Coester K, Clever S, Herbst F, Capponi S, Schmidt KP (2015)
Publication Status: Published
Publication Type: Journal article
Publication year: 2015
Publisher: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Book Volume: 110
Journal Issue: 2
DOI: 10.1209/0295-5075/110/20006
We identify a fundamental challenge for any non-perturbative approach based on finite clusters resulting from the reduced symmetry on graphs, most importantly the breaking of translational symmetry, when targeting the properties of excited states. This can be traced back to the appearance of intruder states in the low-energy spectrum, which represent a major obstacle in quasi-degenerate perturbation theory. Here a generalized notion of cluster additivity is introduced, which is used to formulate an optimized scheme of graph-based continuous unitary transformations allowing to solve and to physically understand this major issue. Most remarkably, our improved scheme demands to go beyond the paradigm of using the exact eigenvectors on graphs. Copyright (C) EPLA, 2015
APA:
Coester, K., Clever, S., Herbst, F., Capponi, S., & Schmidt, K.P. (2015). A generalized perspective on non-perturbative linked-cluster expansions. EPL - Europhysics Letters, 110(2). https://doi.org/10.1209/0295-5075/110/20006
MLA:
Coester, K., et al. "A generalized perspective on non-perturbative linked-cluster expansions." EPL - Europhysics Letters 110.2 (2015).
BibTeX: Download