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On ℤ2-indices for ground states of fermionic chains

Bourne, Chris ; Schulz-Baldes, Hermann

Reviews in mathematical physics, 2020-10, Vol.32 (9), p.2050028 [Periódico revisado por pares]

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Título:
On ℤ2-indices for ground states of fermionic chains
Autor: Bourne, Chris ; Schulz-Baldes, Hermann
Assuntos: Chains ; Ground state ; Parity
É parte de: Reviews in mathematical physics, 2020-10, Vol.32 (9), p.2050028
Descrição: For parity-conserving fermionic chains, we review how to associate ℤ 2 -indices to ground states in finite systems with quadratic and higher-order interactions as well as to quasifree ground states on the infinite CAR algebra. It is shown that the ℤ 2 -valued spectral flow provides a topological obstruction for two systems to have the same ℤ 2 -index. A rudimentary definition of a ℤ 2 -phase label for a class of parity-invariant and pure ground states of the one-dimensional infinite CAR algebra is also provided. Ground states with differing phase labels cannot be connected without a closing of the spectral gap of the infinite GNS Hamiltonian.
Editor: Singapore: World Scientific Publishing Company
Idioma: Inglês

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