|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
18 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Phase Structure of the Topological Anderson Insulator | | Dongwei Xu
; Junjie Qi
; Jie Liu
; Vincent Sacksteder IV
; X. C. Xie
; Hua Jiang
; | | Date: |
20 Jan 2012 | | Abstract: | We study the disordered topological anderson insulator in a 2-D (square not
strip) geometry. We first report the phase diagram of finite systems and then
study the evolution of phase boundaries when the system size is increased. We
establish that conductance quantization can occur without a bulk band gap, and
that there are two phases with quantized conductance: TAI-I with a bulk band
gap, and TAI-II with localized bulk states. Effective medium theory (CPA, SCBA)
predicts well the boundaries and interior of the gapped TAI-I phase, but fails
to predict all boundaries save one of the ungapped TAI-II phase. Even in large
$800 imes 800$ samples there are direct transitions from bulk conduction into
both the gapped TAI-I and the ungapped TAI-II phases without an intervening
insulating phase. The TAI-II transition manifests scale invariance while the
remarkably stable TAI-I transition does not. There is no metallic phase at the
transition between quantized and insulating phases. Centered near this
transition there are very broad peaks in the eigenstate size and fractal
dimension $d_2$; in a large portion of the conductance plateau eigenstates grow
when the disorder strength is increased. The fractal dimension at the peak
maximum is $d_2 approx 1.5$. We report conductance distributions near several
phase transitions and compare them with critical conductance distributions for
well-known models. | | Source: | arXiv, 1201.4224 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER