451 research outputs found
Occupation of a resonant level coupled to a chiral Luttinger liquid
We consider a resonant level coupled to a chiral Luttinger liquid which can
be realized, e.g., at a fractional quantum Hall edge. We study the dependence
of the occupation probability n of the level on its energy \epsilon for various
values of the Luttinger-liquid parameter g. At g<1/2 a weakly coupled level
shows a sharp jump in n(\epsilon) at the Fermi level. As the coupling is
increased, the magnitude of the jump decreases until \sqrt{2g}, and then the
discontinuity in n(\epsilon) disappears. We show that n(\epsilon) can be
expressed in terms of the magnetization of a Kondo impurity as a function of
magnetic field.Comment: 5 pages including 1 figur
Generalized two-leg Hubbard ladder at half-filling: Phase diagram and quantum criticalities
The ground-state phase diagram of the half-filled two-leg Hubbard ladder with
inter-site Coulomb repulsions and exchange coupling is studied by using the
strong-coupling perturbation theory and the weak-coupling bosonization method.
Considered here as possible ground states of the ladder model are four types of
density-wave states with different angular momentum (s-density-wave state,
p-density-wave state, d-density-wave state, and f-density-wave state) and four
types of quantum disordered states, i.e., Mott insulating states (S-Mott,
D-Mott, S'-Mott, and D'-Mott states, where S and D stand for s- and d-wave
symmetry). The s-density-wave state, the d-density-wave state, and the D-Mott
state are also known as the charge-density-wave (CDW) state, the staggered-flux
(SF) state, and the rung-singlet state, respectively. Strong-coupling approach
naturally leads to the Ising model in a transverse field as an effective theory
for the quantum phase transitions between the SF state and the D-Mott state and
between the CDW state and the S-Mott state, where the Ising ordered states
correspond to doubly degenerate ground states in the staggered-flux or the
charge-density-wave state. From the weak-coupling bosonization approach it is
shown that there are three cases in the quantum phase transitions between a
density-wave state and a Mott state: the Ising (Z_2) criticality, the SU(2)_2
criticality, and a first-order transition. The quantum phase transitions
between Mott states and between density-wave states are found to be the U(1)
Gaussian criticality. The ground-state phase diagram is determined by
integrating perturbative renormalization-group equations. It is shown that the
S-Mott state and the SF state exist in the region sandwiched by the CDW phase
and the D-Mott phase.Comment: 21 pages, 10 figure
Resonant tunnelling in interacting 1D systems with an AC modulated gate
We present an analysis of transport properties of a system consisting of two
half-infinite interacting one-dimensional wires connected to a single fermionic
site, the energy of which is subject to a periodic time modulation. Using the
properties of the exactly solvable Toulouse point we derive an integral
equation for the localised level Keldysh Green's function which governs the
behaviour of the linear conductance. We investigate this equation numerically
and analytically in various limits. The period-averaged conductance G displays
a surprisingly rich behaviour depending on the parameters of the system. The
most prominent feature is the emergence of an intermediate temperature regime
at low frequencies, where G is proportional to the line width of the respective
static conductance saturating at a non-universal frequency dependent value at
lower temperatures.Comment: 12 pages, 3 figures (eps files
Conductance of a helical edge liquid coupled to a magnetic impurity
Transport in an ideal two-dimensional quantum spin Hall device is dominated
by the counterpropagating edge states of electrons with opposite spins, giving
the universal value of the conductance, . We study the effect on the
conductance of a magnetic impurity, which can backscatter an electron from one
edge state to the other. In the case of isotropic Kondo exchange we find that
the correction to the electrical conductance caused by such an impurity
vanishes in the dc limit, while the thermal conductance does acquire a finite
correction due to the spin-flip backscattering.Comment: 5 pages, 2 figure
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