Magnetization of Antiferromagnetic Cactus Graph Model with Exact Dimer Ground State

Abstract

We introduce and explore the magnetization behavior in a quantum spin system on a cactus graph, deemed the Cactus Graph Model (CGM), featuring an exact dimer singlet ground state. We analyze the singlet-triplet gap, interactions among excited triplets, and correlated hopping under an external magnetic field using a strong coupling expansion. Employing an effective hard-core boson representation, we unveil density wave magnetization plateaus and supersolid phases, revealing the intricate interplay between interactions and hopping dynamics. Furthermore, we conjecture that correlated hopping gives rise to multi-triplet bound states, and potentially engendering to the stabilization of additional low-lying magnetization plateaus.

arXiv comment7 pages, 5 figures

References in corpus (31)

• Statistical mechanics of complex networks
• Evolution of networks
• Critical phenomena in complex networks
• "Deconfined" quantum critical points
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Unusual ordered phases of highly frustrated magnets: a review
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Cayley Trees and Bethe Lattices, a concise analysis for mathematicians and physicists
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• Theory of magnetization plateaux in the Shastry-Sutherland model
• Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Phase diagram of the Shastry-Sutherland Compound SrCu2(BO3)2 under extreme combined conditions of field and pressure
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• The spin-half Heisenberg antiferromagnet on two Archimedian lattices: From the bounce lattice to the maple-leaf lattice and beyond
• Dynamics and Instabilities of the Shastry-Sutherland Model
• Another Exact Ground State of a 2D Quantum Antiferromagnet
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• Maple Leaf Antiferromagnet in a Magnetic Field
• Featureless quantum spin liquid, 1/3-magnetization plateau state and exotic thermodynamic properties of spin-1/2 frustrated Heisenberg antiferromagnet on an infinite Husimi lattice
• Unconventional magnetization plateaus in a Shastry-Sutherland spin tube
• Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet
• Pressure dependence of the magnetization plateaus of SrCu_2(BO_3)_2
• Supersolid phases of hardcore bosons on the square lattice: Correlated hopping, next-nearest neighbor hopping and frustration
• Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices