An effective field theory approach for the $S=3/2$ bilayer honeycomb antiferromagnet

Abstract

The spin-3/2 Heisenberg antiferromagnet on the bilayer honeycomb lattice is a minimal model to describe the magnetic behavior of Bi${}_3$Mn${}_4$O${}_{12}$(NO${}_3$). We study this model with frustrating inter-layer second-neighbor couplings, taking into account quantum and thermal fluctuations. We use a path integral formulation in terms of coherent states to describe the low energy physics of the model. We show that for a particular point in the parameter space, close to the experimental estimated couplings, a continuum classical degeneracy is lifted by both quantum and thermal fluctuations, and a collinear state is then selected by an order by disorder mechanism. Our results provide a global perspective in the understanding of the experimental observations.

References in corpus (39)

• Fault-tolerant quantum computation by anyons
• Quantum Orders and Symmetric Spin Liquids
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Nature of the spin liquid state of the Hubbard model on honeycomb lattice
• Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory
• Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
• Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: the $J_1$--$J_2$--$J_3$ model
• Ground-state phase diagram of the quantum J1-J2 model on the honeycomb lattice
• Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Quantum disordered phase on the frustrated honeycomb lattice
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
• Quantum paramagnetic ground states on the honeycomb lattice and field-induced transition to Néel order
• Quantum paramagnets on the honeycomb lattice and field-induced Néel order: Possible application to Bi${}_3$Mn${}_4$O${}_{12}$(NO${}_3$)
• Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: $J_1$--$J_2$ model
• Competition between spin liquids and valence-bond order in the frustrated spin-$1/2$ Heisenberg model on the honeycomb lattice
• Valence-bond crystalline order in the $s=1/2$ $J_1$--$J_2$ model on the honeycomb lattice
• Ground state properties, excitation spectra and phase transitions in the $S=1/2$ and $S=3/2$ bilayer Heisenberg models on the honeycomb Lattice
• Geometric phases and the magnetization process in quantum antiferromagnets
• Quantum phases in the frustrated Heisenberg model on the bilayer honeycomb lattice
• Néel to dimer transition in spin-S antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
• Field induced multiple order-by-disorder state selection in antiferromagnetic honeycomb bilayer lattice
• A frustrated honeycomb-bilayer Heisenberg antiferromagnet: The spin-$\frac{1}{2}$ $J_1$--$J_2$--$J_1^{\perp }$ model
• Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• Evidence of a spin liquid phase in the frustrated honeycomb lattice
• Combined analytical and numerical approach to study magnetization plateaux in doped quasi-one-dimensional antiferromagnets
• Origin of magnetic frustration in Bi${}_3$Mn${}_4$O${}_{12}$(NO${}_3$)
• Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets
• Diagnosing order by disorder in quantum spin systems
• Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12(NO3)
• Self consistent study of the quantum phases in a frustrated antiferromagnet on the bilayer honeycomb lattice
• Current jumps in flat band ladders with Dzyaloshinskii-Moriya interactions