Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice

Abstract

We predict and observed novel highly anisotropic magnetic patterns obtained in the model of frustrated planar interacting magnetic moments (the classical $X-Y$ model) on the regular kagome lattice. The frustration is provided by the presence of both ferromagnetic and anti-ferromagnetic interactions between adjacent magnetic moments defined on the lattice nodes. At the critical value of the frustration $f=f_{cr}=3/4$ such a systems displays the phase transition from the ordered ferromagnetic state to the disordered frustration regime characterized by the highly-degenerated ground state. In the frustrated regime, $f_{cr}<f\le 1$, unexpected scaling of spatially averaged magnetization $⟨\vec{M}⟩$ on the total number of nodes,$N$, i.e. $⟨\vec{M}⟩\simeq N^{-1/4}$, has been obtained. Such scaling is provided by highly anisotropic magnetic patterns displaying the ferromagnetic ordering along the $y$-direction, and short-range correlations of magnetic moments along the $x$-direction. We conjecture that all these intriguing features are explained by the presence of the double-degenerated ground state in the basic cell, i.e. single triangle, of the kagome lattice accompanying a large amount of intrinsic constraints. We anticipate the implementation of the phase transition and anisotropic magnetic patterns in various systems, e.g. natural magnetic molecular clusters, artificially prepared Josephson junctions networks, trapped-ions and/or photonic crystals.

5 pages, 4 figures

References in corpus (5)

• Observation of bound states in Lieb photonic lattices
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
• Thermodynamic properties of Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$ in strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet
• Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice

Cited by in corpus (6)

• Tensor network approach to the fully frustrated XY model on a kagome lattice with a fractional vortex-antivortex pairing transition
• Unified tensor network theory for frustrated classical spin models in two dimensions
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Phase coherence of charge-$6e$ superconductors via a frustrated Kagome XY antiferromagnet
• Fast-forward adiabatic quantum dynamics of XY spin model on three spin system
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction