8,321 research outputs found
Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice
We study a mixture of ultracold spin-half fermionic and spin-one bosonic
atoms in a shallow optical lattice where the bosons are coupled to the fermions
via both density-density and spin-spin interactions. We consider the parameter
regime where the bosons are in a superfluid ground state, integrate them out,
and obtain an effective action for the fermions. We carry out a renormalization
group analysis of this effective fermionic action at low temperatures, show
that the presence of the spinor bosons may lead to a separation of Fermi
surfaces of the spin-up and spin-down fermions, and investigate the parameter
range where this phenomenon occurs. We also calculate the susceptibilities
corresponding to the possible superfluid instabilities of the fermions and
obtain their possible broken-symmetry ground states at low temperatures and
weak interactions.Comment: 8 pages, 8 figs v
Spin injection into a metal from a topological insulator
We study a junction of a topological insulator with a thin two-dimensional
(2D) non-magnetic or partially polarized ferromagnetic metallic film deposited
on a 3D insulator. We show that such a junction leads to a finite spin current
injection into the film whose magnitude can be controlled by tuning a voltage
applied across the junction. For ferromagnetic films, the direction of the
component of the spin current along the film magnetization can also be tuned by
tuning the barrier potential at the junction. We point out the role of
the chiral spin-momentum locking of the Dirac electrons behind this phenomenon
and suggest experiments to test our theory.Comment: Revised version with supplemental material
Fermionic Chern-Simons Theory of SU(4) Fractional Quantum Hall Effect
We develop a Fermionic Chern-Simons (CS) theory for the fractional quantum
Hall effect in monolayer graphene with SU(4) symmetry, arising from the spin
and the valley degrees of freedom, which involves four distinct CS gauge
fields. We choose the corresponding elements of the CS coupling matrix such
that an even number of spin and valley quantum number dependent flux quanta is
attached to all electrons and that any electron with a given spin and valley
quantum number sees an integer number of flux attached to other electrons with
different (spin and valley) quantum numbers. Using this CS matrix, we obtain a
list of possible fractional quantum Hall states that might occur in graphene
and propose wavefunctions for those states. Our analysis also applies to
fractional quantum Hall states of both bilayer quantum Hall systems without
spin polarization and bilayer spin polarized graphene.Comment: v1; 1 Fig, 2 Tables, 7+ page
Superfluid-Insulator transitions of bosons on Kagome lattice at non-integer fillings
We study the superfluid-insulator transitions of bosons on the Kagome lattice
at incommensurate filling factors f=1/2 and 2/3 using a duality analysis. We
find that at f=1/2 the bosons will always be in a superfluid phase and
demonstrate that the T_3 symmetry of the dual (dice) lattice, which results in
dynamic localization of vortices due to the Aharanov-Bohm caging effect, is at
the heart of this phenomenon. In contrast, for f=2/3, we find that the bosons
exhibit a quantum phase transition between superfluid and translational
symmetry broken Mott insulating phases. We discuss the possible broken
symmetries of the Mott phase and elaborate the theory of such a transition.
Finally we map the boson system to a XXZ spin model in a magnetic field and
discuss the properties of this spin model using the obtained results.Comment: 10 pages, 8 figures, a few typos correcte
Magnetotransport of Dirac Fermions on the surface of a topological insulator
We study the properties of Dirac fermions on the surface of a topological
insulator in the presence of crossed electric and magnetic fields. We provide
an exact solution to this problem and demonstrate that, in contrast to their
counterparts in graphene, these Dirac fermions allow relative tuning of the
orbital and Zeeman effects of an applied magnetic field by a crossed electric
field along the surface. We also elaborate and extend our earlier results on
normal metal-magnetic film-normal metal (NMN) and normal metal-barrier-magnetic
film (NBM) junctions of topological insulators [Phys. Rev. Lett. {\bf 104},
046403 (2010)]. For NMN junctions, we show that for Dirac fermions with Fermi
velocity , the transport can be controlled using the exchange field
of a ferromagnetic film over a region of width . The
conductance of such a junction changes from oscillatory to a monotonically
decreasing function of beyond a critical which leads to the
possible realization of magnetic switches using these junctions. For NBM
junctions with a potential barrier of width and potential , we find
that beyond a critical , the criteria of conductance maxima
changes from to for
integer . Finally, we compute the subgap tunneling conductance of a normal
metal-magnetic film-superconductor (NMS) junctions on the surface of a
topological insulator and show that the position of the peaks of the zero-bias
tunneling conductance can be tuned using the magnetization of the ferromagnetic
film. We point out that these phenomena have no analogs in either conventional
two-dimensional materials or Dirac electrons in graphene and suggest
experiments to test our theory.Comment: 11 pages, 12 figures; v
Tuning the conductance of Dirac fermions on the surface of a topological insulator
We study the transport properties of the Dirac fermions with Fermi velocity
on the surface of a topological insulator across a ferromagnetic strip
providing an exchange field over a region of width . We show
that the conductance of such a junction changes from oscillatory to a
monotonically decreasing function of beyond a critical . This
leads to the possible realization of a magnetic switch using these junctions.
We also study the conductance of these Dirac fermions across a potential
barrier of width and potential in the presence of such a
ferromagnetic strip and show that beyond a critical , the
criteria of conductance maxima changes from
to for integer . We point out that these novel phenomena
have no analogs in graphene and suggest experiments which can probe them.Comment: v1 4 pages 5 fig
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