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- W776582344 abstract "Starting from the archetypical geometrically frustrated magnetic objects -- equilateral triangle and tetrahedron -- we consider an imaginary object: a multidimensional tetrahedron with spins $1/2$ in the each vertex and equal Heisenberg magnetic exchange along each edge. Many-particle case is obtained by setting dimensionality $d$ to high numbers, hence providing likely the most geometrically frustrated magnetic system ever possible. This problem has an exact solution for each $d$, obtained by simple student-level approach. As a result, this imaginary object clearly demonstrates at $dto{}infty$ all the features characteristic for the real geometrically frustrated magnetic systems: highly-degenerate ground state; absence of the magnetic phase transition; perfect Curie-Weiss behavior down to $Tto{}0$; and vanishingly small exchange energy per one spin." @default.
- W776582344 created "2016-06-24" @default.
- W776582344 creator A5034850196 @default.
- W776582344 date "2015-04-21" @default.
- W776582344 modified "2023-09-27" @default.
- W776582344 title "An essentially geometrically frustrated magnetic object: an exact solution" @default.
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- W776582344 hasPublicationYear "2015" @default.
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