2016/08/30 by Katsuhiro Morita, Naokazu Shibata
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Condensed matter physics #Density matrix renormalization group #Frustration #Ground state #Lattice (music) #Magnetic field #Magnetization #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.94.140404
published as Phys. Rev. B 94, 140404 (2016)
arxiv created 2016/08/30 · openalex created_date 2016/09/16 · openalex publication_date 2016/10/10 · arxiv updated 2016/10/19 · openalex updated_date 2026/08/05
We study the ground state of the S=(1)/(2) Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group method with the sine-square deformation. We obtain magnetization plateaus at M/Msat=0,(1)/(4),(3)/(8),(1)/(2), and (3)/(4), where Msat is the saturated magnetization. The obtained (3)/(4) plateau state is consistent with the exact result, and the (1)/(2) plateau is found to have a four-spin resonating loop structure similar to the six-spin loop structure of the (1)/(3) plateau of the kagome lattice. Different four-spin loop structures are obtained in the (1)/(4) and (3)/(8) plateaus but no corresponding states exist in the kagome lattice. The (3)/(8) plateau has a unique magnetic structure of three types of four-spin local quantum states in a 4√(2)\ifmmode×\else\texttimes\fi2√(2) magnetic unit cell with a 16-fold degeneracy.