Scattering theory of chiral Majorana fermion interferometry

Chern insulator with large Chern numbers. Chiral Majorana fermion liquid

In the framework ofHofstadter’s approachwe provide a detailed analysis of a realization of exotic topological states such as the Chern insulator (CI)with largeChern numbers. In a transverse homogeneousmagnetic field a one-particle spectrumof fermions transforms to an intricate spectrum with afine topological structure of the subbands. In aweakmagnetic fieldH for a rationalmagnetic flux, a topol...

Fermion-fermion scattering in quantum field theory with superconducting circuits.

We propose an analog-digital quantum simulation of fermion-fermion scattering mediated by a continuum of bosonic modes within a circuit quantum electrodynamics scenario. This quantum technology naturally provides strong coupling of superconducting qubits with a continuum of electromagnetic modes in an open transmission line. In this way, we propose qubits to efficiently simulate fermionic modes...

Scattering Theory for the Spin Fermion Model.

Effective chiral theory of nucleon-nucleon scattering

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in [1]. We evaluate the leading order terms of the isospin one scattering amplitude and elaborate in detail on the S0 phase shift. Our chiral description of the S0phase shi...

Quantum resistor-capacitor circuit with Majorana fermion modes in a chiral topological superconductor.

We investigate the mesoscopic resistor-capacitor circuit consisting of a quantum dot coupled to spatially separated Majorana fermion modes in a chiral topological superconductor. We find substantially enhanced relaxation resistance due to the nature of Majorana fermions, which are their own antiparticles and are composed of particle and hole excitations in the same abundance. Further, if only a...