Thermodynamic properties of frustrated arbitrary spin-S J1–J2 quantum Heisenberg antiferromagnet on the body-centered-cubic lattice in random phase approximation

• Published in: Solid state communications 2016-07, Vol.239, p.20-26
• Main Author: Mi, Bin-Zhou
• Format: Article
• Language: English
• Subjects: Frustrated arbitrary spin-S Heisenberg antiferromagnet; Green׳s functional method; Néel phase; Thermodynamic properties
• ISSN: 0038-1098; 1879-2766
• DOI: 10.1016/j.ssc.2016.04.015

The thermodynamic properties of the frustrated arbitrary spin-S J1–J2 Heisenberg antiferromagnet on the body-centered-cubic lattice for Néel phase are systematically calculated by use of the double-time Green׳s function method within the random phase approximation (RPA). The role of spin quantum number and frustration strength on sublattice magnetization, Néel temperature, internal energy, and free energy are carefully analyzed. The curve of zero-temperature sublattice magnetization 〈Sz(0)〉/S versus frustration strength J2/J1 values are almost flat at the larger spin quantum number S=10. With the increase of normalized temperature T/TN, the larger the spin quantum number S, the faster the 〈Sz〉/S drops, and the smaller influence of J2/J1 on the 〈Sz〉/S versus T/TN curve. Under the RPA approach, the Néel temperature TN /Sp and the internal energy E/Sp at the Néel point are independent of spin quantum number S. The numerical results show that the internal energy E/Sp at the Néel point seems independent of the frustration strength J2/J1. This indicates that thermodynamic quantities have universal characteristics for large spin quantum number. •Thermodynamics of the frustrated arbitrary spin-S J1–J2 Heisenberg antiferromagnet on the body-centered-cubic lattice for Néel phase is investigated.•Double-time Green׳s function technique is used.•Both the frustration strength and spin quantum number have great influence on the thermodynamic quantities at zero temperature and finite temperature.