80 citations · 305 across the 9 of their papers we have counts for
9 papers
Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
I. Maruyama, T. Hirano, Y. Hatsugai
A spin-1/2 frustrated two-leg ladder with four-spin exchange interaction is studied by quantized Berry phases. We found that the Berry phase successfully characterizes the Haldane…
Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
I. Maruyama, T. Hirano, Y. Hatsugai
A spin-1/2 two-leg ladder with four-spin ring exchange is studied by quantized Berry phases, used as local order parameters. Reflecting local objects, non-trivial () Berry phase…
Block Spin Density Matrix of the Inhomogeneous AKLT Model
Ying Xu, Hosho Katsura, Takaaki Hirano +1
We study the inhomogeneous generalization of a 1-dimensional AKLT spin chain model. Spins at each lattice site could be different. Under certain conditions, the ground state of thi…
Degeneracy and Consistency Condition of Berry phases: Gap Closing under the Twist
Takaaki Hirano, Hosho Katsura, Yasuhiro Hatsugai
We have discussed a consistency condition of Berry phases defined by a local gauge twist and spatial symmetries of the many body system. It imposes a non trivial gap closing condit…
Entanglement and Density Matrix of a Block of Spins in AKLT Model
Ying Xu, Hosho Katsura, Takaaki Hirano +1
We study a 1-dimensional AKLT spin chain, consisting of spins in the bulk and at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-So…
Entanglement in an SU(n) Valence-Bond-Solid State
Hosho Katsura, Takaaki Hirano, Vladimir E. Korepin
We investigate entanglement properties in the ground state of the open/periodic SU() generalized valence-bond-solid state consisting of representations of SU(). We obtain exa…