Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice
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Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice. / Bols, Alex; Werner, Albert H.
I: Annales Henri Poincare, Bind 23, 16.08.2021, s. 549-554.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice
AU - Bols, Alex
AU - Werner, Albert H.
PY - 2021/8/16
Y1 - 2021/8/16
N2 - The presence of chiral modes on the edges of quantum Hall samples is essential to our understanding of the quantum Hall effect. In particular, these edge modes should support ballistic transport and therefore, in a single-particle picture, be supported in the absolutely continuous spectrum of the single-particle Hamiltonian. We show in this note that if a free fermion system on the two-dimensional lattice is gapped in the bulk and has a non-vanishing Hall conductance, then the same system put on a half-space geometry supports edge modes whose spectrum fills the entire bulk gap and is absolutely continuous.
AB - The presence of chiral modes on the edges of quantum Hall samples is essential to our understanding of the quantum Hall effect. In particular, these edge modes should support ballistic transport and therefore, in a single-particle picture, be supported in the absolutely continuous spectrum of the single-particle Hamiltonian. We show in this note that if a free fermion system on the two-dimensional lattice is gapped in the bulk and has a non-vanishing Hall conductance, then the same system put on a half-space geometry supports edge modes whose spectrum fills the entire bulk gap and is absolutely continuous.
KW - STATES
KW - BULK
KW - CONDUCTANCE
KW - EQUALITY
U2 - 10.1007/s00023-021-01097-2
DO - 10.1007/s00023-021-01097-2
M3 - Journal article
VL - 23
SP - 549
EP - 554
JO - Annales Henri Poincare
JF - Annales Henri Poincare
SN - 1424-0637
ER -
ID: 276646554