Gate-Voltage-Driven Quantum Phase Transition in Quantum Point Contacts

Explore a comprehensive lecture on gate-voltage-driven quantum phase transitions in quantum point contacts. Delve into the intricacies of quantum devices with narrow constrictions between electron reservoirs, focusing on the spontaneous formation of localized spins and their Kondo couplings. Examine the symmetry breaking in left-right Kondo coupling as the side-gate voltage decreases, and analyze the resulting quantum phase transition. Investigate the critical exponent of the order parameter and the non-analytic behavior of the zero-bias anomaly energy at the transition point. Cover essential topics including introduction to quantum point contacts, phase transitions, localized spins, gate voltage effects, bound states, theoretical frameworks, function techniques, basic operators, inverse metrics, electric reduction techniques, material elements, hybridization, equilibrium quantum physics, modern terminology, conductivity, and field theory.

Introduction
Title
Revival
Phase transition
Localized spin
Role of gate voltage
What is bound state
Localized state
Theory
Function technique
Basic operators
Inverse metrics
Electric reduction technique
Material element
Operators
Hybridization
Equilibrium Quantum Physics
Modern terminology
Conductivity
Field Theory