The spin-1/2 square-lattice J1-J2 model: the spin-gap issue

2014/09/30 by Johannes Richter, J. Richter, Ronald Zinke +2 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Band gap #Condensed matter physics #Electron #Ferromagnetism #Gapless playback #Ground state #Heisenberg model #Ising model #Lattice (music) #Paramagnetism #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quantum spin liquid #Spin (aerodynamics) #Spin model #Spin polarization #Square lattice #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2014-50589-x

published as Eur. Phys. J. B 88, 2 (2015) · 10 pages, 3 figures, accepted version

arxiv created 2014/11/25 · openalex publication_date 2015/01/01 · arxiv updated 2015/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We use the coupled cluster method to high orders of approximation in order to calculate the ground-state energy, the ground-state magnetic order parameter, and the spin gap of the spin-1/2 J₁-J₂ model on the square lattice. We obtain values for the transition points to the magnetically disordered quantum paramagnetic phase of J₂^c1=0.454J₁ and J₂^c2= 0.588 J₁. The spin gap is zero in the entire parameter region accessible by our approach, i.e. for J₂ ≤ 0.49J₁ and J₂ > 0.58J₁. This finding is in favor of a gapless spin-liquid ground state in this parameter regime.

Citations

• Quantum phase transitions in the two-dimensionalJ1−J2model
• One-dimensional magnetism
• Ground state phases of the spin-1/2J1–J2Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Simulating two- and three-dimensional frustrated quantum systems with string-bond states
• Li2VO(Si,Ge)O4, a Prototype of a Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet
• Magnetic and thermodynamic properties ofLi2VOSiO4:A two-dimensionalS=1/2frustrated antiferromagnet on a square lattice
• Valence-bond crystal phase of a frustrated spin-1/2 square-lattice antiferromagnet
• Plaquette valence-bond crystal in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Coupled cluster treatment of the Shastry-Sutherland antiferromagnet
• The spin-1/2 J1–J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• An Efficient Implementation of High-Order Coupled-Cluster Techniques Applied to Quantum Magnets
• QuantumJ1−J2Antiferromagnet on a Stacked Square Lattice: Influence of the Interlayer Coupling on the Ground-State Magnetic Ordering
• Phase transitions in the spin-halfJ1−J2model
• Effect of anisotropy on the ground-state magnetic ordering of the spin-half quantumJ1XXZ–J2XXZmodel on the square lattice

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• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: Stability and properties of many-triplon states