Multiplier invariants of periodic points are regular functions on moduli spaces of endomorphisms of P^N, are finite-to-one on certain families, and admit explicit isospectral families.
Possibility for exciton Bose-Einstein condensation in carbon nanotubes
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We demonstrate a possibility for exciton Bose-Einstein condensation in individual small-diameter (~1-2 nm) semiconducting carbon nanotubes. The effect occurs under the exciton-interband-plasmon coupling controlled by an external electrostatic field applied perpendicular to the nanotube axis. It requires fields ~1 V/nm and temperatures below 100 K that are experimentally accessible. The effect offers a testing ground for fundamentals of condensed matter physics in one dimension and opens up perspectives to develop tunable coherent polarized light source with carbon nanotubes.
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Multipliers and invariants of endomorphisms of projective space in dimension greater than 1
Multiplier invariants of periodic points are regular functions on moduli spaces of endomorphisms of P^N, are finite-to-one on certain families, and admit explicit isospectral families.