Zero-temperature directed polymer in random potential in4+1dimensions

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Jin Min Kim
Keyword(s):  
Random Potential ◽  
Directed Polymer ◽  
Zero Temperature

BRANCH ANNIHILATION RANDOM WALKS IN ENERGETIC DISORDERED STRUCTURE AND DIRECTED POLYMER

1996 ◽  
Vol 10 (22) ◽  
pp. 2757-2766
Author(s):  
Y.-M. CHOI ◽  
B. KAHNG ◽  
W.-H. KAHNG
Keyword(s):  
Random Walks ◽  
Universality Class ◽  
Threshold Value ◽  
Active State ◽  
Directed Polymer ◽  
Zero Temperature ◽  
Inactive State ◽  
Disordered Structure ◽  
Energy Disorder ◽  
Temporal Dimensions

The problem of the branch annihilation random walks (BAW) in energetic disordered structure is introduced and studied on the checkerboard lattice of one spatial and one temporal dimensions. The energy disorder we considered is the one used in the problem of directed polymer (DPO) at zero temperature including the external field F. The evolution rule of BAW is assigned to relate to the energy disorder. It is found that depending on the value of F, a variety of phases appear, and the crossover from the DPO state to the directed percolation (DPE) state occurs. When F > 0, the problem is reduced to the DPO problem at zero temperature. However, for F < 0, there exist three states, the inactive state for F c < F < 0, the active state for − 1 < F < F c , and the non-hopping state for F < -1, where F c is the threshold value from the inactive state to the active state. The phase transition at F c turns out to be in the DPE universality class. The robustness of the DPE universality is discussed by the Harris criterion.

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.

Zero-temperature directed polymers in a random potential

1991 ◽  
Vol 44 (4) ◽  
pp. 2345-2351 ◽  
Author(s):  
J. M. Kim ◽  
M. A. Moore ◽  
A. J. Bray
Keyword(s):  
Random Potential ◽  
Directed Polymers ◽  
Zero Temperature

scholarly journals Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

2018 ◽  
Vol 397 ◽  
pp. 1-64 ◽  
Author(s):  
Yan V. Fyodorov ◽  
Pierre Le Doussal ◽  
Alberto Rosso ◽  
Christophe Texier
Keyword(s):  
Random Potential ◽  
Directed Polymer ◽  
Number Of Equilibria

ON THE MEAN FIELD THEORY OF RANDOM HETEROPOLYMERS

1992 ◽  
Vol 03 (supp01) ◽  
pp. 195-200 ◽  
Author(s):  
SILVIO FRANZ ◽  
MARC MÉZARD ◽  
GIORGIO PARISI
Keyword(s):  
Field Theory ◽  
Numerical Simulations ◽  
Random Potential ◽  
Mean Field Theory ◽  
Mean Field ◽  
Directed Polymers ◽  
Directed Polymer ◽  
Replica Symmetry ◽  
The Mean

We discuss some of the problems appearing in the Mean Field Theory of Random Heteropolymers. We show how an hypothesis of replica symmetry maps this problem onto a directed polymer in a random potential, and explain how this hypothesis can be checked through numerical simulations on directed polymers. The approach of Shaknovitch and Gutin is also reviewed in light of these findings.

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