The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field

Abstract

We compare the ground-state features of alternating ferrimagnetic chains $(1/2,S)$ with $S=1,3/2,2,5/2$ in a magnetic field and the corresponding Holstein-Primakoff bosonic models up to order $\sqrt{s/S}$, with $s=1/2$, considering the fully polarized magnetization as the boson vacuum. {The single-particle Hamiltonian is a Rice-Mele model with uniform hopping and modified boundaries, while the interactions have a correlated (density-dependent) hopping term and magnon-magnon repulsion.} The magnon-magnon repulsion increases the many-magnon energy and the density-dependent hopping decreases the kinetic energy. We use density matrix renormalization group calculations to investigate the effects of these two interaction terms in the bosonic model{, and display the quantitative agreement between the results from the spin model and the full bosonic approximation. In particular, we verify the good accordance in the behavior of the edge states, associated with the ferrimagnetic plateau, from the spin and from the bosonic models. Furthermore, we show that the boundary magnon density strongly depends on the interactions and particle statistics.

13 pages, 6 figures

References in corpus (19)

• Bose-Einstein Condensation in Magnetic Insulators
• Superconductivity in repulsively interacting fermions on a diamond chain: flat-band induced pairing
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Observation of Density-Induced Tunneling
• Single-particle versus pair condensation of hard-core bosons with correlated hopping
• Entanglement in extended Hubbard models and quantum phase transitions
• The interacting Rice-Mele model: bulk and boundaries
• Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Magnetism and thermodynamics of spin-(1/2,1) decorated Heisenberg chain with spin-1 pendants
• Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
• Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
• Magnetic signatures of quantum critical points of the ferrimagnetic mixed spin-(1/2, S) Heisenberg chains at finite temperatures
• Pair Superfluid and Supersolid of Correlated Hard-Core Bosons on a Triangular Lattice
• Frustration-Induced Ferrimagnetism in S=1/2 Heisenberg Spin Chain
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Topological incommensurate magnetization plateaus in quasi-periodic quantum spin chains
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains

Cited by in corpus (4)

• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Ground-state phase diagram and thermodynamics of coupled trimer chains
• Numerical interchain mean-field theory for the specific heat of the bimetallic ferromagnetically coupled chain compound MnNi(NO${}_2$)${}_4$(en)${}_2$ (en = ethylenediamine)
• Mixed-spin Heisenberg ladders in a magnetic field