scholarly journals Renormalizability of a lattice chiral fermion in the overlap formulation

1998 ◽  
Vol 57 (3) ◽  
pp. 1433-1437 ◽  
Author(s):  
Atsushi Yamada
Keyword(s):  
Chiral Fermion

scholarly journals Comparison of Chiral Fermion Methods

2005 ◽  
Author(s):  
Robert Edwards ◽  
Balint Joo ◽  
Anthony D. Kennedy ◽  
Kostas Orginos ◽  
Urs Wenger
Keyword(s):  
Chiral Fermion

scholarly journals Tunable Berry curvature and transport crossover in topological Dirac semimetal KZnBi

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Junseong Song ◽  
Byung Cheol Park ◽  
Kyung Ik Sim ◽  
Joonho Bang ◽  
Sunghun Kim ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Hall Resistance ◽  
Rotational Axis ◽  
Material System ◽  
Chiral Fermion ◽  
Quantum Phases ◽  
Berry Curvature ◽  
Dirac Semimetal ◽  
Dirac Semimetals ◽  
Single Material

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.

Chiral fermion determinants

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

scholarly journals A construction of chiral fermion action

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

scholarly journals Chiral magnetic effect for chiral fermion system

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

scholarly journals CHIRAL FERMION OPERATORS ON THE LATTICE

2003 ◽  
Vol 18 (15) ◽  
pp. 2565-2590 ◽  
Author(s):  
WERNER KERLER
Keyword(s):  
Large Class ◽  
Chiral Symmetry ◽  
Gauge Theories ◽  
Unitary Operator ◽  
Chiral Fermion ◽  
Special Cases ◽  
Spectral Representations ◽  
Weaker Conditions ◽  
Massless Fermions ◽  
Weyl Fermions

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.

scholarly journals THE EFFECT OF DYNAMICAL GAUGE FIELD ON THE CHIRAL FERMION ON A BOUNDARY

1994 ◽  
Vol 09 (19) ◽  
pp. 1755-1765 ◽  
Author(s):  
HAJIME AOKI ◽  
SATOSHI ISO ◽  
JUN NISHIMURA ◽  
MASAKI OSHIKAWA
Keyword(s):  
Gauge Field ◽  
Extra Dimension ◽  
Gauge Coupling ◽  
Point Of View ◽  
Chiral Fermion ◽  
Fermion Propagator ◽  
Parameter Expansion ◽  
Chiral Property

We study the effect of dynamical gauge field on the Kaplan’s chiral fermion on a boundary in the strong gauge coupling limit in the extra dimension. To all orders of the hopping parameter expansion, we prove exact parity invariance of the fermion propagator on the boundary. This means that the chiral property of the boundary fermion, which seems to survive even in the presence of the gauge field from a perturbative point of view, is completely destroyed by the dynamics of the gauge field.

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