Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice

Abstract

We investigate the ground-state and finite-temperature properties of the $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice in the presence of an external magnetic field. We focus on the highly frustrated regime around $J_2\approx J_1/2$. The $h$-$T$ phase diagram is investigated with particular emphasis on the finite-temperature transition into the "up-up-up-down" state that is stabilized by thermal and quantum fluctuations and manifests itself as a plateau at one half of the saturation magnetization in the quantum case. We also discuss the enhanced magnetocaloric effect associated to the ground-state degeneracy that arises at the saturation field for $J_2=J_1/2$. For reference, we first study the classical case by classical Monte Carlo simulations. Then we turn to the extreme quantum limit of spin-1/2 where we perform zero- and finite-temperature Lanczos calculations.

arXiv comment15 pages including 12 (multi-panel) figures; legacy paper in honor of Johannes Richter; main changes in version 2: magnetization curves added to Fig. 3, Refs. [83,93,107,108,138] added; version 3 corrects errors that were discovered in two inline equations during production and replaces the source files of Fig. 12 with a more robust and compact version (no changes of content)

References in corpus (97)

• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Nematic order in square lattice frustrated ferromagnets
• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Enhanced magnetocaloric effect in frustrated magnets
• Canonical Thermal Pure Quantum State
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Li${}_2$VO(Si,Ge)O${}_4$, a prototype of a two-dimensional frustrated quantum Heisenberg antiferromagnet
• Thermal Pure Quantum States at Finite Temperature
• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• J_1-J_2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
• New quantum phase transitions in the two-dimensional J1-J2 model
• Exploring frustrated spin-systems using Projected Entangled Pair States (PEPS)
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• Magnetocaloric effect in one-dimensional antiferromagnets
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice
• Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
• Quantum $J_1$--$J_2$ antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Magnetic and thermodynamic properties of Li(2)VOSiO(4): a two-dimensional S=1/2 frustrated antiferromagnet on a square lattice
• Field induced ordering in highly frustrated antiferromagnets
• Magnetism of the N=42 kagome lattice antiferromagnet
• A tensor product state approach to spin-1/2 square $J_1$-$J_2$ antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality
• Frustrated two dimensional quantum magnets
• Hierarchical mean-field approach to the $J_1$-$J_2$ Heisenberg model on a square lattice
• Frustration driven structural distortion in VOMoO4
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• $U(1)$-symmetric infinite projected entangled-pair state study of the spin-$1/2$ square $J_1-J_2$ Heisenberg model
• Phase Transitions in the Spin-Half J_1--J_2 Model
• Quantum critical phase with infinite projected entangled paired states
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Magnetocaloric effect in the frustrated square lattice J1-J2 model
• Schwinger-boson approach to quantum spin systems: Gaussian fluctuactions in the "natural" gauge
• Magnetic phase diagrams of classical triangular and kagome antiferromagnets
• Gapless spin liquid ground state of spin-1/2 $J_1$-$J_2$ Heisenberg model on square lattices
• Spin-1/2 J1-J2 Heisenberg antiferromagnet on a square lattice: a plaquette renormalized tensor network study
• Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
• The spin-1/2 square-lattice J_1-J_2 model: The spin-gap issue
• High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• On The Violation Of Marshall-Peierls Sign Rule In The Frustrated $J_1-J_2$ Heisenberg Antiferromagnet
• Investigation of the Néel phase of the frustrated Heisenberg antiferromagnet by differentiable symmetric tensor networks
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Plaquette valence-bond solid in the square lattice J1-J2 antiferromagnet Heisenberg model: a bond operator approach
• Sublattice Coding Algorithm and Distributed Memory Parallelization for Large-Scale Exact Diagonalizations of Quantum Many-Body Systems
• Quantum stabilization of classically unstable plateau structures
• Magnetocaloric effect in two-dimensional spin-1/2 antiferromagnets
• Quantum fluctuations in high field magnetization of 2D square lattice J1-J2 antiferromagnets
• Cooling through quantum criticality and many-body effects in condensed matter and cold gases
• Advanced Finite-Temperature Lanczos Method for anisotropic spin systems
• Field-enhanced quantum fuctuation in S=1/2 frustrated square lattice
• Thermodynamics of a frustrated quantum magnet on a square lattice
• Effects of two-loop contributions in the pseudofermion functional renormalization group method for quantum spin systems
• Frustrated antiferromagnets at high fields: the Bose-Einstein condensation in degenerate spectra
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Real-space perturbation theory for frustrated magnets: application to magnetization plateaus
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• The two dimensional antiferromagnetic Heisenberg model in the presence of an external field
• Quantum phase diagram of spin-$1$ $J_1-J_2$ Heisenberg model on the square lattice: an infinite projected entangled-pair state and density matrix renormalization group study
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Ordered moment in the anisotropic and frustrated square lattice Heisenberg model
• Simulating a two-dimensional frustrated spin system with fermionic resonating-valence-bond states
• Thermal Ising transition in the spin-1/2 J1-J2 Heisenberg model
• Resonating valence bond trial wave functions with both static and dynamically determined Marshall sign structure
• Thermodynamic properties of the 2D frustrated Heisenberg model for the entire $J_1-J_2$ circle
• Field Induced Quantum Phase Transitions in $S=1/2$ $J_1$-$J_2$ Heisenberg Model on the Square Lattice
• Deformed spin-$\frac{1}{2}$ square lattice in antiferromagnetic NaZnVOPO${}_4$(HPO${}_4$)
• Quantum magnetism in the frustrated square lattice oxyhalides YbBi2IO4 and YbBi2ClO4
• Contrasting Magnetic Structures in SrLaCuSbO${}_6$ and SrLaCuNbO${}_6$: Spin-1/2 Quasi-Square-Lattice $J_1-J_2$ Heisenberg Antiferromagnets
• Phase diagram of the $J_1$-$J_2$ quantum Heisenberg model for arbitrary spin
• Chern-Simons Theory for Magnetization Plateaus of Frustrated $J_1$-$J_2$ Heisenberg model
• Comment on "Gapless spin liquid ground state of the spin-$\frac{1}{2}$ $J_1$-$J_2$ Heisenberg model on square lattices"
• The Green's function Monte Carlo combined with projected entangled pair state approach to the frustrated $J_1$-$J_2$ Heisenberg model
• Pressure-induced phase transition in the $J_1$-$J_2$ square lattice antiferromagnet RbMoOPO${}_4$Cl
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions
• Field-Induced Order and Magnetization Plateaux in Frustrated Antiferromagnets
• Field induced non-BEC transitions in frustrated magnets
• Plaquette-type valence bond solid state in the $J_1$-$J_2$ square-lattice Heisenberg model
• Two dimensional frustrated magnets in high magnetic field
• Third-order magnetic susceptibility of the frustrated square-lattice antiferromagnet
• From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Two-dimensional frustrated spin systems in high magnetic fields
• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Reply to comments on "Gapless spin liquid ground state of spin-1/2 $J_1$-$J_2$ Heisenberg model on square lattices"