Many-Body Invariants for Chern and Chiral Hinge Insulators.
Phys Rev Lett
; 126(1): 016402, 2021 Jan 08.
Article
em En
| MEDLINE
| ID: mdl-33480785
ABSTRACT
We construct new many-body invariants for 2D Chern and 3D chiral hinge insulators characterizing quantized pumping of bulk dipole and quadrupole moments. The many-body invariants are written entirely in terms of many-body ground state wave functions on a torus geometry with twisted boundary conditions and a set of unitary operators. We present a number of supporting arguments for the invariants via topological field theory interpretation, adiabatic pumping argument, and direct mapping to free-fermion band indices. Therefore, the invariants explicitly encircle several different pillars of theoretical descriptions of topological phases. Furthermore, our many-body invariants are written in forms which can be directly employed in various numerics including the exact diagonalization and the density-matrix renormalization group simulations. We finally confirm our invariants by numerical computations including an infinite density-matrix renormalization group on quasi-one-dimensional systems.
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MEDLINE
Idioma:
En
Revista:
Phys Rev Lett
Ano de publicação:
2021
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Article