Boundary effects in the density-matrix renormalization group calculation

Naokazu Shibata, Chisa Hotta

研究成果: Article査読

32 被引用数 (Scopus)


We investigate the boundary effect of the density matrix renormalization group calculation (DMRG), which is an artifactual induction of symmetry-breaking pseudo-long-range order and takes place when the long-range quantum fluctuation cannot be properly included in the variational wave function due to numerical limitation. The open boundary condition often used in DMRG suffers from the boundary effect the most severely, which is directly reflected in the distinct spatial modulations of the local physical quantity. By contrast, the other boundary conditions such as the periodic one or the sin2-deformed interaction keep spatial homogeneity, and are relatively free from the boundary effect. By comparing the numerical results of those various boundary conditions, we show that the open boundary condition sometimes gives unreliable results even after the finite-size scaling. We conclude that the examination of the boundary condition dependence is required besides the usual treatment based on the system size or accuracy dependence in cases where the long-range quantum fluctuation is important.

ジャーナルPhysical Review B - Condensed Matter and Materials Physics
出版ステータスPublished - 2011 9月 16

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学


「Boundary effects in the density-matrix renormalization group calculation」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。