Anomalous multifractality in quantum chains with strongly correlated
disorder
- URL: http://arxiv.org/abs/2112.09856v2
- Date: Sun, 16 Jan 2022 08:19:50 GMT
- Title: Anomalous multifractality in quantum chains with strongly correlated
disorder
- Authors: Alexander Duthie, Sthitadhi Roy, David E. Logan
- Abstract summary: We show that a robust and unusual multifractal regime can emerge in a one-dimensional quantum chain with maximally correlated disorder.
This regime is preceded by a mixed and an extended regime at weaker disorder strengths, with the former hosting both extended and multifractal eigenstates.
- Score: 68.8204255655161
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We demonstrate numerically that a robust and unusual multifractal regime can
emerge in a one-dimensional quantum chain with maximally correlated disorder,
above a threshold disorder strength. This regime is preceded by a mixed and an
extended regime at weaker disorder strengths, with the former hosting both
extended and multifractal eigenstates. The multifractal states we find are
markedly different from conventional multifractal states in their structure, as
they reside approximately uniformly over a continuous segment of the chain, and
the lengths of these segments scale non-trivially with system size. This
anomalous nature also leaves imprints on dynamics. An initially localised
wavepacket shows ballistic transport, in contrast to the slow, generally
sub-diffusive, transport commonly associated with multifractality. However, the
timescale over which this ballistic transport persists again scales
non-trivially with the system size.
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