scholarly journals Fluctuations of a one-dimensional directed polymer in a random potential with finite correlation radius

1998 ◽  
Vol 31 (11) ◽  
pp. 2591-2601 ◽  
Author(s):  
S E Korshunov ◽  
Vik S Dotsenko
Keyword(s):  
Random Potential ◽  
Correlation Radius ◽  
Directed Polymer ◽  
One Dimensional ◽  
Finite Correlation

Extended states in one-dimensional random potential

1997 ◽  
Vol 103 (1) ◽  
pp. 15-18 ◽  
Author(s):  
G.F Lorusso ◽  
V Capozzi ◽  
J.L Staehli
Keyword(s):  
Random Potential ◽  
One Dimensional ◽  
Extended States

Correlation radius for one-dimensional impenetrable bosons

1989 ◽  
Vol 141 (3-4) ◽  
pp. 121-124 ◽  
Author(s):  
A.R. Its ◽  
A.G. Izergin ◽  
V.E. Korepin
Keyword(s):  
Correlation Radius ◽  
One Dimensional

scholarly journals Theory of bulk photovoltaic effect in Anderson insulator

2021 ◽  
Vol 118 (10) ◽  
pp. e2023642118
Author(s):  
Hiroaki Ishizuka ◽  
Naoto Nagaosa
Keyword(s):  
High Efficiency ◽  
Random Potential ◽  
Photovoltaic Effect ◽  
Energy Scale ◽  
Variable Range Hopping ◽  
Zero Temperature ◽  
Bulk Materials ◽  
Conductive Material ◽  
One Dimensional ◽  
High Efficiency Solar Cells

The localization of wavefunction by disorder makes a conductive material an insulator with vanishing conductivity at zero temperature. A similar outcome is expected for the photocurrent in semiconductor p-n junctions because the photoexcited carriers cannot drift through the device. In contrast, we here show numerically that the bulk photovoltaic effect—the photovoltaic effect in noncentrosymmetric bulk materials—occurs in a noncentrosymmetric, disordered, one-dimensional insulator where all eigenstates are localized. We find this photocurrent remains, even when the energy scale of random potential is larger than the bandwidth. On the other hand, the photocurrent decays exponentially when the excitation is local, i.e., when only a part of the device is illuminated. The photocurrent also vanishes if the relaxation occurs only by contact with the electrodes. Our result implies that the ratio of the photovoltaic current and the direct current by the variable-range hopping increases with decreasing temperature. These results suggest a route to design high-efficiency solar cells and photodetectors.

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