" phase, in which magnons form bound pairs and
the magnon-pairing correlation functions dominate, is also identified.Comment: 18pages, 7 figure
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