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Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy
traveling wave conductivity type the Novikov-Veselov equations zero energy
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2011/7/27
Abstract: We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.
Edge stability, reconstruction, zero-energy states and magnetism in triangular graphene quantum dots with zigzag edges
Edge stability magnetism zigzag edges
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2010/11/17
We present the results of ab-initio density functional theory based calculations of the stability and reconstruction of zigzag edges in triangular graphene quantum dots. We show that, while the recons...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
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2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Edge stability, reconstruction, zero-energy states and magnetism in triangular graphene quantum dots with zigzag edges
Edge stability zero-energy states magnetism
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2010/11/17
We present the results of ab-initio density functional theory based calculations of the stability and reconstruction of zigzag edges in triangular graphene quantum dots. We show that, while the recons...