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Featureless quantum insulator on the honeycomb lattice

Cornell Affiliated Author(s)

Author

Panjin Kim
Hyunyong Lee
Shenghan Jiang
Brayden Ware
Chao-Ming Jian
Michael Zaletel
Jung Han
Ying Ran

Abstract

We show how to construct fully symmetric states without topological order on a honeycomb lattice for S=12 spins using the language of projected entangled pair states. An explicit example is given for the virtual bond dimension D=4. Four distinct classes differing by lattice quantum numbers are found by applying the systematic classification scheme introduced by two of the authors [S. Jiang and Y. Ran, Phys. Rev. B 92, 104414 (2015)PRBMDO1098-012110.1103/PhysRevB.92.104414]. Lack of topological degeneracy or other conventional forms of symmetry breaking in the proposed wave functions are checked by numerical calculations of the entanglement entropy and various correlation functions. Exponential decay of all correlation functions measured are strongly indicative of the energy gap for the putative parent Hamiltonian of the state. Our work provides the first explicit realization of a featureless quantum state for spin-12 particles on a honeycomb lattice. © 2016 American Physical Society.

Date Published

Journal

Physical Review B

Volume

94

Issue

6

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84985911035&doi=10.1103%2fPhysRevB.94.064432&partnerID=40&md5=ffa0e60ac0b877e7d49c5eb63d9ca147

DOI

10.1103/PhysRevB.94.064432

Group (Lab)

Chao-Ming Jian Group

Funding Source

DMR-1151440
NSF PHY11-25915
2015R1D1A1A01059296

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