Título:

Topology, Geometry and Molecular Dynamics: the Hamiltonian Mean-Field Model in a Magnetic Field and Phase Transitions in Spin Systems

 

Coloquialista:

Mauricio D. Coutinho Filho

Departamento de Física-UFPE

 

Resumo:

The Hamiltonian mean-field model is investigated in the presence of a field. The geometric approach to Hamiltonian dynamics allows us to calculate the field effect on the energy-dependent microcanonical mean Ricci curvature and its fluctuations. We also show that stable and metastable solutions of the Lyapunov exponent exhibit intriguing field-induced results. In addition, finite-size molecular dynamics simulations can provide complementary information: R. Araújo, L. H. Miranda Filho, F. A. N. Santos, and M. D. Coutinho-Filho, PRE 103, 012203 (2021).

On the other hand, topological phases of matter have attracted much attention over the years, in particular the work put forward by Haldane, Kosterlitz, and Thouless: R. R. Montenegro-Filho, F. S. Matias, and M. D. Coutinho-Filho, PRB 102, 035137 (2020). We have also examined the edge states of a one-dimensional trimer lattice. A nontrivial connection exists between the topological phase transition point in the trimer lattice and the one in its associated two-dimensional parent system, in agreement with results in the context of Thouless pumping in photonic lattices: V. M. Martinez Alvarez and M. D. Coutinho-Filho, PRA 99, 013833 (2019).

 

Data, horário e local:

06 de agosto de 2021, (sexta-feira) 16h

Ambiente Virtual: Google Meet

 

Segue endereço do Webinar:

https://meet.google.com/qih-zhhz-grx

 

Orientações:

1. Entrar com o microfone desligado.

2. Entrar com o email institucional (@ufpe.br)

 

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