Session S14: Fermions in Optical Lattices
2:30 PM–5:18 PM, Wednesday, March 12, 2008
Morial Convention Center Room: 205
Sponsoring Unit:
DAMOP
Chair: Ana Maria Rey, Harvard University
Abstract ID: BAPS.2008.MAR.S14.12
Abstract: S14.00012 : Stripe Formation and Superfluiditiy Correlation on Two-dimensional Optical Lattice: DMRG Studies for $n$-leg repulsive Hubbard model
4:42 PM–4:54 PM
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Abstract 
Authors:
Masahiko Machida
(CCSE, Japan Atomic Energy Agency)
Masahiko Okumura
(CCSE, Japan Atomic Energy Agency)
Susumu Yamada
(CCSE, Japan Atomic Energy Agency)
In order to predict strongly-correlated behaviors on two-dimensional (2-D) optical lattice, we employ the parallel density matrix renormalization group (p-DMRG) method and examine 2-D repulsive (square-lattice) Hubbard model. In the presentation, we firstly suggest that box shape trap enables to observe intrinsic properties of the Hubbard model in a fixed doping in contrast to the harmonic trap bringing about wide spatial variations of atom density profiles. Next, we show atomic density profile on 4-leg repulsive Hubbard model with the open boundary condition under the box trap. The variation parameters in the simulation are the doping rate below the half-filling and the repulsive interaction $U/t$. As a result, we find that stripe formations are universal in a low hole doping range and the stripe sensitively changes its structure with variations of $U/t$ and the doping rate. A striking feature is that a stripe by a hole pair turns to one by a bi-hole pair when entering a limited strong $U/t$ range. Furthermore, a systematic calculation reveals that the Hubbard model shows a change from the stripe to the Friedel oscillation with increasing the doping rate.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2008.MAR.S14.12