To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

The Dynamical Mean Field … - University of Gothenburg, Sweden Till startsida
Sitemap
To content Read more about how we use cookies on gu.se

The Dynamical Mean Field Theory phase space extension and critical properties of the finite temperature Mott transition

Journal article
Authors Hugo Strand
Andro Sabashvili
Mats Granath
Bo Hellsing
Stellan Östlund
Published in Phys. Rev. B
Volume 83
Pages 205136
ISSN 1098-0121
Publication year 2011
Published at Department of Physics (GU)
Pages 205136
Language en
Links prb.aps.org/abstract/PRB/v83/i20/e2...
Keywords strong correlation, phase transition, Mott transition, metal-insulator transition
Subject categories Physical Sciences

Abstract

We consider the finite temperature metal-insulator transition in the half filled paramagnetic Hubbard model on the infinite dimensional Bethe lattice. A new method for calculating the Dynamical Mean Field Theory fixpoint surface in the phase diagram is presented and shown to be free from the convergence problems of standard forward recursion. The fixpoint equation is then analyzed using dynamical systems methods. On the fixpoint surface the eigenspectra of its Jacobian is used to characterize the hysteresis boundaries of the first order transition line and its second order critical end point. The critical point is shown to be a cusp catastrophe in the parameter space, opening a pitchfork bifurcation along the first order transition line, while the hysteresis boundaries are shown to be saddle-node bifurcations of two merging fixpoints. Using Landau theory the properties of the critical end point is determined and related to the critical eigenmode of the Jacobian. Our findings provide new insights into basic properties of this intensively studied transition.

Page Manager: Webmaster|Last update: 9/11/2012
Share:

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?