2012/02/19 by Guang-Yao Huang, Shi-Dong Liang, Shi‐Dong Liang +2
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Chern class #Condensed matter physics #Electron #Geometry #Homogeneous space #Lattice (music) #Liquid crystal #Magnetic field #Mathematics #Phase (matter) #Phase diagram #Physics #Quantum #Quantum Hall effect #Quantum many-body systems #Quantum mechanics #Quantum spin Hall effect #Quantum spin liquid #Spin polarization #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #cond-mat.str-el #msc:55M25
paper · pdf · doi:10.1140/epjb/e2013-31040-6
published as Eur. Phys. J. B 86, 379 (2013) · 7 pages, 8 figures, 1 table
arxiv created 2012/02/19 · openalex publication_date 2013/09/01 · arxiv updated 2014/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A group of novel materials can be mapped to the star lattice, which exhibits some novel physical properties. We give the bulk-edge correspondence theory of the star lattice and study the edge states and their topological orders in different spin liquid phases. The bulk and edge-state energy structures and Chern number depend on the spin liquid phases and hopping parameters because the local spontaneous magnetic flux in the spin liquid phase breaks the time reversal and space inversion symmetries. We give the characteristics of bulk and edge energy structures and their corresponding Chern numbers in the uniform, nematic and chiral spin liquids. In particular, we obtain analytically the phase diagram of the topological orders for the chiral spin liquid states SL[ϕ,ϕ,-2ϕ], where ϕis the magnetic flux in two triangles and a dodecagon in the unit cell. Moreover, we find the topological invariance for the spin liquid phases, SL[ϕ1,ϕ2,-(ϕ1+ϕ2)] and SL[ϕ2,ϕ1,-(ϕ1+ϕ2)]. The results reveal the relationship between the energy-band and edge-state structures and their topological orders of the star lattice.