scholarly journals Entanglement of a chiral fermion on the torus

2019 ◽  
Vol 2019 (9) ◽  
Author(s):  
David Blanco ◽  
Alan Garbarz ◽  
Guillem Pérez-Nadal
Keyword(s):  
2005 ◽  
Author(s):  
Robert Edwards ◽  
Balint Joo ◽  
Anthony D. Kennedy ◽  
Kostas Orginos ◽  
Urs Wenger
Keyword(s):  

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Junseong Song ◽  
Byung Cheol Park ◽  
Kyung Ik Sim ◽  
Joonho Bang ◽  
Sunghun Kim ◽  
...  

AbstractTopological Dirac semimetals have emerged as a platform to engineer Berry curvature with time-reversal symmetry breaking, which allows to access diverse quantum states in a single material system. It is of interest to realize such diversity in Dirac semimetals that provides insight on correlation between Berry curvature and quantum transport phenomena. Here, we report the transition between anomalous Hall and chiral fermion states in three-dimensional topological Dirac semimetal KZnBi, which is demonstrated by tuning the direction and flux of Berry curvature. Angle-dependent magneto-transport measurements show that both anomalous Hall resistance and positive magnetoresistance are maximized at 0° between net Berry curvature and rotational axis. We find that the unexpected crossover of anomalous Hall resistance and negative magnetoresistance suddenly occurs when the angle reaches to ~70°, indicating that Berry curvature strongly correlates with quantum transports of Dirac and chiral fermions. It would be interesting to tune Berry curvature within other quantum phases such as topological superconductivity.


1985 ◽  
Vol 165 (4-6) ◽  
pp. 410-416 ◽  
Author(s):  
R.D. Ball ◽  
H. Osborn
Keyword(s):  

1999 ◽  
Vol 467 (1-2) ◽  
pp. 112-115 ◽  
Author(s):  
Ting-Wai Chiu

2020 ◽  
Vol 44 (7) ◽  
pp. 074106 ◽  
Author(s):  
Ren-Da Dong ◽  
Ren-Hong Fang ◽  
De-Fu Hou ◽  
Duan She

2003 ◽  
Vol 18 (15) ◽  
pp. 2565-2590 ◽  
Author(s):  
WERNER KERLER

We only require generalized chiral symmetry and γ5-hermiticity, which leads to a large class of Dirac operators describing massless fermions on the lattice, and use this framework to give an overview of developments in this field. Spectral representations turn out to be a powerful tool for obtaining detailed properties of the operators and a general construction of them. A basic unitary operator is seen to play a central rôle in this context. We discuss a number of special cases of the operators and elaborate on various aspects of index relations. We also show that our weaker conditions lead still properly to Weyl fermions and to chiral gauge theories.


Sign in / Sign up

Export Citation Format

Share Document