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TT: Fachverband Tiefe Temperaturen

TT 73: Low-Dimensional Systems: Topological Order

TT 73.4: Talk

Thursday, March 10, 2016, 15:45–16:00, H19

Density matrix renormalization group on a cylinder in mixed real and momentum space — •Johannes Motruk¹, Michael P. Zaletel², Roger S. K. Mong³, and Frank Pollmann¹ — ¹Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany — ²Station Q, Microsoft Research, Santa Barbara, CA 93106, USA — ³Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA

We present a variant of the density matrix renormalization group (DMRG) algorithm for two-dimensional cylinders that uses a real space representation along the cylinder and a momentum space representation in the perpendicular direction. This mixed approach allows us to use the momentum around the circumference as a conserved quantity in the DMRG algorithm which greatly reduces computational costs compared to the traditional purely real space approach. Applying the method to the interacting fermionic Hofstadter model at integer and fractional fillings, we demonstrate a considerable speedup in computation time and a substantial reduction of memory usage.