scholarly journals Majorana zero modes, unconventional real-complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

2021 ◽  
Author(s):  
Shujie Cheng ◽  
Gao Xianlong
2018 ◽  
Vol 98 (16) ◽  
Author(s):  
Chun Chen ◽  
Wei Yan ◽  
C. S. Ting ◽  
Yan Chen ◽  
F. J. Burnell
Keyword(s):  

Author(s):  
Jean-Paul Pouget

AbstractQuasi-one dimensional (1D) conductors of the TTF-TCNQ family of charge transfer salts exhibit a Peierls transition which stabilizes a periodic lattice distortion (PLD), accompanied by a charge density wave (CDW) modulation, with an incommensurate 2


2020 ◽  
Vol 35 (03) ◽  
pp. 2040005 ◽  
Author(s):  
M. Bordag

We investigate Bose-Einstein condensation of a gas of non-interacting Bose particles moving in the background of a periodic lattice of delta functions. In the one-dimensional case, where one has no condensation in the free case, we showed that this property persist also in the presence of the lattice. In addition we formulated some conditions on the spectral functions which would allow for condensation.


2011 ◽  
Vol 84 (19) ◽  
Author(s):  
Lukasz Fidkowski ◽  
Roman M. Lutchyn ◽  
Chetan Nayak ◽  
Matthew P. A. Fisher

2017 ◽  
Vol 57 (6) ◽  
pp. 470 ◽  
Author(s):  
Marcel Wagner ◽  
Felix Dangel ◽  
Holger Cartarius ◽  
Jörg Main ◽  
Günter Wunner

We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by <em>PT</em>-symmetric potentials. In this framework we develop a general numerical gauge smoothing procedure to calculate complex Berry phases from the biorthogonal basis of the system's non-Hermitian Hamiltonian. Further, we apply this method to a one-dimensional <em>PT</em>-symmetric lattice system and verify our numerical results by an analytical calculation.


2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Yi Gao ◽  
Tao Zhou ◽  
Huaixiang Huang ◽  
Ran Huang
Keyword(s):  
P Wave ◽  

VLSI Design ◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-24 ◽  
Author(s):  
Daniel Llamocca ◽  
Marios Pattichis

We introduce a dynamically reconfigurable 2D filterbank that supports both real and complex-valued inputs, outputs, and filter coefficients. This general purpose filterbank allows for the efficient implementation of 2D filterbanks based on separable 2D FIR filters that support all possible combinations of input and output signals. The system relies on the use of dynamic reconfiguration of real/complex one-dimensional filters to minimize the required hardware resources. The system is demonstrated using an equiripple and a Gabor filterbank and the results using both real and complex-valued input images. We summarize the performance of the system in terms of the required processing times, energy, and accuracy.


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