Deutsch
 
Benutzerhandbuch Datenschutzhinweis Impressum Kontakt
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

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

MPG-Autoren
/persons/resource/persons184781

Motruk,  Johannes
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons145881

Pollmann,  Frank
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

Volltexte (frei zugänglich)
Es sind keine frei zugänglichen Volltexte verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Motruk, J., Zaletel, M. P., Mong, R. S. K., & Pollmann, F. (2016). Density matrix renormalization group on a cylinder in mixed real and momentum space. Physical Review B, 93(15): 155139. doi:10.1103/PhysRevB.93.155139.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-002A-D985-E
Zusammenfassung
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.