Zero-temperature phase diagram for double-well type potentials in the summable variation class
2016 ◽
Vol 38
(3)
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pp. 863-885
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Keyword(s):
We study the zero-temperature limit of the Gibbs measures of a class of long-range potentials on a full shift of two symbols $\{0,1\}$. These potentials were introduced by Walters as a natural space for the transfer operator. In our case, they are constant on a countable infinity of cylinders and are Lipschitz continuous or, more generally, of summable variation. We assume that there exist exactly two ground states: the fixed points $0^{\infty }$ and $1^{\infty }$. We fully characterize, in terms of the Peierls barrier between the two ground states, the zero-temperature phase diagram of such potentials, that is, the regions of convergence or divergence of the Gibbs measures as the temperature goes to zero.
2005 ◽
Vol 157
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pp. 77-81
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Keyword(s):
Keyword(s):
Keyword(s):
2013 ◽
Vol 25
(44)
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pp. 445011
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Revisiting the zero-temperature phase diagram of stoichiometric SrCoO3 with first-principles methods
2016 ◽
Vol 18
(44)
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pp. 30686-30695
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