573 research outputs found
Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
We study the quantum many-body instabilities of the Kitaev-Heisenberg Hamiltonian on the honeycomb lattice as a
minimal model for a doped spin-orbit Mott insulator. This spin- model is
believed to describe the magnetic properties of the layered transition-metal
oxide NaIrO. We determine the ground-state of the system with finite
charge-carrier density from the functional renormalization group (fRG) for
correlated fermionic systems. To this end, we derive fRG flow-equations adapted
to the lack of full spin-rotational invariance in the fermionic interactions,
here represented by the highly frustrated and anisotropic Kitaev exchange term.
Additionally employing a set of Ward identities for the Kitaev-Heisenberg
model, the numerical solution of the flow equations suggests a rich phase
diagram emerging upon doping charge carriers into the ground-state manifold
( quantum spin liquids and magnetically ordered phases). We
corroborate superconducting triplet -wave instabilities driven by
ferromagnetic exchange and various singlet pairing phases. For filling , the -wave pairing gives rise to a topological state with protected
Majorana edge-modes. For antiferromagnetic Kitaev and ferromagnetic Heisenberg
exchange we obtain bond-order instabilities at van Hove filling supported by
nesting and density-of-states enhancement, yielding dimerization patterns of
the electronic degrees of freedom on the honeycomb lattice. Further, our flow
equations are applicable to a wider class of model Hamiltonians.Comment: 24 pages, 18 figures, corresponds to journal versio
The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
Interference of edge channels is expected to be a prominent tool for studying
statistics of charged quasiparticles in the quantum Hall effect (QHE) [A. Stern
(2008), Ann. Phys. 1:204; C. Chamon et al. (1997), Phys. Rev. B, 55:2331]. We
present here a detailed study of an electronic Fabry-Perot interferometer (FPI)
operating in the QHE regime [C. Chamon et al. (1997), Phys. Rev. B, 55:2331],
with the phase of the interfering quasiparticles controlled by the
Aharonov-Bohm (AB) effect. Our main finding is that Coulomb interactions among
the electrons dominate the interference, even in a relatively large area FPI,
leading to a strong dependence of the area enclosed by the interference loop on
the magnetic field. In particular, for a composite edge structure, with a few
independent edge channels propagating along the edge, interference of the
outmost edge channel (belonging to the lowest Landau level) was insensitive to
magnetic field; suggesting a constant enclosed flux. However, when any of the
inner edge channels interfered, the enclosed flux decreased when the magnetic
field increased. By intentionally varying the enclosed area with a biased
metallic gate and observing the periodicity of the interference pattern,
charges e (for integer filling factors) and e/3 (for a fractional filling
factor) were found to be expelled from the FPI. Moreover, these observations
provided also a novel way of detecting the charge of the interfering
quasiparticles.Comment: 8 pages, 8 figure
Freezing injury to germination of sorghum seed when frozen at different stages of maturity, at different temperatures, and for different lengths of time
Digitized by Kansas State University Librarie
Nonlinear ac conductivity of one-dimensional Mott insulators
We discuss a semiclassical calculation of low energy charge transport in
one-dimensional (1d) insulators with a focus on Mott insulators, whose charge
degrees of freedom are gapped due to the combination of short range
interactions and a periodic lattice potential. Combining RG and instanton
methods, we calculate the nonlinear ac conductivity and interpret the result in
terms of multi-photon absorption. We compare the result of the semiclassical
calculation for interacting systems to a perturbative, fully quantum mechanical
calculation of multi-photon absorption in a 1d band insulator and find good
agreement when the number of simultaneously absorbed photons is large.Comment: Dedicated to Thomas Nattermann on the occasion of his 60th birthday.
To appear in JSTAT. 5 pages, 2 figure
Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit
We address the problem of a Luttinger liquid with a scatterer that allows for
both coherent and incoherent scattering channels. The asymptotic behavior at
zero temperature is governed by a new stable fixed point: a Goldstone mode
dominates the low energy dynamics, leading to a universal behavior. This limit
is marked by equal probabilities for forward and backward scattering.
Notwithstanding this non-trivial scattering pattern, we find that the shot
noise as well as zero cross-current correlations vanish. We thus present a
paradigmatic picture of an impurity in the Luttinger model, alternative to the
Kane-Fisher picture.Comment: published version, 4 + epsilon pages, 1 figur
The UK market for energy service contracts in 2014–2015
This paper provides an overview of the UK market for energy service contracts in 2014 and highlights the growing role of intermediaries. Using information from secondary literature and interviews, it identifies the businesses offering energy service contracts, the sectors and organisations that are purchasing those contracts, the types of contract that are available, the areas of market growth and the reasons for that growth. The paper finds that the UK market is relatively large, highly diverse, concentrated in particular sectors and types of site and overwhelmingly focused upon established technologies with high rates of return. A major driver is the emergence of procurement frameworks for energy service contracts in the public sector. These act as intermediaries between clients and contractors, thereby lowering transaction costs and facilitating learning. The market is struggling to become established in commercial offices, largely as a result of split incentives, and is unlikely to develop further in this sector without different business models, tenancy arrangements and policy initiatives. Overall, the paper concludes that energy service contracts can play an important role in the transition to a low-carbon economy, especially when supported by intermediaries, but their potential is still limited by high transaction costs
Tricritical behaviour of Ising spin glasses with charge fluctuations
We show that tricritical points displaying unusal behaviour exist in phase
diagrams of fermionic Ising spin glasses as the chemical potential or the
filling assumes characteristic values. Exact results for infinite range
interaction and a one loop renormalization group analysis of thermal
tricritical fluctuations for finite range models are presented. Surprising
similarities with zero temperature transitions and a new tricritical
point of metallic quantum spin glasses are derived.Comment: 4 pages, 1 Postscript figure, minor change
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