理学部 物理科学科談話会のお知らせ（2012.07.18）
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| 日時 | 2012年7月18日 16:30〜 |
|---|---|
| 場所 | 京都産業大学理学部会議室（2号館3階） |
| 講演者 | Frank Pollmann氏（Max Planck Institute, Dresden） |
| 題目 | Detection of Symmetry Protected Topological Phases in 1D |
| 対象 | 教職員・大学院生 |
講演概要
A topological phase is a phase of matter which cannot be characterized by a local order parameter. It has been shown that gapped phases in 1D systems can be completely characterized using tools related to projective representations of the symmetry groups. An example of a symmetry protected topological phase is the Haldane phase of S = 1 chains. Here the phase is protected by any of the following symmetries: dihedral group of pi-rotations about two orthogonal axes, time-reversal symmetry, or bond centered inversion symmetry. We introduce non-local order parameters for each case. These non-local order parameters provide a practical tool for numerically detecting these non-trivial phases using, e.g., Density- Matrix Renormalization Group or Monte Carlo methods.
