2006/03/09 by Yasuhiro Hatsugai · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Dimer #Excited state #Geometric phase #Ground state #Invariant (physics) #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Singlet state #Theoretical physics #Unitary state #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1143/jpsj.75.123601
published as J. Phys. Soc. Jpn. 75 (2006) 123601 · 4 pages, 5 eps figures
arxiv created 2006/03/09 · openalex publication_date 2006/11/27 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose to use quantized Berry phases as local order parameters of gapped quantum liquids, which are invariant under some anti-unitary operation. After presenting a general prescription, the scheme is applied for Heisenberg models with frustrations and two dimensional extended Su-Schrieffer-Heeger models associated with a random dimer covering. In each phases, the quantized Berry phases, as 0 or π, describe the ground state texture pattern of local singlet bonds and dimer bonds. Also possible applications to large classes of correlated electron systems are discussed.