Finite size effect arises in calculations made on small clusters for Hubbard model and its variants (our work). It decreases with increase on cluster size.Is there any other way to reduce finite size effect? How finite size effect depends on the parameters on the particular model parameters or the method of solution ?How can we calculate the amount of this effect in a particular calculation on a single cluster? Does it depend on temperature??
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One rather popular method is to average over the boundary conditions. An early paper using this approach is http://journals.aps.org/prb/abstract/10.1103/PhysRevB.44.466 . Other methods that have been developed are so-called quantum cluster methods, in which a finite cluster is solved exactly, and then embedded to get approximate results for the infinite system. A very good starting point is the review article by Maier et al, http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.77.1027.
One rather popular method is to average over the boundary conditions. An early paper using this approach is http://journals.aps.org/prb/abstract/10.1103/PhysRevB.44.466 . Other methods that have been developed are so-called quantum cluster methods, in which a finite cluster is solved exactly, and then embedded to get approximate results for the infinite system. A very good starting point is the review article by Maier et al, http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.77.1027.
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