Nanoscale diffusion in amorphous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Fe</mml:mtext></mml:mrow><mml:mrow><mml:mn>75</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mtext>Zr</mml:mtext></mml:mrow><mml:mrow><mml:mn>25</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>films

Gupta, Ajay; Chakravarty, S.; Tyagi, A.K.; Rüffer, R.

doi:10.1103/physrevb.78.214207

Cited by 13 publications

(21 citation statements)

References 53 publications

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“…Such short range interactions cannot be directly included in the Dirac equation, which is valid only in the long wavelength limit. One way to include the average effect of such short range interactions is through the choice of appropriate boundary conditions [43]. A technique to classify all such boundary conditions is provided by the method of self-adjoint extensions due to von Neumann [43,44,46,47].…”

Section: Generalized Boundary Conditionsmentioning

confidence: 99%

“…One way to include the average effect of such short range interactions is through the choice of appropriate boundary conditions [43]. A technique to classify all such boundary conditions is provided by the method of self-adjoint extensions due to von Neumann [43,44,46,47]. This formalism provides all allowed boundary conditions which are consistent with probability current conservation and unitary time evolution.…”

Section: Generalized Boundary Conditionsmentioning

confidence: 99%

“…For certain parameter ranges in the subcritical regime, the gapless graphene system admits generalized boundary conditions [43][44][45]. When a Coulomb charge is embedded in a graphene sheet, it can induce various short range interactions.…”

Section: Introductionmentioning

confidence: 99%

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Coulomb screening in graphene with topological defects

2015

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We analyze the screening of an external Coulomb charge in gapless graphene cone, which is taken as a prototype of a topological defect. In the subcritical regime, the induced charge is calculated using both the Green's function and the Friedel sum rule. The dependence of the polarization charge on the Coulomb strength obtained from the Green's function clearly shows the effect of the conical defect and indicates that the critical charge itself depends on the sample topology. Similar analysis using the Friedel sum rule indicates that the two results agree for low values of the Coulomb charge but differ for the higher strengths, especially in the presence of the conical defect. For a given subcritical charge, the transport cross-section has a higher value in the presence of the conical defect. In the supercritical regime we show that the coefficient of the power law tail of polarization charge density can be expressed as a summation of functions which vary log periodically with the distance from the Coulomb impurity. The period of variation depends on the conical defect. In the presence of the conical defect, the Fano resonances begin to appear in the transport cross-section for a lower value of the Coulomb charge. For both sub and supercritical regime we derive the dependence of LDOS on the conical defect. The effects of generalized boundary condition on the physical observables are also discussed.

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Section: Generalized Boundary Conditionsmentioning

confidence: 99%

Section: Generalized Boundary Conditionsmentioning

confidence: 99%

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Coulomb screening in graphene with topological defects

2015

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“…The N -body Calogero type systems [20][21][22] with inverse-square and harmonic interactions exhibit fractional exclusion statistics [23][24][25][26]. The inverse-square interaction is not merely a mathematical curiosity but actually appears in a wide variety of physical situations, including conformal quantum mechanics [27][28][29], polar molecules [30,31], quantum Hall effect [32], Tomonaga-Luttinger liquid [33], and black holes [34][35][36][37] as well as in graphene with a Coulomb charge [38][39][40][41][42][43][44][45]. Following the solutions originally obtained by Calogero [20][21][22], systems with inverse-square interactions have been analyzed with a variety of different techniques [46][47][48][49][50][51] and the study of OC with such an interaction is of potential interest for a wide class of physical systems.…”

Section: Introductionmentioning

confidence: 99%

Orthogonality catastrophe and fractional exclusion statistics

2018

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We show that the N-particle Sutherland model with inverse-square and harmonic interactions exhibits orthogonality catastrophe. For a fixed value of the harmonic coupling, the overlap of the N-body ground state wave functions with two different values of the inverse-square interaction term goes to zero in the thermodynamic limit. When the two values of the inverse-square coupling differ by an infinitesimal amount, the wave function overlap shows an exponential suppression. This is qualitatively different from the usual power law suppression observed in the Anderson's orthogonality catastrophe. We also obtain an analytic expression for the wave function overlaps for an arbitrary set of couplings, whose properties are analyzed numerically. The quasiparticles constituting the ground state wave functions of the Sutherland model are known to obey fractional exclusion statistics. Our analysis indicates that the orthogonality catastrophe may be valid in systems with more general kinds of statistics than just the fermionic type.

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“…Noteworthy examples include the use of SR to study thin films, interfaces, and surfaces 37,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] in a superconductor 55) and in high-pressure experiments, [56][57][58][59] as well as spin ice 60) and diffusion. [61][62][63][64][65][66][67][68][69] The application of external perturbations that are synchronized to the pulse timing of SR is a unique method. [70][71][72] Studies of slow dynamics have also been performed using SR. [73][74][75] …”

Section: Energy Domain Measurementmentioning

confidence: 99%

Condensed Matter Physics Using Nuclear Resonant Scattering

Seto

2013

J. Phys. Soc. Jpn.

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Mössbauer spectroscopy is a powerful and well-established method used in a wide variety of scientific applications. An outstanding feature of this method is that element specific information on electronic and phonon states can be obtained. The use of high-brilliance synchrotron radiation as an excitation source for Mössbauer measurements enables measurements to be recorded under extreme conditions such as high pressures, very high or very low temperatures, and strong external magnetic fields. In addition, the tunability of synchrotron radiation energy allows a wide range of nuclides to be used. Moreover, the use of synchrotron radiation enables the measurement of the element-and sitespecific phonon density of states. Another unique property of the method is the narrow energy width of the nuclear excited states, due to which the method is an effective tool for studying the slow dynamics of soft matter and glass transitions. The concepts and methods involved in these measurements are introduced and discussed, and the unique features of the methods are highlighted.

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Nanoscale diffusion in amorphousFe75Zr25films

Cited by 13 publications

References 53 publications

Coulomb screening in graphene with topological defects

Coulomb screening in graphene with topological defects

Orthogonality catastrophe and fractional exclusion statistics

Condensed Matter Physics Using Nuclear Resonant Scattering

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