Classical ground states of spin lattices
| Autor: | Heinz-Jürgen Schmidt, Johannes Richter |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Condensed Matter - Other Condensed Matter
Statistics and Probability Condensed Matter - Strongly Correlated Electrons Strongly Correlated Electrons (cond-mat.str-el) Modeling and Simulation FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics Other Condensed Matter (cond-mat.other) |
| Zdroj: | Journal of Physics A |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8121/aca36d |
| Popis: | We present a generalization of the Luttinger-Tisza-Lyons-Kaplan (LTLK) theory of classical ground states of Bravais lattices with Heisenberg coupling to non-Bravais lattices. It consists of adding certain Lagrange parameters to the diagonal of the Fourier transformed coupling matrix analogous to the theory of the general ground state problem already published. This approach is illustrated by an application to a modified honeycomb lattice, which has exclusive three-dimensional ground states as well as a classical spin-liquid ground state for different values of the two coupling constants. Another example, the modified square lattice, shows that we can also obtain so-called incommensurable ground states by our method. Comment: With respect to the 1st version we have formulated a new Proposition 2 and partially corrected one example. With respect to the 2nd version we have added some explanations and a further reference |
| Databáze: | OpenAIRE |
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