Momentum space topology and quantum phase transitions

Details Momentum space topology and quantum phase transitions Momentum space topology and quantum phase transitions

2005-05-04

arxiv.org/abs/cond-mat/0505089v10

ActaPhys.Slov.56:049-056,2006

Physics

Condensed Matter

Strongly Correlated Electrons

55 pages, 13 figures, extended and references added

Scientific paper

Many quantum condensed-matter systems, and probably the quantum vacuum of our Universe, are strongly correlated and strongly interacting fermionic systems, which cannot be treated perturbatively. However, physics which emerges in the low-energy does not depend on the complicated details of the system and is relatively simple. It is determined by the nodes in the fermionic spectrum, which are protected by topology in momentum space (in some cases, in combination with the vacuum symmetry). Here we illustrate this universality on some examples of quantum phase transitions, which can occur between the vacua with the same symmetry but with diferent topology in momentum space. The quantum phase transitions between the fully gapped states with different momentum-space topology are also discussed.

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