Quantum scattering in two dimensions

Adhikari, Sadhan K.

doi:10.1119/1.14623

Cited by 246 publications

(206 citation statements)

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“…The Virial expansion developed in this paper is complementary. As the quasi-two dimensional gas of trapped atoms is also experimentally feasible, the result reported in this paper may be brought to a direct comparison with the measurements As is well-known, a perturbative treatment of a dilute Bose gas in two dimensions suffer from two difficulties: 1) The scattering amplitude vanishes in the zero energy limit and the Born expansion breaks down for a large number of potentials [10] [11].…”

Section: Introductionmentioning

confidence: 95%

The Virial Expansion of a Dilute Bose Gas in Two Dimensions

Ren

2004

Journal of Statistical Physics

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In terms of the s-wave phase shift of the two-body scattering at thermal wavelength, a systematic perturbative expansion of the Virial coefficients is developed for two-dimensional dilute system of bosons in its gaseous phase at low temperature. The thermodynamic functions are calculated to the second order of the expansion parameter. The observability of the universal low energy limit of the two dimensional phase shift with a quasi-two dimensional atomic gas in an anisotropic trap is discussed. †

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Section: Introductionmentioning

confidence: 95%

The Virial Expansion of a Dilute Bose Gas in Two Dimensions

Ren

2004

Journal of Statistical Physics

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“…N 2 O 4 ) have resonant, quasilocalized levels near zero energy. It is interesting to note that equation (2.6) is also valid for the case of conventional (non-relativistic) two-dimensional systems (Adhikari 1986). However, in the latter case, resonant scattering is not incidental, like for Dirac fermions, but the essential feature that limits electron mobility because even a weak random potential in conventional two-dimensional systems leads to resonances near the band edge (Landau & Lifshitz 1977).…”

Section: ð2:5þmentioning

confidence: 99%

Electron scattering on microscopic corrugations in graphene

Katsnelson

Geǐm

2007

Phil. Trans. R. Soc. A.

531

507

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We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (e.g. due to neutral impurities) is mostly irrelevant for electronic quality of graphene, which is likely to be controlled by charged impurities and ripples (microscopic corrugations of a graphene sheet). The latter are an inherent feature of graphene due to its two-dimensional nature and can also be an important factor in defining the electron mean-free path. We show that certain types of ripples create a long-range scattering potential, similar to Coulomb scatterers, and result in charge-carrier mobility practically independent of carrier concentration, in agreement with experimental observations.

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“…We will give below a detailed description that generalizes the method in Ref. [33] to the case of Dirac fermions. Using this method we will be able to compute the differential scattering cross-section that will be used in the next section to compute the electronic transport.…”

Section: Scattering Through a Nanobuble With Magnetic Field And mentioning

confidence: 99%

Analytic approach to magneto-strain tuning of electronic transport through a graphene nanobubble: perspectives for a strain sensor

Muñoz

Soto-Garrido

2017

J. Phys.: Condens. Matter

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We consider the scattering of Dirac particles in graphene due to the superposition of an external magnetic field and mechanical strain. As a model for a graphene nanobubble, we find exact analytical solutions for single-particle states inside and outside a circular region submitted to the fields. Finally, we obtain analytical expressions for the scattering cross-section, as well as for the Landauer current through the circular region. Our results provide a fully-analytical treatment for electronic transport through a graphene nanobubble, showing that a combination of a physical magnetic field and strain leads to valley polarization and filtering of the electronic current. Moreover, our analytical model provides an explicit metrology principle to measure strain by performing conductance experiments under a controlled magnetic field imposed over the sample.

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Quantum scattering in two dimensions

Cited by 246 publications

References 0 publications

The Virial Expansion of a Dilute Bose Gas in Two Dimensions

The Virial Expansion of a Dilute Bose Gas in Two Dimensions

Electron scattering on microscopic corrugations in graphene

Analytic approach to magneto-strain tuning of electronic transport through a graphene nanobubble: perspectives for a strain sensor

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