2012/10/31 by Yuan-Ming Lu, Dung-Hai Lee, Dung‐Hai Lee · 1 citation
Mathematics · Physics and Astronomy · #Anyon #Boson #Combinatorics #Lattice (music) #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum, superfluid, helium dynamics #Theoretical physics #Topological Materials and Phenomena #Topological quantum computer #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.89.195143
published as Phys. Rev. B 89, 195143 (2014) · 11 pages, 3 figures, published version
arxiv created 2014/05/30 · openalex publication_date 2014/05/30 · arxiv updated 2014/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Inspired by the Chern-Simons effective theory description of symmetry protected topological (SPT) phases in two dimensions, we present a projective construction for many-body wave functions of SPT phases. Using this projective construction, we can systematically write down trial wave functions of SPT phases on a lattice. An explicit example of SPT phase with U(1) symmetry is constructed for two types of bosons with filling \ensuremathν_b1=\ensuremathν_b2=(1)/(2) per site on a square lattice. We study continuous phase transitions between different U(1)-SPT phases based on projective construction. The effective theory around the critical point is an emergent QED3 with fermion number Nf=2. Such a continuous phase transition, however, needs fine tuning, and in general there are intermediate phases between different U(1)-SPT phases. We show that such an intermediate phase has the same response as an anyon superconductor, and hence dub it ``anyon superfluid.'' A schematic phase diagram of interacting bosons with U(1) symmetry is depicted.