1,839 research outputs found
Polarons in suspended carbon nanotubes
We prove theoretically the possibility of electric-field controlled polaron
formation involving flexural (bending) modes in suspended carbon nanotubes.
Upon increasing the field, the ground state of the system with a single extra
electron undergoes a first order phase transition between an extended state and
a localized polaron state. For a common experimental setup, the threshold
electric field is only of order V/m
Pairing interactions and pairing mechanism in high temperature copper oxide superconductors
The polaron binding energy E_{p} in undoped parent cuprates has been
determined to be about 1.0 eV from the unconventional oxygen-isotope effect on
the antiferromagnetic ordering temperature. The deduced value of E_{p} is in
quantitative agreement with that estimated from independent optical data and
that estimated theoretically from the measured dielectric constants. The
substantial oxygen-isotope effect on the in-plane supercarrier mass observed in
optimally doped cuprates suggests that polarons are bound into the Cooper
pairs. We also identify the phonon modes that are strongly coupled to
conduction electrons from the angle-resolved photoemission spectroscopy,
tunneling spectra, and optical data. We consistently show that there is a very
strong electron-phonon coupling feature at a phonon energy of about 20 meV
along the antinodal direction and that this coupling becomes weaker towards the
diagonal direction. We further show that high-temperature superconductivity in
cuprates is caused by strong electron-phonon coupling, polaronic effect, and
significant coupling with 2 eV Cu-O charge transfer fluctuation.Comment: 11 pages, 7 figure
Electron relaxation in metals: Theory and exact analytical solutions
The non-equilibrium dynamics of electrons is of a great experimental and
theoretical value providing important microscopic parameters of the Coulomb and
electron-phonon interactions in metals and other cold plasmas. Because of the
mathematical complexity of collision integrals theories of electron relaxation
often rely on the assumption that electrons are in a "quasi-equilibrium" (QE)
with a time-dependent temperature, or on the numerical integration of the
time-dependent Boltzmann equation. We transform the integral Boltzmann equation
to a partial differential Schroedinger-like equation with imaginary time in a
one-dimensional "coordinate" space reciprocal to energy which allows for exact
analytical solutions in both cases of electron-electron and electron-phonon
relaxation. The exact relaxation rates are compared with the QE relaxation
rates at high and low temperatures.Comment: Citation list has been extended. The paper is submitted to the
Physical Review
S-duality in Twistor Space
In type IIB string compactifications on a Calabi-Yau threefold, the
hypermultiplet moduli space must carry an isometric action of the modular
group SL(2,Z), inherited from the S-duality symmetry of type IIB string theory
in ten dimensions. We investigate how this modular symmetry is realized at the
level of the twistor space of , and construct a general class of
SL(2,Z)-invariant quaternion-Kahler metrics with two commuting isometries,
parametrized by a suitably covariant family of holomorphic transition
functions. This family should include corrected by D3-D1-D(-1)-instantons
(with fivebrane corrections ignored) and, after taking a suitable rigid limit,
the Coulomb branch of five-dimensional N=2 gauge theories compactified on a
torus, including monopole string instantons. These results allow us to
considerably simplify the derivation of the mirror map between type IIA and IIB
fields in the sector where only D1-D(-1)-instantons are retained.Comment: 29 pages, 1 figur
D3-instantons, Mock Theta Series and Twistors
The D-instanton corrected hypermultiplet moduli space of type II string
theory compactified on a Calabi-Yau threefold is known in the type IIA picture
to be determined in terms of the generalized Donaldson-Thomas invariants,
through a twistorial construction. At the same time, in the mirror type IIB
picture, and in the limit where only D3-D1-D(-1)-instanton corrections are
retained, it should carry an isometric action of the S-duality group SL(2,Z).
We prove that this is the case in the one-instanton approximation, by
constructing a holomorphic action of SL(2,Z) on the linearized twistor space.
Using the modular invariance of the D4-D2-D0 black hole partition function, we
show that the standard Darboux coordinates in twistor space have modular
anomalies controlled by period integrals of a Siegel-Narain theta series, which
can be canceled by a contact transformation generated by a holomorphic mock
theta series.Comment: 42 pages; discussion of isometries is amended; misprints correcte
Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
In view of some recent works on the role of vertex corrections in the
electron-phonon system we readress an important question of the validity of the
Migdal-Eliashberg theory.
Based on the solution of the Holstein model and inverse coupling constant
expansion, we argue that the standard Feynman-Dyson perturbation theory by
Migdal and Eliashberg with or without vertex corrections cannot be applied if
the electron-phonon coupling constant is larger than 1 for any ratio
of the phonon and Fermi energies.
In the extreme adiabatic limit of the Holstein model electrons collapse into
self-trapped small polarons or bipolarons due to spontaneous
translational-symmetry breaking when is between 0.5 and 1.3
(depending on the lattice dimensionality). With the increasing phonon frequency
the region of the applicability of the theory shrinks to lower values of the
coupling constant.Comment: 4 pages, 1 figur
Digital Quantum Simulation of the Holstein Model in Trapped Ions
We propose the implementation of the Holstein model by means of digital
methods in a linear chain of trapped ions. We show how the simulation fidelity
scales with the generation of phononic excitations. We propose a decomposition
and a stepwise trapped-ion implementation of the Holstein Hamiltonian. Via
numerical simulations, we study how the protocol is affected by realistic
gates. Finally, we show how measurements of the size of the simulated polaron
can be performed.Comment: 5 pages + supplemental material, 3+3 figures. Accepted in Physical
Review Letter
Superlight small bipolarons
Recent angle-resolved photoemission spectroscopy (ARPES) has identified that
a finite-range Fr\"ohlich electron-phonon interaction (EPI) with c-axis
polarized optical phonons is important in cuprate superconductors, in agreement
with an earlier proposal by Alexandrov and Kornilovitch. The estimated
unscreened EPI is so strong that it could easily transform doped holes into
mobile lattice bipolarons in narrow-band Mott insulators such as cuprates.
Applying a continuous-time quantum Monte-Carlo algorithm (CTQMC) we compute the
total energy, effective mass, pair radius, number of phonons and isotope
exponent of lattice bipolarons in the region of parameters where any
approximation might fail taking into account the Coulomb repulsion and the
finite-range EPI. The effects of modifying the interaction range and different
lattice geometries are discussed with regards to analytical
strong-coupling/non-adiabatic results. We demonstrate that bipolarons can be
simultaneously small and light, provided suitable conditions on the
electron-phonon and electron-electron interaction are satisfied. Such light
small bipolarons are a necessary precursor to high-temperature Bose-Einstein
condensation in solids. The light bipolaron mass is shown to be universal in
systems made of triangular plaquettes, due to a novel crab-like motion. Another
surprising result is that the triplet-singlet exchange energy is of the first
order in the hopping integral and triplet bipolarons are heavier than singlets
in certain lattice structures at variance with intuitive expectations. Finally,
we identify a range of lattices where superlight small bipolarons may be
formed, and give estimates for their masses in the anti-adiabatic
approximation.Comment: 31 pages. To appear in J. Phys.: Condens. Matter, Special Issue
'Mott's Physics
Nonlinear dynamics of mushy layers induced by external stochastic fluctuations
The time-dependent process of directional crystallization in the presence of a mushy layer is considered with allowance for arbitrary fluctuations in the atmospheric temperature and friction velocity. A nonlinear set of mushy layer equations and boundary conditions is solved analytically when the heat and mass fluxes at the boundary between the mushy layer and liquid phase are induced by turbulent motion in the liquid and, as a result, have the corresponding convective form. Namely, the âsolid phaseâmushy layerâ and âmushy layerâliquid phaseâ phase transition boundaries as well as the solid fraction, temperature and concentration (salinity) distributions are found. If the atmospheric temperature and friction velocity are constant, the analytical solution takes a parametric form. In the more common case when they represent arbitrary functions of time, the analytical solution is given by means of the standard Cauchy problem. The deterministic and stochastic behaviour of the phase transition process is analysed on the basis of the obtained analytical solutions. In the case of stochastic fluctuations in the atmospheric temperature and friction velocity, the phase transition interfaces (mushy layer boundaries) move faster than in the deterministic case. A cumulative effect of these noise contributions is revealed as well. In other words, when the atmospheric temperature and friction velocity fluctuate simultaneously due to the influence of different external processes and phenomena, the phase transition boundaries move even faster. This article is part of the theme issue âFrom atomistic interfaces to dendritic patternsâ. 10.1098/rsta.2017.0216Ministry of Education and Science of the Russian Federation, Minobrnauka: 1.9527.2017/8.9Data accessibility. This article has no additional data. Authorsâ contributions. All authors contributed equally to the present research article. Competing interests. We declare we have no competing interests. Funding. This work was supported by the Ministry of Education and Science of the Russian Federation (project no. 1.9527.2017/8.9)
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