Dimensional reduction in quantum spin-
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 system on a 
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-depleted triangular lattice

Makuta, Ryo; Hotta, Chisa

doi:10.1103/physrevb.104.224415

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2022

2024

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Cited by 7 publications

(1 citation statement)

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“…In particular, we address the question raised by experiment: why do the susceptibility and specific heat of bluebellite appear to have a Bonner-Fisher type shape, suggestive of one-dimensional systems? An answer to this question based on order-by-disorder was attempted without knowledge of the Hamiltonian [22]. Methodologically, we apply the energy mapping technique which has proved valuable in extracting the Hamiltonian couplings for many important quantum spin systems [23][24][25][26].…”

mentioning

confidence: 99%

Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite

Ghosh¹,

Müller²,

Iqbal³

et al. 2023

Preprint

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mentioning

confidence: 99%

Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite

Ghosh¹,

Müller²,

Iqbal³

et al. 2023

Preprint

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Triplon analysis of magnetic disorder and order in maple-leaf Heisenberg magnet

Ghosh

2024

J. Phys.: Condens. Matter

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The nearest-neighbor spin-1/2 Heisenberg model on the maple-leaf lattice formed by hexagons (coupling Jh), triangles (coupling Jt), and dimers (coupling Jd), is investigated in a parameter regime where Jh>0 and Jt, Jd<0. This investigation aims to identify regions hosting exotic valence-bond solid states. Two potential magnetically disordered ground states are identified, and their stability is assessed through plaquette-triplon mean-field analyses. The resulting quantum phase diagram reveals that at large |Jt| and |Jd|, the system adopts a magnetically disordered dimerized VBS state, while for small Jd, it stabilizes a Néel state. A second-order phase transition from the dimerized phase to a Néel phase is observed, which, being Landau-forbidden, suggests the potential presence of exotic phenomena such as a deconfined quantum critical point or the appearance of a quantum spin liquid. This work provides insights into the phase diagram of the nearest-neighbor spin-1/2 Heisenberg model on the maple-leaf lattice and lays the groundwork for further investigations into its intriguing physics.

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