scholarly journals Classifying fractionalization: Symmetry classification of gappedZ2spin liquids in two dimensions

2013 ◽  
Vol 87 (10) ◽  
Author(s):  
Andrew M. Essin ◽  
Michael Hermele
2018 ◽  
Vol 19 (2) ◽  
pp. 321-343 ◽  
Author(s):  
Matteo Cavallaro ◽  
David Flacher ◽  
Massimo Angelo Zanetti

This article explores the differences in radical right parties' voting behaviour on economic matters at the European Parliament. As the literature highlights the heterogeneity of these parties in relation to their economic programmes, we test whether divergences survive the elections and translate into dissimilar voting patterns. Using voting records from the seventh term of the European Parliament, we show that radical right parties do not act as a consolidated party family. We then analyse the differences between radical right parties by the means of different statistical methods (NOMINATE, Ward's clustering criterion, and additive trees) and find that these are described along two dimensions: the degree of opposition to the European Union and the classical left–right economic cleavage. We provide a classification of these parties compromising four groups: pro-welfare conditional, pro-market conditional, and rejecting. Our results indicate that radical right parties do not act as a party family at the European Parliament. This remains true regardless of the salience of the policy issues in their agendas. The article also derives streams for future research on the heterogeneity of radical right parties.


2008 ◽  
Vol 53 (3) ◽  
pp. 359-364 ◽  
Author(s):  
A. L. Talis ◽  
O. A. Belyaev ◽  
A. A. Reu ◽  
R. A. Talis

The symmetry classification of the states of a pair of interacting ions in a crystal is obtained by a formal symmetry reduction not dependent upon any assumptions about the details of the interaction. The theory is given in versions valid with or without spin-orbit coupling, and for pairs in magnetic or non-magnetic hosts. Some discrepancies with previous work are discussed.


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