384 research outputs found
Time-reversal symmetry breaking by a density-wave state in underdoped cuprate superconductors
It was proposed that the density-wave state (DDW) may be
responsible for the pseudogap behavior in the underdoped cuprates. Here we show
that the admixture of a small component to the DDW state breaks the
symmetry between the counter-propagating orbital currents of the DDW state and,
thus, violates the macroscopic time-reversal symmetry. This symmetry breaking
results in a non-zero polar Kerr effect, which has recently been observed in
the pseudogap phase.Comment: 4 pages, 3 eps figures; minor typos corrected, references updated,
new title as suggested by the PRL editor; references updated, final version
as published in PR
On the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem
We prove that the number of limit cycles generated by a small
non-conservative perturbation of a Hamiltonian polynomial vector field on the
plane, is bounded by a double exponential of the degree of the fields. This
solves the long-standing tangential Hilbert 16th problem. The proof uses only
the fact that Abelian integrals of a given degree are horizontal sections of a
regular flat meromorphic connection (Gauss-Manin connection) with a
quasiunipotent monodromy group.Comment: Final revisio
Edge electron states for quasi-one-dimensional organic conductors in the magnetic-field-induced spin-density-wave phases
We develop a microscopic picture of the electron states localized at the
edges perpendicular to the chains in the Bechgaard salts in the quantum Hall
regime. In a magnetic-field-induced spin-density-wave state (FISDW)
characterized by an integer N, there exist N branches of chiral gapless edge
excitations. Localization length is much longer and velocity much lower for
these states than for the edge states parallel to the chains. We calculate the
contribution of these states to the specific heat and propose a time-of-flight
experiment to probe the propagating edge modes directly.Comment: 4 pages, 2 figures. V.2: Minor changes to the final version published
in PR
A study on correlation effects in two dimensional topological insulators
We investigate correlation effects in two dimensional topological insulators
(TI). In the first part, we discuss finite size effects for interacting systems
of different sizes in a ribbon geometry. For large systems, there are two pairs
of well separated massless modes on both edges. For these systems, we analyze
the finite size effects using a standard bosonization approach. For small
systems, where the edge states are massive Dirac fermions, we use the
inhomogeneous dynamical mean field theory (DMFT) combined with iterative
perturbation theory as an impurity solver to study interaction effects. We show
that the finite size gap in the edge states is renormalized for weak
interactions, which is consistent with a Fermi-liquid picture for small size
TIs. In the second part, we investigate phase transitions in finite size TIs at
zero temperature focusing on the effects of possible inter-edge Umklapp
scattering for the edge states within the inhomogeneous DMFT using the
numerical renormalization group. We show that correlation effects are
effectively stronger near the edge sites because the coordination number is
smaller than in the bulk. Therefore, the localization of the edge states around
the edge sites, which is a fundamental property in TIs, is weakened for strong
coupling strengths. However, we find no signs for "edge Mott insulating states"
and the system stays in the topological insulating state, which is
adiabatically connected to the non-interacting state, for all interaction
strengths smaller than the critical value. Increasing the interaction further,
a nearly homogeneous Mott insulating state is stabilized.Comment: 20 page
Theory of Thermodynamic Magnetic Oscillations in Quasi-One-Dimensional Conductors
The second order correction to free energy due to the interaction between
electrons is calculated for a quasi-one-dimensional conductor exposed to a
magnetic field perpendicular to the chains. It is found that specific heat,
magnetization and torque oscillate when the magnetic field is rotated in the
plane perpendicular to the chains or when the magnitude of magnetic filed is
changed. This new mechanism of thermodynamic magnetic oscillations in metals,
which is not related to the presence of any closed electron orbits, is applied
to explain behavior of the organic conductor (TMTSF)ClO.Comment: 11 pages + 5 figures (included
Collective modes in a system with two spin-density waves: the `Ribault' phase of quasi-one-dimensional organic conductors
We study the long-wavelength collective modes in the magnetic-field-induced
spin-density-wave (FISDW) phases experimentally observed in organic conductors
of the Bechgaard salts family, focusing on phases that exhibit a sign reversal
of the quantum Hall effect (Ribault anomaly). We have recently proposed that
two SDW's coexist in the Ribault phase, as a result of Umklapp processes. When
the latter are strong enough, the two SDW's become circularly polarized
(helicoidal SDW's). In this paper, we study the collective modes which result
from the presence of two SDW's. We find two Goldstone modes, an out-of-phase
sliding mode and an in-phase spin-wave mode, and two gapped modes. The sliding
Goldstone mode carries only a fraction of the total optical spectral weight,
which is determined by the ratio of the amplitude of the two SDW's. In the
helicoidal phase, all the spectral weight is pushed up above the SDW gap. We
also point out similarities with phase modes in two-band or bilayer
superconductors. We expect our conclusions to hold for generic two-SDW systems.Comment: Revised version, 25 pages, RevTex, 7 figure
Sign reversals of the quantum Hall effect and helicoidal magnetic-field-induced spin-density waves in quasi-one-dimensional organic conductors
We study the effect of umklapp scattering on the magnetic-field-induced
spin-density-wave phases, which are experimentally observed in the
quasi-one-dimensional organic conductors of the Bechgaard salts family. Within
the framework of the quantized nesting model, we show that umklapp processes
may naturally explain sign reversals of the quantum Hall effect (QHE) observed
in these conductors. Moreover, umklapp scattering can change the polarization
of the spin-density wave (SDW) from linear (sinusoidal SDW) to circular
(helicoidal SDW). The QHE vanishes in the helicoidal phases, but a
magnetoelectric effect appears. These two characteristic properties may be
utilized to detect the magnetic-field-induced helicoidal SDW phases
experimentally.Comment: 4 pages, latex, 3 figure
Physics of the Insulating Phase in the Dilute Two-Dimensional Electron Gas
We propose to use the radio-frequency single-electron transistor as an
extremely sensitive probe to detect the time-periodic ac signal generated by
sliding electron lattice in the insulating state of the dilute two-dimensional
electron gas. We also propose to use the optically-pumped NMR technique to
probe the electron spin structure of the insulating state. We show that the
electron effective mass and spin susceptibility are strongly enhanced by
critical fluctuations of electron lattice in the vicinity of the
metal-insulator transition, as observed in experiment.Comment: 5 pages, 2 figures, uses jetpl.cls (included). v.4: After publication
in JETP Letters, two plots comparing theory and experiment are added, and a
minor error is correcte
Effect of umklapp scattering on the magnetic-field-induced spin-density waves in quasi-one-dimensional organic conductors
We study the effect of umklapp scattering on the magnetic-field-induced
spin-density-wave (FISDW) phases which are experimentally observed in the
quasi-one-dimensional organic conductors of the Bechgaard salts family. Within
the framework of the quantized nesting model, we show that the transition
temperature is determined by a modified Stoner criterion which includes the
effect of umklapp scattering. We determine the SDW polarization (linear or
circular) by analyzing the Ginzburg-Landau expansion of the free energy. We
also study how umklapp processes modify the quantum Hall effect (QHE) and the
spectrum of the FISDW phases. We find that umklapp scattering stabilizes phases
which exhibit a sign reversal of the QHE, as experimentally observed in the
Bechgaard salts. These ``negative'' phases are characterized by the
simultaneous existence of two SDWs with comparable amplitudes. As the umklapp
scattering strength increases, they may become helicoidal (circularly polarized
SDWs). The QHE vanishes in the helicoidal phases, but a magnetoelectric effect
appears. These two characteristic properties may be utilized to detect the
magnetic-field-induced helicoidal SDW phases experimentally.Comment: Revtex, 27 pages, 9 figure
Hall Effect in a Quasi-One-Dimensional System
We consider the Hall effect in a system of weakly coupled one-dimensional
chains with Luttinger interaction within each chain. We construct a
perturbation theory in the inter-chain hopping term and find that there is a
power law dependence of the Hall conductivity on the magnetic field with an
exponent depending on the interaction constant. We show that this perturbation
theory becomes valid if the magnetic field is sufficiently large.Comment: 20 page
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