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Decoupling Graphene from SiC(0001) via Oxidation

Autor: Oida, S., McFeely, F. R., Hannon, J. B., Tromp, R. M., Copel, M., Chen, Z., Sun, Y., Farmer, D. B., Yurkas, J.

When epitaxial graphene layers are formed on SiC(0001), the first carbon layer (known as the "buffer layer"), while relatively easy to synthesize, does not have the desirable electrical properties of graphene. The conductivity is poor due to a disrup

Externí odkaz: http://arxiv.org/abs/1003.5702

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Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N)

Autor: Conrey, J. B., Farmer, D. W., Zirnbauer, M. R.

For the classical compact Lie groups K = U(N) the autocorrelation functions of ratios of random characteristic polynomials are studied. Basic to our treatment is a property shared by the spinor representation of the spin group with the Shale-Weil rep

Externí odkaz: http://arxiv.org/abs/math-ph/0511024

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Autocorrelation of Random Matrix Polynomials

Autor: Conrey, J. B., Farmer, D. W., Keating, J. P., Rubinstein, M. O., Snaith, N. C.

Publikováno v: Commun. Math. Phys 237 (2003) 3, 365-395

We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in three equi

Externí odkaz: http://arxiv.org/abs/math-ph/0208007

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Integral moments of L-functions

Autor: Conrey, J. B., Farmer, D. W., Keating, J. P., Rubinstein, M. O., Snaith, N. C.

We give a new heuristic for all of the main terms in the integral moments of various families of primitive L-functions. The results agree with previous conjectures for the leading order terms. Our conjectures also have an almost identical form to exa

Externí odkaz: http://arxiv.org/abs/math/0206018

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