arXiv subjects

R. A. Römer

Publications and source records attributed to R. A. Römer.

15 recordsLinked to original sources

arXiv2017

Dispersion map induced energy transfer between solitons in optical fibres

We propose an experimental setup to study collision-induced soliton amplification. In an optical fibre with anomalous dispersion ($β_2 < 0$), we replace a small region of the fibre with a normal dispersion fibre ($β_2 > 0$). We show that solitons colliding in this region are able to exchange energy. Depending on the relative phase of the soliton pair, we find that the energy transfer can lead to an energy gain in excess of $20\%$ for each collision. A sequence of such events can be used to enhance the energy gain even further, allowing the possibility of considerable soliton amplification. This energy transfer does not require a third order dispersion or Raman term.

physics.optics↗

arXiv2017

Spin-polarized electric current in silicene nanoribbons induced by atomic adsorption

We investigate the nonequilibrium transport properties of a silicene armchair nanoribbon with a random distribution of adsorbed atoms in apex positions. A ferromagnetic insulator grown below the nanoribbon splits spin-up and spin-down electron bands and gives rise to a spin polarization of the conductance. The conductance vanishes when the Fermi energy matches the adatom levels due to the coupling of adatom localized states with the continuum spectra of the nanoribbon. This is the well-known Fano effect, resulting in a spin-dependent antiresonance in the conductance. The different antiresonance energies of spin-up and spin-down electrons give rise to a full spin polarization of the conductance in a broad energy window. This spin-dependent Fano effect opens the possibility to using it in spintronics as a tuneable source of polarized electrons.

cond-mat.mes-hall↗

arXiv2014

Characterizing the folding core of the cyclophilin A - cyclosporin A complex I: hydrogen exchange data and rigidity analysis

The determination of a 'folding core' can help to provide insight into the structure, flexibility, mobility and dynamics, and hence, ultimately, function of a protein - a central concern of structural biology. Changes in the folding core upon ligand binding are of particular interest because they may be relevant to drug-induced functional changes. Cyclophilin A is a multi-functional ligand-binding protein and a significant drug target. It acts principally as an enzyme during protein folding, but also as the primary binding partner for the immunosuppressant drug cyclosporin A (CsA). Here, we have used hydrogen-deuterium exchange (HDX) NMR spectroscopy to determine the folding core of the CypA-CsA complex. We also use the rapid computational tool of rigidity analysis, implemented in FIRST, to determine a theoretical folding core of the complex. In addition we generate a theoretical folding core for the unbound protein and compare this with previously published HDX data. The FIRST method gives a good prediction of the HDX folding core, but we find that it is not yet sufficiently sensitive to predict the effects of ligand binding on CypA.

q-bio.BM↗

arXiv2013

Localisation and finite-size effects in graphene flakes

We show that electron states in disordered graphene, with an onsite potential that induces inter-valley scattering, are localised for all energies at disorder as small as 1/6 of the band width of clean graphene. We clarify that, in order for this Anderson-type localisation to be manifested, graphene flakes of size of approximately 200 x 200 nm^2 or larger are needed. For smaller samples, due to the surprisingly large extent of the electronic wave functions, a regime of apparently extended (or even critical) states is identified. Our results complement earlier studies of macroscopically large samples and can explain the divergence of results for finite-size graphene flakes.

cond-mat.mes-hall↗

arXiv2012

Rapid simulation of protein motion: merging flexibility, rigidity and normal mode analyses

Protein function frequently involves conformational changes with large amplitude on timescales which are difficult and computationally expensive to access using molecular dynamics. In this paper, we report on the combination of three computationally inexpensive simulation methods-normal mode analysis using the elastic network model, rigidity analysis using the pebble game algorithm, and geometric simulation of protein motion-to explore conformational change along normal mode eigenvectors. Using a combination of ELNEMO and FIRST/FRODA software, large-amplitude motions in proteins with hundreds or thousands of residues can be rapidly explored within minutes using desktop computing resources. We apply the method to a representative set of six proteins covering a range of sizes and structural characteristics and show that the method identifies specific types of motion in each case and determines their amplitude limits.

q-bio.BM↗

arXiv2011

Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly two-dimensional with finite radius-to-width ratio. We present an analytic solution of the problem when the electron-hole interaction is short-ranged. The oscillatory dependence of the oscillator strength as a function of the magnetic flux is attributed to the Aharonov-Bohm effect. The amplitude of the oscillations changes upon increasing the width of the quantum ring. We find that the Aharonov-Bohm oscillations of the ground state of the exciton decrease with increasing the width, but remarkably the amplitude remains finite down to radius-to-width ratios less than unity. We attribute this resilience of the excitonic oscillations to the non-simply connectedness of our chosen confinement potential.

cond-mat.mes-hall↗

arXiv2011

Magnetoplasmons bound to short-range impurities in graphene: Symmetries and optics

We consider a graphene sheet in the presence of a strong perpendicular magnetic field with a single short-range delta-impurity situated at one of the carbon sites. We study the neutral inter-Landau level collective excitations, magnetoplasmons, which become localized on the impurity. Some of these excitations involve a pseudospin flip (intervalley transitions), since the impurity can scatter electrons between the two valleys. We propose a classification of states of the excitations in graphene and introduce the appropriate quantum numbers. The energies and optical strengths of collective excitations are calculated for a range of integer filling factors and impurity strengths. We establish a set of symmetries matching the energies and absorption strengths of collective excitations for different sublattice locations of the impurity, filling factors, circular light polarizations and signs of the impurity potential.

cond-mat.str-el↗

arXiv2008

Hartree-Fock Interactions in the Integer Quantum Hall Effect

We report on numerical studies into the interplay of disorder and electron-electron interactions within the integer quantum Hall regime, where the presence of a strong magnetic field and two-dimensional confinement of the electronic system profoundly affects thermodynamic and transport properties. We emphasise the behaviour of the electronic compressibility, the local density of states, and the Kubo conductivity. Our treatment of the electron-electron interactions relies on the Hartree-Fock approximation so as to achieve system sizes comparable to experimental situations. Our results clearly exhibit manifestations of various interaction-mediated features, such as non-linear screening, local charging, and g-factor enhancement, implying the inadequacy of independent-particle models for comparison with experimental results.

cond-mat.mes-hall↗

arXiv2007

Tight-binding modeling of charge migration in DNA devices

Long range charge transfer experiments in DNA oligomers and the subsequently measured -- and very diverse -- transport response of DNA wires in solid state experiments exemplifies the need for a thorough theoretical understanding of charge migration in DNA-based natural and artificial materials. Here we present a review of tight-binding models for DNA conduction which have the intrinsic merit of containing more structural information than plain rate-equation models while still retaining sufficient detail of the electronic properties. This allows for simulations of transport properties to be more manageable with respect to density functional theory methods or correlated first principle algorithms.

q-bio.GN↗

arXiv2002

Finite-Size Scaling of the Level Compressibility at the Anderson Transition

We compute the number level variance $Σ_{2}$ and the level compressibility $χ$ from high precision data for the Anderson model of localization and show that they can be used in order to estimate the critical properties at the metal-insulator transition by means of finite-size scaling. With $N$, $W$, and $L$ denoting, respectively, system size, disorder strength, and the average number of levels in units of the mean level spacing, we find that both $χ(N,W)$ and the integrated $Σ_{2}$ obey finite-size scaling. The high precision data was obtained for an anisotropic three-dimensional Anderson model with disorder given by a box distribution of width $W/2$. We compute the critical exponent as $ν\approx 1.45 \pm 0.12$ and the critical disorder as $W_{\rm c} \approx 8.59 \pm 0.05$ in agreement with previous transfer-matrix studies in the anisotropic model. Furthermore, we find $χ\approx 0.28 \pm 0.06$ at the metal-insulator transition in very close agreement with previous results.

cond-mat.dis-nn↗

arXiv2001

A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields

A strongly correlated electron system associated with the quantum superalgebra ${U}_q[{osp}(2|2)]$ is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of boundary-reflection $K$-matrices leading to four kinds of possible boundary interaction terms are found. Performing the algebraic Bethe ansatz, we diagonalize the two-level transfer matrices which characterize the charge and the spin degrees of freedom, respectively. The Bethe-ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum are presented explicitly. We also construct two impurities coupled to the boundaries. In the thermodynamic limit, the ground state properties and impurity effects are discussed.

cond-mat.str-el↗

arXiv2001

The critical exponent of the localization length at the Anderson transition in 3D disordered systems is larger than 1

In a recent communication to the cond-mat archives, Suslov [cond-mat/0105325] severely criticizes a multitude of numerical results obtained by various groups for the critical exponent $ν$ of the localization length at the disorder-induced metal-insulator transition in the three-dimensional Anderson model of localization as ``entirely absurd'' and ``evident desinformation''. These claims are based on the observation that there still is a large disagreement between analytical, numerical and experimental results for the critical exponent. The author proposes, based on a ``simple procedure to deal with corrections to scaling'', that the numerical data support nu approx 1, whereas recent numerical papers find nu = 1.58 +/- 0.06. As we show here, these claims are entirely wrong. The proposed scheme does neither yield any improved accuracy when compared to the existing finite-size scaling methods, nor does it give nu approx 1 when applied to high-precision data. Rather, high-precision numerics with error epsilon approx 0.1% together with all available finite-size-scaling methods evidently produce a critical exponent nu approx 1.58.

cond-mat.dis-nn↗

arXiv2000

Behavior of the thermopower in amorphous materials at the metal-insulator transition

We study the thermal transport properties in three-dimensional disordered systems close to the metal-insulator transition within linear response. Using a suitable form for the energy-dependent conductivity $σ$, we show that the value of the dynamical scaling exponent for noninteracting disordered systems such as the Anderson model of localization can be reproduced. Furthermore, the values of the thermopower S have the right order of magnitude close to the transition as compared to the experimental results. A sign change in the thermoelectric power S - as is often observed in experiments - can also be modeled within the linear response formulation using modified experimental $σ$ data as input.

cond-mat.dis-nn↗

arXiv2000

An exact-diagonalization study of rare events in disordered conductors

We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear sigma-model. In two dimensions, the tails of the distribution function are consistent with a recent prediction based on a direct optimal fluctuation method.

cond-mat.dis-nn↗

arXiv1995

Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems

We study interacting one dimensional (1D) quantum lattice gases with integrable impurities. These model Hamiltonians can be derived using the quantum inverse scattering method for inhomogeneous models and are by construction integrable. Absence of backscattering at the impurities is shown to be the characteristic feature of these disordered systems. The value of the effective carrier charge and the Sutherland-Shastry relation are derived for the half-filled XXX model and are shown to be independent of the impurity concentration and strength. For the half-filled XXZ model we show that there is no enhancement of the persistent currents for repulsive interactions. For attractive interactions we identify a crossover regime beyond which enhancement of the currents is observed.

cond-mat↗