Fermionic fields

Fermionic fields

The Basic Formalism of Field Theory

Published in A.N. Vasiliev, Patricia A. Millard, Functional Methods in Quantum Field Theory and Statistical Physics, 2019

A.N. Vasiliev, Patricia A. Millard

This interaction involves a complex field ψ, ψ+, which can be either a bosonic or a fermionic field, and a real bosonic field φ. The interaction is written in cubic form () iSv(ψ+,ψ,φ)=∭dxdx′dyψ+(x)Γ(x,x′,y)ψ(x′)φ(y),

Quantum Berezinskii–Kosterltz–Thouless transition for topological insulator

View Article

Journal Information

Published in Phase Transitions, 2020

Ranjith Kumar R, Rahul S, Surya Narayan Sahoo, Sujit Sarkar

We consider the interacting helical liquid system at the one-dimensional edge of a topological insulator as our model system [17,28,43–45]. These edge states are protected by the symmetries [33,46]. Topological insulator is two-dimensional system but the physics of helical liquid at the edge of topological insulator is one-dimensional. In this edge states of helical liquid, spin and momentum are connected as the right movers are associated with the spin up and left movers are with spin down and vice versa. One can write the total fermionic field of the system as,where and are the field operators corresponding to right moving (spin up) and left moving (spin down) electron at the both upper and lower edges of the topological insulators.

Conductivity of disordered 2d binodal Dirac electron gas: effect of internode scattering

View Article

Journal Information

Published in Philosophical Magazine, 2018

Andreas Sinner, Klaus Ziegler

Then we can use the Green’s function G for the fermionic field and for the bosonic field (or vice versa) and calculate the average product within this functional-integral representation. In our specific case, we have the determinant identity (cf. Appendix 2)

Explore chapters and articles related to this topic

The Basic Formalism of Field Theory

Quantum Berezinskii–Kosterltz–Thouless transition for topological insulator

Conductivity of disordered 2d binodal Dirac electron gas: effect of internode scattering