- Tytuł:
- The J₁-J₂ Model on the Anisotropic Triangular and the Square Lattice: Similarities and Differences
- Autorzy:
-
Schmidt, B.
Thalmeier, P. - Powiązania:
- https://bibliotekanauki.pl/articles/1385520.pdf
- Data publikacji:
- 2015-02
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
75.10.Jm
75.30.Cr
75.30.Ds - Opis:
- The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy, ground states with different magnetic properties can be realized. On the other hand, the J₁-J₂ model on the square lattice is a well-known example for frustration induced by competing exchange. The classical phase diagrams of the two models are related in a broad range of the control parameter ϕ=$tan^{-1}$(J₂/J₁). In both cases three different types of ground states are realized, each model having a ferromagnetic and an antiferromagnetic region in the phase diagram, and a third phase with columnar magnetic order for the square lattice and an in general incommensurate spiral structure for the triangular lattice. Quantum effects lift degeneracies in the non-FM phases and lead to additional nonmagnetic regions in the phase diagrams. The contribution of zero point fluctuations to ground state energy, wave vector, and ordered moment is discussed.
- Źródło:
-
Acta Physica Polonica A; 2015, 127, 2; 324-326
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki