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Rodriguez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Rodriguez-Laguna, J. ; Sierra, G. ; Malyshev, Andrey ; Domínguez-Adame Acosta, Francisco ; Lemaistre, I. J. | Elsevier Science BV | 2001-12The standard one-parameter scaling theory predicts that all eigenstates in two-dimensional random lattices are weakly localized. We show that this claim fails in two-dimensional dipolar Frenkel exciton systems. The linear energy dispersion at th[...]texto impreso
Rodriguez, A. ; Malyshev, Andrey ; Sierra, G. ; Martín-Delgado Alcántara, Miguel Ángel ; Rodriguez-Laguna, J. ; Domínguez-Adame Acosta, Francisco | American Physical Society | 2003-01-17The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically, using a supersymmetric method combined with a renormalization group[...]texto impreso
The Riemann hypothesis, which states that the nontrivial zeros of the Riemann zeta function all lie on a certain line in the complex plane, is one of the most important unresolved problems in mathematics. We propose here an approach to finding a[...]texto impreso
He, Ran ; Ai, Ming-Zhong ; Cui, Jin-Ming ; Huang, Yun-Feng ; Han, Yong-Jian ; Li, Chuan-Feng ; Tu, Tao ; Creffield, Charles E. ; Sierra, G. ; Guo, Guang-Can | Amercican Physical Society | 2020-04-20The Riemann hypothesis, one of the most important open problems in pure mathematics, implies the most profound secret of prime numbers. One of the most interesting approaches to solving this hypothesis is to connect the problem with the spectrum[...]
