Details
| Original language | English |
|---|---|
| Article number | 134208 |
| Journal | Physical Review B |
| Volume | 106 |
| Issue number | 13 |
| Publication status | Published - 26 Oct 2022 |
| Externally published | Yes |
Abstract
Pair localization in one-dimensional quasicrystals with nearest-neighbor hopping is independent of whether short-range interactions are repulsive or attractive. We numerically demonstrate that this symmetry is broken when the hopping follows a power law 1/rα. In particular, for repulsively bound states, we find that the critical quasiperiodicity that signals the transition to localization is always bounded by the standard Aubry-André critical point, whereas attractively bound dimers get localized at larger quasiperiodic modulations as the range of the hopping increases. Extensive numerical calculations establish the contrasting nature of the pair energy gap for repulsive and attractive interactions, as well as the behavior of the algebraic localization of the pairs as a function of quasiperiodicity, interaction strength, and power-law hops. The results here discussed are of direct relevance to the study of the quantum dynamics of systems with power-law couplings.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 106, No. 13, 134208, 26.10.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Localization of pairs in one-dimensional quasicrystals with power-law hopping
AU - Domínguez-Castro, G. A.
AU - Paredes, R.
PY - 2022/10/26
Y1 - 2022/10/26
N2 - Pair localization in one-dimensional quasicrystals with nearest-neighbor hopping is independent of whether short-range interactions are repulsive or attractive. We numerically demonstrate that this symmetry is broken when the hopping follows a power law 1/rα. In particular, for repulsively bound states, we find that the critical quasiperiodicity that signals the transition to localization is always bounded by the standard Aubry-André critical point, whereas attractively bound dimers get localized at larger quasiperiodic modulations as the range of the hopping increases. Extensive numerical calculations establish the contrasting nature of the pair energy gap for repulsive and attractive interactions, as well as the behavior of the algebraic localization of the pairs as a function of quasiperiodicity, interaction strength, and power-law hops. The results here discussed are of direct relevance to the study of the quantum dynamics of systems with power-law couplings.
AB - Pair localization in one-dimensional quasicrystals with nearest-neighbor hopping is independent of whether short-range interactions are repulsive or attractive. We numerically demonstrate that this symmetry is broken when the hopping follows a power law 1/rα. In particular, for repulsively bound states, we find that the critical quasiperiodicity that signals the transition to localization is always bounded by the standard Aubry-André critical point, whereas attractively bound dimers get localized at larger quasiperiodic modulations as the range of the hopping increases. Extensive numerical calculations establish the contrasting nature of the pair energy gap for repulsive and attractive interactions, as well as the behavior of the algebraic localization of the pairs as a function of quasiperiodicity, interaction strength, and power-law hops. The results here discussed are of direct relevance to the study of the quantum dynamics of systems with power-law couplings.
UR - http://www.scopus.com/inward/record.url?scp=85141459826&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.106.134208
DO - 10.1103/PhysRevB.106.134208
M3 - Article
AN - SCOPUS:85141459826
VL - 106
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 13
M1 - 134208
ER -