Ground-state phase diagram and magnetic properties of a tetramerized spin-1/2 J_1-J_2 model: BEC of bound magnons and absence of the transverse magnetization

Abstract

We study the ground state and the magnetization process of a spin-1/2 $J_1$-$J_2$ model with a plaquette structure by using various methods. For small inter-plaquette interaction, this model is expected to have a spin-gap and we computed the first- and the second excitation energies. If the gap of the lowest excitation closes, the corresponding particle condenses to form magnetic orders. By analyzing the quintet gap and magnetic interactions among the quintet excitations, we find a spin-nematic phase around $J_1/J_2\sim -2$ due to the strong frustration and the quantum effect. When high magnetic moment is applied, not the spin-1 excitations but the spin-2 ones soften and dictate the magnetization process. We apply a mean-field approximation to the effective Hamiltonian to find three different types of phases (a conventional BEC phase, ``striped'' supersolid phases and a 1/2-plateau). Unlike the BEC in spin-dimer systems, this BEC phase is not accompanied by transverse magnetization. Possible connection to the recently discovered spin-gap compound (CuCl)LaNb2O7 is discussed.

arXiv comment18pages, 17figures; title changed, typos corrected

References in corpus (31)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Supersolid hardcore bosons on the triangular lattice
• Nematic order in square lattice frustrated ferromagnets
• Magnetic Field-Induced Condensation of Triplons in Han Purple Pigment BaCuSi${}_2$O${}_6$
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Phase separation in supersolids
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Li${}_2$VO(Si,Ge)O${}_4$, a prototype of a two-dimensional frustrated quantum Heisenberg antiferromagnet
• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Supersolid phase of hardcore bosons on triangular lattice
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Observation of Field-Induced Transverse Néel Ordering in the Spin Gap System TlCuCl${}_3$
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• Classifying Novel Phases of Spinor Atoms
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Superfluids and Supersolids on Frustrated 2D Lattices
• Simultaneous Diagonal and Off Diagonal Order in the Bose--Hubbard Hamiltonian
• Characteristic BEC scaling close to Quantum Critical Point in BaCuSi2O6
• ESR study on the excited state energy spectrum of SrCu${}_2$(BO${}_3$)${}_2$ -a central role of multiple-triplet bound states
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• Quantum and thermal transitions out of the supersolid phase of a 2D quantum antiferromagnet
• Supersolid phase in spin dimer XXZ systems under magnetic field
• Quantum insulating states of F=2 cold atoms in optical lattices
• Quantum Criticality in an Organic Magnet
• Magnetic and Structural Studies of the Quasi-Two-Dimensional Spin-Gap System (CuCl)LaNb2O7
• Spontaneous dimer order, excitation spectrum, and quantum phase transitions in the J1-J2 Heisenberg model
• Absence of single particle Bose-Einstein condensation at low densities for bosons with correlated-hopping

Cited by in corpus (21)

• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• Phase separation and frustrated square lattice magnetism of Na1.5VOPO4F0.5
• Plaquette valence-bond solid in the square lattice J1-J2 antiferromagnet Heisenberg model: a bond operator approach
• Shannon-Rényi entropies and participation spectra across 3d $O(3)$ criticality
• Quantum magnetism on the Cairo pentagonal lattice
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• The Phase Transition of Square Lattice Antiferromagnets at Finite Temperature
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
• Ferromagnetically coupled dimers on the distorted Shastry-Sutherland lattice: Application to (CuCl)LaNb2O7
• Ground-state phase diagram of the spin-1/2 square-lattice J1-J2 model with plaquette structure
• Electron spin resonance for the detection of long-range spin nematic order
• Magnetic phase diagram slightly below the saturation field in the stacked $J_1$-$J_2$ model in the square lattice with the $J_{\text{C}}$ interlayer coupling
• Exact matrix product states at the quantum Lifshitz tricritical point in a spin-1/2 zigzag-chain antiferromagnet with anisotropic $\Gamma$-term
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Magnetic structure and spin waves in the frustrated ferro-antiferromagnet Pb${}_2$VO(PO${}_4$)${}_2$
• Two-photon driven magnon-pair resonance as a signature of spin-nematic order
• Linear Flavor-Wave Analysis of SU(4)-Symmetric Tetramer Model with Population Imbalance
• Control of superexchange interactions with DC electric fields
• Model studies of topological phase transitions in materials with two types of magnetic atoms
• Optomagnonic Josephson effect in antiferromagnets