You are here

Quantum antiferromagnetic Heisenberg half-odd-integer spin model as the entanglement Hamiltonian of the integer-spin Affleck-Kennedy-Lieb-Tasaki states

Title: Quantum antiferromagnetic Heisenberg half-odd-integer spin model as the entanglement Hamiltonian of the integer-spin Affleck-Kennedy-Lieb-Tasaki states.
18 views
5 downloads
Name(s): Rao, Wen-Jia, author
Zhang, Guang-Ming, author
Yang, Kun, author
Type of Resource: text
Genre: Text
Date Issued: 2016-03-15
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: Applying a symmetric bulk bipartition to the one-dimensional Affleck-Kennedy-Lieb-Tasaki valence-bond solid (VBS) states for the integer spin-S Haldane gapped phase, we can create an array of fractionalized spin-S/2 edge states with the super unit cell l in the reduced bulk system, and the topological properties encoded in the VBS wave functions can be revealed. The entanglement Hamiltonian (EH) with even l corresponds to the quantum antiferromagnetic Heisenberg spin-S/2 model. For the even integer spins, the EH still describes the Haldane gapped phase. For the odd integer spins, however, the EH just corresponds to the quantum antiferromagnetic Heisenberg half-odd integer-spin model with spinon excitations, characterizing the critical point separating the topological Haldane phase from the trivial gapped phase. Our results thus demonstrate that the topological bulk property not only determines its fractionalized edge states but also the quantum criticality associated with the topological phase, where the elementary excitations are precisely those fractionalized edge degrees of freedom confined in the bulk of the topological phase.
Identifier: FSU_libsubv1_wos_000372409100002 (IID), 10.1103/PhysRevB.93.115125 (DOI)
Keywords: bond ground-states, insulators, protected topological states
Publication Note: The publisher’s version of record is available at http://www.dx.doi.org/10.1103/PhysRevB.93.115125
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_libsubv1_wos_000372409100002
Owner Institution: FSU
Is Part Of: Physical Review B.
2469-9950
Issue: iss. 11, vol. 93

Choose the citation style.
Rao, W. -J., Zhang, G. -M., & Yang, K. (2016). Quantum antiferromagnetic Heisenberg half-odd-integer spin model as the entanglement Hamiltonian of the integer-spin Affleck-Kennedy-Lieb-Tasaki states. Physical Review B. Retrieved from http://purl.flvc.org/fsu/fd/FSU_libsubv1_wos_000372409100002