2014/10/31 by Fabian Kolley, Stefan Depenbrock, Ian P. McCulloch +2 · 81 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Algorithm #Antiferromagnetism #Computer science #Condensed matter physics #Density matrix renormalization group #Ground state #Heisenberg model #Mathematical physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevb.91.104418
published in Physical Review B 91(10) (American Physical Society) · 9 pages, 10 figures. Figure added, minor modifications, as published
openalex publication_date 2015/03/19 · arxiv created 2015/03/24 · arxiv updated 2015/03/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We perform an extensive density-matrix renormalization-group study of the ground-state phase diagram of the spin-1/2\phantom\rule0.16em0exJ1\text\ensuremath-J2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome Heisenberg antiferromagnet, i.e., at J2=0. We investigate the static spin structure factor, the magnetic correlation lengths, and the spin gaps. Our results are consistent with the absence of magnetic order in a narrow region around J2\ensuremath≈0, although strong finite-size effects do not allow us to accurately determine the phase boundaries. This result is in agreement with the presence of an extended spin-liquid region, as it has been proposed recently. Outside the disordered region, we find that for ferromagnetic and antiferromagnetic J2, the ground state displays signatures of the magnetic order of the √(3)\ifmmode×\else\texttimes\fi√(3) and the q=0 type, respectively. Finally, we focus on the structure of the entanglement spectrum (ES) in the q=0 ordered phase. We discuss the importance of the choice of the bipartition on the finite-size structure of the ES.