Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality

D. J J Farnell; R. F. Bishop; P. H Y Li; J. Richter; C. E. Campbell

doi:10.1103/PhysRevB.84.012403

Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality

D. J J Farnell, R. F. Bishop, P. H Y Li, J. Richter, C. E. Campbell

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Abstract

We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J₁–J₂–J₃antiferromagnet with J₂ = J₃ = κ J₁ on the honeycomb lattice using coupled-cluster theory and exact diagonalization methods. We present
results for the gs energy, magnetic order parameter, spin-spin correlation function, and plaquette valence-bond crystal (PVBC) susceptibility. We find a N´eel antiferromagnetic (AFM) phase for κ < κ_c1 ≈ 0.47, a collinear striped AFM phase for κ > κ_c2 ≈ 0.60, and a paramagnetic PVBC phase for κ_c1 ≤ κ ≤ κ_c2 . The transition at κ_c2 appears to be of first-order type, while that at κ_c1 is continuous. Since the N´eel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at κ_c1 .

Original language	English
Article number	012403 (4pp)
Journal	Physical Review B (Condensed Matter and Materials Physics)
Volume	84
DOIs	https://doi.org/10.1103/PhysRevB.84.012403
Publication status	Published - 2011

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title = "Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality",

abstract = "We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J1–J2–J3 antiferromagnet with J2 = J3 = κ J1 on the honeycomb lattice using coupled-cluster theory and exact diagonalization methods. We presentresults for the gs energy, magnetic order parameter, spin-spin correlation function, and plaquette valence-bond crystal (PVBC) susceptibility. We find a N´eel antiferromagnetic (AFM) phase for κ < κc1 ≈ 0.47, a collinear striped AFM phase for κ > κc2 ≈ 0.60, and a paramagnetic PVBC phase for κc1 ≤ κ ≤ κc2 . The transition at κc2 appears to be of first-order type, while that at κc1 is continuous. Since the N´eel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at κc1 .",

author = "Farnell, {D. J J} and Bishop, {R. F.} and Li, {P. H Y} and J. Richter and Campbell, {C. E.}",

year = "2011",

doi = "10.1103/PhysRevB.84.012403",

language = "English",

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journal = "Physical Review B (Condensed Matter and Materials Physics)",

issn = "1098-0121",

publisher = "American Physical Society",

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T1 - Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality

AU - Farnell, D. J J

AU - Bishop, R. F.

AU - Li, P. H Y

AU - Richter, J.

AU - Campbell, C. E.

PY - 2011

Y1 - 2011

N2 - We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J1–J2–J3 antiferromagnet with J2 = J3 = κ J1 on the honeycomb lattice using coupled-cluster theory and exact diagonalization methods. We presentresults for the gs energy, magnetic order parameter, spin-spin correlation function, and plaquette valence-bond crystal (PVBC) susceptibility. We find a N´eel antiferromagnetic (AFM) phase for κ < κc1 ≈ 0.47, a collinear striped AFM phase for κ > κc2 ≈ 0.60, and a paramagnetic PVBC phase for κc1 ≤ κ ≤ κc2 . The transition at κc2 appears to be of first-order type, while that at κc1 is continuous. Since the N´eel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at κc1 .

AB - We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J1–J2–J3 antiferromagnet with J2 = J3 = κ J1 on the honeycomb lattice using coupled-cluster theory and exact diagonalization methods. We presentresults for the gs energy, magnetic order parameter, spin-spin correlation function, and plaquette valence-bond crystal (PVBC) susceptibility. We find a N´eel antiferromagnetic (AFM) phase for κ < κc1 ≈ 0.47, a collinear striped AFM phase for κ > κc2 ≈ 0.60, and a paramagnetic PVBC phase for κc1 ≤ κ ≤ κc2 . The transition at κc2 appears to be of first-order type, while that at κc1 is continuous. Since the N´eel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at κc1 .

U2 - 10.1103/PhysRevB.84.012403

DO - 10.1103/PhysRevB.84.012403

M3 - Article

SN - 1098-0121

VL - 84

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

M1 - 012403 (4pp)

ER -

Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality

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