J. Mikiesz, \The global minimum of energy is not always a sum of local minima | a note on frustration." Journal of Statistical Physics 71 (1993) 425-434. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Complexity of Two-Dimensional Patterns - Lindgren, Moore, Nordahl (2000) (7 citations) (Correct)
....of an LLL. Conversely, every LLL is the ground state of some local lattice Hamiltonian, which assigns a zero energy to allowed blocks and a positive energy to others. Even if the ground states are frustrated, in that they do not locally minimize the Hamiltonian, they can often (but not always [38]) be represented by an LLL of larger range. For instance, the set of ground states of the antiferromagnet on the triangular lattice is an LLL where the allowed triangles have two s and one #, or vice versa; this de nes a 3 point Hamiltonian with the same ground states which is locally ....
J. Mikiesz, \The global minimum of energy is not always a sum of local minima | a note on frustration." Journal of Statistical Physics 71 (1993) 425-434.
Complexity of Two-Dimensional Patterns - Lindgren, Moore, Nordahl (1997) (7 citations) (Correct)
....of an LLL. Conversely, every LLL is the ground state of some local lattice Hamiltonian, which assigns a zero energy to allowed blocks and a positive energy to others. Even if the ground states are frustrated, in that they do not locally minimize the Hamiltonian, they can often (but not always [33]) be represented by an LLL of larger range. For instance, the set of ground states of the antiferromagnet on the triangular lattice is an LLL where the allowed triangles have two s and one #, or vice versa; this defines a 3 point Hamiltonian with the same ground states which is locally ....
J. Mikiesz, "The global minimum of energy is not always a sum of local minima --- a note on frustration." Journal of Statistical Physics 71 (1993) 425--434.
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