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Journal Article

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

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

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

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https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.155139
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Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-D985-E
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.