2008/03/31 by Tribikram Gupta, Sanjay Gupta
Materials Science · Physics and Astronomy · #Antiferromagnetism #Dimension (graph theory) #Fibonacci number #Hubbard model #Inverse #Order and disorder #Organic and Molecular Conductors Research #Phase (matter) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Spin (aerodynamics) #Zero (linguistics) #cond-mat.str-el
paper · pdf · doi:10.1209/0295-5075/88/17006
published as EPL, 88(2009), 17006 · 6 Pages, 16 figures
openalex publication_date 2009/10/01 · arxiv created 2010/03/25 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the dimensional dependence of the interplay between correlation and disorder in two dimensions at half-filling using the 2D t- t ' disordered Hubbard model with deterministic disorder both at zero and finite temperatures. Inclusion of t ' without disorder leads to a metallic phase at half-filling below a certain critical value of U . Above this critical value U c correlation favours an antiferromagnetic phase. Since disorder leads to double occupancy over the lower-energy site, the competition between Hubbard U and disorder leads to the emergence of a metallic phase, which can be quantified by the calculation of Kubo conductivity, gap at half-filling, density of states, spin order parameter, inverse participation ratio (IPR) and bandwidth. We have studied the effect of disorder on the system in a very novel way through a deterministic disorder which follows a Fibonacci sequence. The behaviour of different quantities shows interesting features on going from a two- to quasi–one-dimensional system.