Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field

Abstract

The spin-1/2 Heisenberg antiferromagnet on the frustrated diamond-decorated square lattice is known to feature various zero-field ground-state phases, consisting of extended monomer-dimer and dimer-tetramer ground states as well as a ferrimagnetic regime. Using a combination of analytical arguments, density matrix renormalization group (DMRG), exact diagonalization, as well as sign-problem-free quantum Monte Carlo (QMC) calculations, we investigate the properties of this system and the related Lieb lattice in the presence of a finite magnetic field, addressing both the ground-state phase diagram as well as several thermodynamic properties. In addition to the zero-field ground states, we find at high magnetic field a spin-canted phase with a continuously rising magnetization for increasing magnetic field strength, as well as the fully polarized paramagnetic phase. At intermediate field strength, we identify a first-order quantum phase transition line between the ferrimagnetic and the monomer-dimer regime. This first-order line extends to finite temperatures, terminating in a line of critical points that belong to the universality class of the two-dimensional Ising model.

arXiv comment16 pages, 17 figures; published version

References in corpus (55)

• The density-matrix renormalization group
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Spin-lattice coupling in frustrated antiferromagnets
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
• Order-Disorder Transition in a Two-Layer Quantum Antiferromagnet
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
• Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T
• Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model
• Observation of a 4-spin Plaquette Singlet State in the Shastry-Sutherland compound SrCu2(BO3)2
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Magnetization plateaux and jumps in a class of frustrated ladders: A simple route to a complex behaviour
• A quantum magnetic analogue to the critical point of water
• Exact Demonstration of Magnetization Pleateaus and First Order Dimer-Néel Phase Transitions in a Modified Shastry-Sutherland Model for SrCu${}_2$(BO${}_3$)${}_2$
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Various series expansions for a Heisenberg antiferromagnet model for SrCu${}_2$(BO${}_3$)${}_2$
• Fractalization drives crystalline states in a frustrated spin system
• Collective Singlet Excitations and Evolution of Raman Spectral Weights in the 2D Spin Dimer Compound SrCu2(BO3)2
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• First order transition between magnetic order and valence-bond order in a 2D frustrated Heisenberg model
• Easing the Monte Carlo sign problem
• Magnetic properties and spin waves of bilayer magnets in a uniform field
• Kosterlitz-Thouless transition of quantum XY model in two dimensions
• High Resolution Study of Spin Excitations in the Shastry-Sutherland Singlet Ground State of SrCu2(BO3)2
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
• Finite-temperature order-disorder phase transition in a frustrated bilayer quantum Heisenberg antiferromagnet in strong magnetic fields
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Diversity of quantum ground states and quantum phase transitions of a spin-1/2 Heisenberg octahedral chain
• Classical and quantum two-dimensional anisotropic Heisenberg antiferromagnets
• Exact non-magnetic ground state and residual entropy of S = 1/2 Heisenberg diamond spin lattices
• Field-Induced Quantum Phases in Frustrated Spin-Dimer Model: A Sign-Problem-Free Quantum Monte Carlo Study
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Determining QMC simulability with geometric phases
• Exact Realization of a Quantum-Dimer Model in Heisenberg Antiferromagnets on a Diamond-Like Decorated Lattice
• Ground States of Spin-1/2 Heisenberg Antiferromagnets with Frustration on a Diamond-Like Decorated Square Lattice
• Hierarchical single-ion anisotropies in spin-1 Heisenberg antiferromagnets on the honeycomb lattice
• Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets
• Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
• Quantum Monte Carlo simulations of highly frustrated magnets in a cluster basis: The two-dimensional Shastry-Sutherland model

Cited by in corpus (9)

• Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• All product eigenstates in Heisenberg models from a graphical construction
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Liquid-gas analog multicriticality in a frustrated Ising bilayer
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Magnetization of electronic ground states in frustrated superstable graphs
• Magnetization plateaus, spin-canted orders and field-induced transitions in a spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice
• Phase diagram and macroscopic ground state degeneracy of frustrated spin-1/2 anisotropic Heisenberg model on diamond-decorated lattices