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

Damian Farnell; R.F. Bishop; P.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

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

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J1–J2–J3 antiferromagnet with J2=J3=?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 Néel antiferromagnetic (AFM) phase for ??c2˜0.60, and a paramagnetic PVBC phase for ?c1????c2. The transition at ?c2 appears to be of first-order type, while that at ?c1 is continuous. Since the Néel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at ?c1.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	012403-1 to 0 - 1 to 012403-4
Cyfnodolyn	Physical Review B
Cyfrol	84
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1103/PhysRevB.84.012403
Statws	Cyhoeddwyd - 8 Gorff 2011

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10.1103/PhysRevB.84.012403

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@article{41e33b69c17d4d2d9c5a33bef3fba08a,

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=?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{\'e}el antiferromagnetic (AFM) phase for ??c2˜0.60, and a paramagnetic PVBC phase for ?c1????c2. The transition at ?c2 appears to be of first-order type, while that at ?c1 is continuous. Since the N{\'e}el and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at ?c1.",

keywords = "frustrated quantum magnetism, quantum many-body theory, strongly correlated electrons",

author = "Damian Farnell and R.F. Bishop and P.Y. Li and J Richter and C.E. Campbell",

year = "2011",

month = jul,

day = "8",

doi = "10.1103/PhysRevB.84.012403",

language = "English",

volume = "84",

pages = "012403--1 to 0 -- 1 to 012403--4",

journal = "Physical Review B",

issn = "2469-9969",

publisher = "American Physical Society",

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TY - JOUR

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

AU - Farnell, Damian

AU - Bishop, R.F.

AU - Li, P.Y.

AU - Richter, J

AU - Campbell, C.E.

PY - 2011/7/8

Y1 - 2011/7/8

N2 - We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J1–J2–J3 antiferromagnet with J2=J3=?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 Néel antiferromagnetic (AFM) phase for ??c2˜0.60, and a paramagnetic PVBC phase for ?c1????c2. The transition at ?c2 appears to be of first-order type, while that at ?c1 is continuous. Since the Néel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at ?c1.

AB - We study the ground-state (gs) phase diagram of the frustrated spin-1/2 J1–J2–J3 antiferromagnet with J2=J3=?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 Néel antiferromagnetic (AFM) phase for ??c2˜0.60, and a paramagnetic PVBC phase for ?c1????c2. The transition at ?c2 appears to be of first-order type, while that at ?c1 is continuous. Since the Néel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at ?c1.

KW - frustrated quantum magnetism

KW - quantum many-body theory

KW - strongly correlated electrons

U2 - 10.1103/PhysRevB.84.012403

DO - 10.1103/PhysRevB.84.012403

M3 - Article

SN - 2469-9969

VL - 84

SP - 012403-1 to 0 - 1 to 012403-4

JO - Physical Review B

JF - Physical Review B

ER -

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

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