The spin-1/2 Heisenberg ferromagnet on the pyrochlore lattice: A Green's function study

被引：2

作者：

Hutak, T. ^{[1
]}

Mueller, P. ^{[2
]}

Richter, J. ^{[2
,3
]}

Krokhmalskii, T. ^{[1
]}

Derzhko, O. ^{[1
,3
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Condensed Matter Phys, 1 Svientsitskii St, UA-79011 Lvov, Ukraine

[2] Otto von Guericke Univ, Inst Theoret Phys, POB 4120, D-39016 Magdeburg, Germany

[3] Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany

来源：

CONDENSED MATTER PHYSICS | 2018年 / 21卷 / 03期

关键词：

quantum spin system; Heisenberg model; pyrochlore lattice; Green's functions; random-phase approximation; CRITICAL EXPONENTS; MONTE-CARLO; TRANSITION; MODEL;

D O I：

10.5488/CMP.21.33705

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We consider the pyrochlore-lattice quantum Heisenberg ferromagnet and discuss the properties of this spin model at arbitrary temperatures. To this end, we use the Green's function technique within the random-phase (or Tyablikov) approximation as well as the linear spin-wave theory and quantum Monte Carlo simulations. We compare our results to the ones obtained recently by other methods to corroborate our findings. Finally, we contrast our results with the ones for the simple-cubic-lattice case: both lattices are identical at the mean-field level. We demonstrate that thermal fluctuations are more efficient in the pyrochlore case (finite-temperature frustration effects). Our results may be of use for interpreting experimental data for ferromagnetic pyrochlore materials.

引用

页数：13

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