scholarly journals A one-dimensional many-body integrable model from Zn Belavin model with open boundary conditions

1998 ◽  
Vol 39 (9) ◽  
pp. 4746-4758 ◽  
Author(s):  
Heng Fan ◽  
Bo-Yu Hou ◽  
Guang-Liang Li ◽  
Kang-Jie Shi ◽  
Yan-Shen Wang
Keyword(s):  
Boundary Conditions ◽  
Integrable Model ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Many Body ◽  
One Dimensional

Role of open boundary conditions on the hysteretic behaviour of one-dimensional spin crossover nanoparticles

2014 ◽  
Vol 115 (19) ◽  
pp. 194309 ◽  
Author(s):  
Daniel Chiruta ◽  
Jorge Linares ◽  
Seiji Miyashita ◽  
Kamel Boukheddaden
Keyword(s):  
Boundary Conditions ◽  
Spin Crossover ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Hysteretic Behaviour ◽  
One Dimensional

scholarly journals BOUNDARY K MATRICES AND THE LAX PAIR FOR ONE-DIMENSIONAL OPEN XYZ SPIN-CHAIN

1998 ◽  
Vol 13 (24) ◽  
pp. 4213-4226 ◽  
Author(s):  
GUO-XING JU ◽  
SHI-KUN WANG ◽  
KE WU ◽  
CHI XIONG
Keyword(s):  
Boundary Conditions ◽  
Spin Chain ◽  
Lax Pair ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Reflection Equation ◽  
One Dimensional

We analyze the symmetries of the reflection equation for open XYZ model and find their solutions K± case by case. In the general open boundary conditions, the Lax pair for open one-dimensional XYZ spin-chain is given.

scholarly journals Impurity induced scale-free localization

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Linhu Li ◽  
Ching Hua Lee ◽  
Jiangbin Gong
Keyword(s):  
Boundary Conditions ◽  
Skin Effect ◽  
Reciprocal Lattice ◽  
Periodic Boundary Conditions ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Translational Invariance ◽  
Scale Free ◽  
Special Cases ◽  
Simulation Results

AbstractNon-Hermitian systems have been shown to have a dramatic sensitivity to their boundary conditions. In particular, the non-Hermitian skin effect induces collective boundary localization upon turning off boundary coupling, a feature very distinct from that under periodic boundary conditions. Here we develop a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with periodic/open boundary conditions and even their interpolations being special cases across a whole range of boundary impurity strengths. We uncover steady states with scale-free localization along or even against the direction of non-reciprocity in various impurity strength regimes. Also present are Bloch-like states that survive albeit broken translational invariance. We further explore the co-existence of non-Hermitian skin effect and scale-free localization, where even qualitative aspects of the system’s spectrum can be extremely sensitive to impurity strength. Specific circuit setups are also proposed for experimentally detecting the scale-free accumulation, with simulation results confirming our main findings.

Sign in / Sign up

Export Citation Format

Share Document