Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice

Abstract

We study the spin-1/2 Heisenberg antiferromagnet on a bilayer honeycomb lattice including interlayer frustration. Using a set of complementary approaches, namely Schwinger bosons, dimer series expansion, bond operators, and exact diagonalization, we map out the quantum phase diagram. Analyzing ground state energies and elementary excitation spectra, we find four distinct phases, corresponding to three collinear magnetic long range ordered states, and one quantum disordered interlayer dimer phase. We detail, that the latter phase is adiabatically connected to an "exact" singlet product ground state of the the bilayer which exists along a line of maximum interlayer frustration. The order within the remaining three phases will be clarified.

12 pages, 12 figures

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Cited by in corpus (13)

• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• A frustrated honeycomb-bilayer Heisenberg antiferromagnet: The spin-$\frac{1}{2}$ $J_1$--$J_2$--$J_1^{\perp }$ model
• Phase transitions, order by disorder and finite entropy in the Ising antiferromagnetic bilayer honeycomb lattice
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• A high-order study of the quantum critical behavior of a frustrated spin-$\frac{1}{2}$ antiferromagnet on a stacked honeycomb bilayer
• Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12(NO3)
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Ising versus Potts criticality in a low-temperature magnetothermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer
• An effective field theory approach for the $S=3/2$ bilayer honeycomb antiferromagnet
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field
• Inducing critical phenomena in spin chains through sparse alternating fields
• Optimizing configurations for determining the magnetic model based on ab-initio calculations
• Twisted superfluid and supersolid phases of triplons in bilayer honeycomb magnets