Details
| Original language | English |
|---|---|
| Article number | 110602 |
| Journal | Physical Review Letters |
| Volume | 120 |
| Issue number | 11 |
| Publication status | Published - 16 Mar 2018 |
Abstract
The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, 1/ra. For randomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization properties. We show that in one-dimensional systems almost all eigenstates (except for a few states close to the ground state) are power-law localized for any value of a>0. Moreover, we show that our model is an example of a new universality class of models with power-law hopping, characterized by a duality between systems with long-range hops (a<1) and short-range hops (a>1), in which the wave function amplitude falls off algebraically with the same power γ from the localization center.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review Letters, Vol. 120, No. 11, 110602, 16.03.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Duality in Power-Law Localization in Disordered One-Dimensional Systems
AU - Deng, X.
AU - Kravtsov, V. E.
AU - Shlyapnikov, G. V.
AU - Santos, L.
N1 - Funding information: We acknowledge fruitful discussions with B. L. Altshuler, I. Khaymovich, and E. Yuzbashyan. X. D. and L. S. thank the support of the DFG (SFB 1227 DQ-mat and FOR2247). G. V. S. acknowledges funding from the European Research Council under European Community’s Seventh Framework Programme (FP7/2007-2013 Grant Agreement No. 341197).
PY - 2018/3/16
Y1 - 2018/3/16
N2 - The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, 1/ra. For randomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization properties. We show that in one-dimensional systems almost all eigenstates (except for a few states close to the ground state) are power-law localized for any value of a>0. Moreover, we show that our model is an example of a new universality class of models with power-law hopping, characterized by a duality between systems with long-range hops (a<1) and short-range hops (a>1), in which the wave function amplitude falls off algebraically with the same power γ from the localization center.
AB - The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, 1/ra. For randomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization properties. We show that in one-dimensional systems almost all eigenstates (except for a few states close to the ground state) are power-law localized for any value of a>0. Moreover, we show that our model is an example of a new universality class of models with power-law hopping, characterized by a duality between systems with long-range hops (a<1) and short-range hops (a>1), in which the wave function amplitude falls off algebraically with the same power γ from the localization center.
UR - http://www.scopus.com/inward/record.url?scp=85044269048&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1706.04088
DO - 10.48550/arXiv.1706.04088
M3 - Article
C2 - 29601742
AN - SCOPUS:85044269048
VL - 120
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 11
M1 - 110602
ER -