Artículo
Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
Fecha de publicación:
02/2023
Editorial:
American Physical Society
Revista:
Physical Review B
ISSN:
2469-9950
e-ISSN:
2469-9969
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We discuss different properties and the potential of several topological invariants based on position operators to identify phase transitions, and compare with more accurate methods, such as crossing of excited energy levels and jumps in Berry phases. The invariants have the form Imln(exp[i(2π/L)ςjxj(m↑nj↑+m↓nj↓)]), where L is the length of the system, xj the position of site j, and njσ the operator of the number of particles at site j with spin σ. We show that mσ should be integers, and in some cases of magnitude larger than 1, to lead to well-defined expectation values. For the interacting Rice-Mele model (which contains the interacting Su-Schrieffer-Heeger and the ionic Hubbard model as specific cases), we show that three different invariants give complementary information and are necessary and sufficient to construct the phase diagrams in the regions where the invariants are protected by inversion symmetry. We also discuss the consequences for pumping of charge and spin, and the effect of an Ising spin-spin interaction or a staggered magnetic field.
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Articulos (UE-INN - NODO BARILOCHE)
Articulos de UNIDAD EJECUTORA INSTITUTO DE NANOCIENCIA Y NANOTECNOLOGIA - NODO BARILOCHE
Articulos de UNIDAD EJECUTORA INSTITUTO DE NANOCIENCIA Y NANOTECNOLOGIA - NODO BARILOCHE
Citación
Aligia, Armando Ángel; Topological invariants based on generalized position operators and application to the interacting Rice-Mele model; American Physical Society; Physical Review B; 107; 7; 2-2023; 1-11
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