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Article overview
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Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems | O. Viyuela
; A. Rivas
; M.A. Martin-Delgado
; | Date: |
4 Sep 2013 | Abstract: | We introduce the Uhlmann geometric phase as a tool to characterize symmetry
protected topological phases in 1D fermion systems, such as topological
insulators and superconductors. Since this phase is formulated for general
mixed quantum states, it provides a way to to extend the notion of topological
properties to finite temperature situations. We illustrate these ideas with
some paradigmatic models and find that there exists a critical temperature
$T_c$ at which the Uhlmann phase goes discontinuously and abruptly to zero.
This stands a borderline between two different topological phases as a function
of the temperature. Furthermore, at small temperatures we recover the usual
notion of topological phase in fermion systems. | Source: | arXiv, 1309.1174 | Services: | Forum | Review | PDF | Favorites |
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