Work

Sequential quantum phase transitions in J1−J2 Heisenberg chains with integer spins (S>1) : Quantized Berry phase and valence-bond solids

Year: 2019

Type: article

Abstract: On the basis of a Berry-phase analysis, we study the ground state of the ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ Heisenberg chain for $S=2,3,4$. We find that changes in the Berry phase occur $S$ times for spin-$S$ systems, indicating sequential phase transitions. The sequential phase transitions are associated with the change in valence-bond configurations of the ground states. To demonstrate this numerically, we connect the ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ Heisenberg Hamiltonian with the generalized Affleck-Kennedy-Lieb-Tasaki model and show that the different phases are connected to the different valence-bond solid states.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.100.014438

Authors: Shota Fubasami, Tomonari Mizoguchi, Yasuhiro Hatsugai

Institution: University of Tsukuba

Language: Latvian

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: University of Tokyo, Japan Society for the Promotion of Science

Awards: Use of quaternions for topological phases: many body problem and time reversal symmetry breaking, Variety and universality of bulk-edge correspondence in topological phases: From solid state physics to transdisciplinary concepts