The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond

2013/12/04 by Oleg Derzhko, Johannes Richter, Olesia Krupnitska +1 · 16 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Heisenberg model #Lattice (music) #Magnon #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum phase transition #Spin (aerodynamics) #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1063/1.4881184

published in Low Temperature Physics 40(6), 513-520 (American Institute of Physics) · 6 figures

arxiv created 2013/12/04 · openalex publication_date 2014/06/01 · arxiv updated 2014/09/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians which emerge at high magnetic fields. The effective model to describe the low-energy degrees of freedom of the initial frustrated quantum spin model is the (unfrustrated) square-lattice spin-1/2 XXZ model in a z-aligned magnetic field. For the effective model we perform quantum Monte Carlo simulations to discuss the low-temperature properties of the square-kagome quantum Heisenberg antiferromagnet at high magnetic fields. We pay special attention to a magnetic-field driven Berezinskii-Kosterlitz-Thouless phase transition which occurs at low temperatures.

Citations

• Quantum phase transitions in the two-dimensional hardcore boson model
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• Analytical and numerical study of hardcore bosons in two dimensions
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
• Infinite series of magnetization plateaus in the frustrated dimer-plaquette chain
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• Universal jump in the helicity modulus of the two-dimensional quantum XY model
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• The critical properties of the two-dimensional xy model
• Computing the Roughening Transition of Ising and Solid-On-Solid Models by BCSOS Model Matching
• Ordering, metastability and phase transitions in two-dimensional systems
• Frustration-induced phase transitions in the spin-Sorthogonal-dimer chain

Cited by

• Landscape of incompressible crystals of hard-core bosons on the square-kagome lattice