2,662 research outputs found
Kondo Metal and Ferrimagnetic Insulator on the Triangular Kagom\'e Lattice
We obtain the rich phase diagrams in the Hubbard model on the triangular
Kagom\'e lattice as a function of interaction, temperature and asymmetry, by
combining the cellular dynamical mean-field theory with the continuous time
quantum Monte Carlo method. The phase diagrams show the asymmetry separates the
critical points in Mott transition of two sublattices on the triangular
Kagom\'e lattice and produces two novel phases called plaquette insulator with
an obvious gap and a gapless Kondo metal. When the Coulomb interaction is
stronger than the critical value Uc, a short range paramagnetic insulating
phase, which is a candidate for the short rang resonating valence-bond spin
liquid, emerges before the ferrimagnetic order is formed independent of
asymmetry. Furthermore, we discuss how to measure these phases in future
experiments
Strict ergodicity of affine p-adic dynamical systems on Zp
AbstractLet p⩾2 be a prime number and let Zp be the ring of all p-adic integers. For all α,β,z∈Zp, define Tα,β(z)=αz+β. It is shown that the dynamical system (Zp,Tα,β) is minimal if and only if α∈1+prpZp and β is a unit, here rp=1 (respectively rp=2) if p⩾3 (respectively if p=2), and that when it is minimal, it is strictly ergodic and topologically conjugate to (Zp,T1,1) with an analytic and isometric conjugacy. More importantly, when the system is not minimal, we find all its strictly ergodic components. As application, monomial systems Sn,ρ(z)=ρzn on the group 1+pZp are also discussed
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