PT-symmetry breaking in resonant tunneling heterostructures

TL;DR

This paper introduces a fermionic model of symmetric resonant tunneling heterostructures that exhibits PT-symmetry breaking, leading to resonance coalescence, with energies determined by eigenvalues of a pseudo-Hermitian PT-invariant Hamiltonian.

Contribution

It presents a novel fermionic model demonstrating PT-symmetry breaking in resonant tunneling heterostructures, linking resonance collapse to eigenvalues of a pseudo-Hermitian Hamiltonian.

Findings

Resonance coalescence indicates PT-symmetry breaking.

Resonant energies are eigenvalues of a pseudo-Hermitian PT-invariant Hamiltonian.

The model predicts spontaneous symmetry breaking in the system.

Abstract

We present fermionic model based on symmetric resonant tunneling heterostructure, which demonstrates spontaneous symmetry breaking in respect to combined operations of space inversion (P) and time reversal (T). PT-symmetry breaking manifests itself in resonance coalescence (collapse of resonances). We show that resonant energies are determined by eigenvalues of auxiliary pseudo-Hermitian PT-invariant Hamiltonian.