Phase diagram of Kondo-Heisenberg model on honeycomb lattice with geometrical frustration

Abstract

We calculated the phase diagram of the Kondo-Heisenberg model on two-dimensional honeycomb lattice with both nearest-neighbor and next-nearest-neighbor antiferromagnetic spin exchanges, to investigate the interplay between RKKY and Kondo interactions at presence of magnetic frustration. Within a mean-field decoupling technology in slave-fermion representation, we derived the zero-temperature phase diagram as a function of Kondo coupling $J_k$ and frustration strength $Q$. The geometrical frustration can destroy the magnetic order, driving the original antiferromagnetic (AF) phase to non-magnetic valence bond state (VBS). In addition, we found two distinct VBS. As $J_k$ is increased, a phase transition from AF to Kondo paramagnetic (KP) phase occurs, without the intermediate phase coexisting AF order with Kondo screening found in square lattice systems. In the KP phase, the enhancement of frustration weakens the Kondo screening effect, resulting in a phase transition from KP to VBS. We also found a process to recover the AF order from VBS by increasing $J_k$ in a wide range of frustration strength. Our work may provide deeper understanding for the phase transitions in heavy-fermion materials, particularly for those exhibiting triangular frustration.

References in corpus (28)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Locally critical quantum phase transitions in strongly correlated metals
• Hall-effect evolution across a heavy-fermion quantum critical point
• Frustration and the Kondo effect in heavy fermion materials
• The phase diagram of the hexagonal lattice quantum dimer model
• Destruction of Kondo effect in cubic heavy fermion compound Ce3Pd20Si6
• Phase Diagram of the quadrumerized Shastry-Sutherland Model
• Fermi Surface Reconstruction without Breakdown of Kondo Screening at Quantum Critical Point
• Spin Liquids and Antiferromagnetic Order in the Shastry-Sutherland-Lattice Yb${}_2$Pt${}_2$Pb
• Quantum bicriticality in the heavy-fermion metamagnet YbAgGe
• Coexisting Kondo singlet state with antiferromagnetic long-range order: A possible ground state for Kondo insulators
• Fermi-surface evolution across the magnetic phase transition in the Kondo lattice model
• Approaching quantum criticality in a partially geometrically frustrated heavy-fermion metal
• Fermi Surface Reconstruction in CeRh${}_{1-x}$Co${}_x$In${}_5$
• Scaling picture of magnetism formation in the anomalous f-systems: interplay of the Kondo effect and spin dynamics
• Fermi surface of CeIn3 above the Neel critical field
• Variational Monte Carlo approach to the two-dimensional Kondo lattice model
• Avoided ferromagnetic quantum critical point: Unusual short-range ordered state in CeFePO
• Quantum Phases of the Shastry-Sutherland Kondo Lattice: Implications for the Global Phase Diagram of Heavy Fermion Metals
• Anomalous reduction of the Lorenz ratio at the quantum critical point in YbAgGe
• Competing topological and Kondo insulator phases on a honeycomb lattice
• Ferromagnetism in YbCu2Si2 at high pressure
• Heavy antiferromagnetic phases in Kondo lattices
• Non-Fermi-liquid behavior in the Kondo lattices induced by peculiarities of magnetic ordering and spin dynamics
• D-wave superconductivity induced by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
• Field-induced long-range magnetic order in the spin-singlet ground state system YbAl3C3: Neutron diffraction study
• Antiferromagnetic Phases of the Kondo Lattice
• Structural Domain Switching by Magnetic Fields in RAl${}_3$C${}_3$ (R=Rare Earth)

Cited by in corpus (5)

• Chiral Spin Order in Kondo-Heisenberg systems
• Phase evolution of Ce-based heavy-fermion superconductors under compression: a combined first-principle and effective-model study
• From Frustrated to Unfrustrated: Coupling two triangular-lattice itinerant Quantum Magnets
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Global phase diagram of a spin-orbit-coupled Kondo lattice model on the honeycomb lattice