Comparison of several tetrahedra-based lattices
2001 ◽
Vol 79
(11-12)
◽
pp. 1353-1357
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Keyword(s):
A comparison of the quantum Heisenberg anti-ferromagnetic model on the pyrochlore lattice, the checkerboard lattice, and the square lattice with crossing interactions is performed. The three lattices are constructed with the same tetrahedral unit cell and this property is used to describe the low-energy spectrum by means of an effective Hamiltonian restricted to the singlet sector. We analyze the structure of the effective Hamiltonian and solve it within a mean-field approximation for the three lattices. PACS No.: 75.10Jm
1988 ◽
Vol 01
(09n10)
◽
pp. 341-347
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1998 ◽
Vol 206
(1)
◽
pp. R5-R6
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Keyword(s):
2013 ◽
Vol 45
(4)
◽
pp. 1157-1181
◽
2020 ◽
Vol 378
(2171)
◽
pp. 20190259
◽
2010 ◽
Vol 2010
◽
pp. 1-5
◽
2000 ◽
Vol 14
(29n31)
◽
pp. 3508-3513
◽
1992 ◽
Vol 4
(28)
◽
pp. L389-L394
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Keyword(s):