Valence bond order in a honeycomb antiferromagnet coupled to quantum phonons

Weber, Manuel

doi:10.1103/physrevb.103.l041105

Valence bond order in a honeycomb antiferromagnet coupled to quantum phonons

Journal Article · Mon Jan 11 04:00:00 EST 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.l041105· OSTI ID:1783726

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Georgetown Univ., Washington, DC (United States); Georgetown University

We use exact quantum Monte Carlo simulations to demonstrate that the Néel ground state of an antiferromagnetic SU(2) spin-1/2 Heisenberg model on the honeycomb lattice can be destroyed by a coupling to quantum phonons. Here, we find a clear first-order transition to a valence bond solid state with Kekulé order instead of a deconfined quantum critical point. However, quantum lattice fluctuations can drive the transition towards weakly first order, revealing a tunability of the transition by the retardation of the interaction. In contrast to the one-dimensional case, our phase diagram in the adiabatic regime is qualitatively different from the frustrated J₁–J₂ model. Our results suggest that a coupling to bond phonons can induce Kekulé order in Dirac systems.

View Accepted Manuscript (DOE)

Research Organization:: Georgetown Univ., Washington, DC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-08ER46542

OSTI ID:: 1783726

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 103; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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