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SUMMARY:The Magnetization processes of the exact dimer ground state of th
e maple leaf model: interactions\, correlated hopping\, and bound states
DTSTART;VALUE=DATE-TIME:20220922T053000Z
DTEND;VALUE=DATE-TIME:20220922T063000Z
DTSTAMP;VALUE=DATE-TIME:20221209T192202Z
UID:indico-event-8572@cern.ch
DESCRIPTION:We present the exact dimer ground state of a quantum antiferro
magnet on the maple-leaf lattice [1]. A coupling anisotropy for one of the
three inequivalent nearest-neighbor bonds is sufficient to stabilize the
dimer state. Together with the Shastry-Sutherland Hamiltonian [2]\, this i
s the only other model with an exact dimer ground state for all two-dimens
ional lattices with uniform tilings. By performing Numerical simulations\
, we show that the exact dimer state in the current model is more stable t
han the same in the Shastry-Sutherland model. \nTo further understand the
magnetic characteristics of this model\, we investigate its behavior in th
e presence of an external uniform magnetic field. By treating the magnetic
excitations produced by the field as Bose particles and applying strong-c
oupling expansion we develop an effective Hamiltonian for the magnetic par
ticle interactions. This effective theory allows us to predict several nov
el magnetization plateaus. We will also discuss how the lattice’s struct
ure influences the dynamical behavior of these magnetic excitations\, caus
ing multi-particle bound states to condense and give rise to very low magn
etizations.\n\nReferences:\n[1] P. Ghosh\, T. Müller\, R. Thomale\, Phys.
Rev. B 105\, L180412 (2022).\n[2] B. S. Shastry and B. Sutherland\, Physi
ca B+C 108\, 1069 (1981)\n\nhttps://indico.tifr.res.in/indico/conferenceDi
splay.py?confId=8572
LOCATION: AG 66
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=8572
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