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Título:
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Two-dimensional density-matrix topological fermionic phases: topological Uhlmann numbers
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Autores:
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Viyuela García, Óscar ;
Rivas Vargas, Ángel ;
Martín-Delgado Alcántara, Miguel Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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American Physical Society, 2014-08-13
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Tipo = Artículo
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Resumen:
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We construct a topological invariant that classifies density matrices of symmetry-protected topological orders in two-dimensional fermionic systems. As it is constructed out of the previously introduced Uhlmann phase, we refer to it as the topological Uhlmann number n_(U). With it, we study thermal topological phases in several two-dimensional models of topological insulators and superconductors, computing phase diagrams where the temperature T is on an equal footing with the coupling constants in the Hamiltonian. Moreover, we find novel thermal-topological transitions between two nontrivial phases in a model with high Chern numbers. At small temperatures we recover the standard topological phases as the Uhlmann number approaches to the Chern number.
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En línea:
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https://eprints.ucm.es/id/eprint/47307/1/Mart%C3%ADn%20Delgado%20Alc%C3%A1ntara%20M%C3%81%2001%20LIBRE.pdf
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