Density matrix renormalization group on a cylinder in mixed real and momentum space

Johannes Motruk, Michael P. Zaletel, Roger S.K. Mong, Frank Pollmann

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-dimensional cylinders that uses a real space representation in the direction along the axis of the cylinder and a momentum space representation in the direction around the circumference. The mixed representation allows us to use the momentum around the cylinder as a conserved quantity in the DMRG algorithm. Compared with the traditional purely real-space approach, we find a significant speedup in computation time and a considerable reduction in memory usage. Applying the method to the interacting fermionic Hofstadter model, we demonstrate a reduction in computation time by over 20-fold, in addition to a sixfold memory reduction.

Original languageEnglish (US)
Article number155139
JournalPhysical Review B
Volume93
Issue number15
DOIs
StatePublished - Apr 21 2016

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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