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

Abstract

The search for flat-band solid-state realizations is a crucial issue to verify or to challenge theoretical predictions for quantum many-body flat-band systems. For frustrated quantum magnets flat bands lead to various unconventional properties related to the existence of localized many-magnon states. The recently synthesized magnetic compound Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$ seems to be an almost perfect candidate to observe these features in experiments. We develop a theory for Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$ by adapting the localized-magnon concept to this compound. We first show that our theory describes the known experimental facts and then we propose new experimental studies to detect a field-driven phase transition related to a Wigner-crystal-like ordering of localized magnons at low temperatures.

arXiv comment8 pages, 6 figures, accepted in Physical Review B

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• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Emergent criticality in fully frustrated quantum magnets
• Localized magnetic excitations in the fully frustrated dimerized magnet Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$
• Frustrated quantum Heisenberg double-tetrahedral and octahedral chains at high magnetic fields
• Anomalous thermodynamics of a quantum spin system with large residual entropy
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
• Magnetic properties of delta- and kagome-like chains with competing interactions
• Liquid-gas analog multicriticality in a frustrated Ising bilayer
• Spin triangle chain with ferromagnetic and antiferromagnetic interactions on the transition line
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Magnetic properties of ferro-antiferromagnetic spin triangle chain
• Quantum Heisenberg antiferromagnet in a field on the Tasaki square lattice
• Phase diagram and macroscopic ground state degeneracy of frustrated spin-1/2 anisotropic Heisenberg model on diamond-decorated lattices