Work

Quantum Phase Transition in a Potential Well With Charged Walls

Year: 2026

Type: article

Abstract: We report a theoretical prediction of a quantum phase transition in a one‐dimensional quantum well with charged walls. The transition is driven by the well width, which acts as a quantum control parameter. For a single electron, we obtain exact analytical solutions via Jacobi polynomials, revealing quantized critical widths corresponding to zero‐energy states. The multielectron regime exhibits a rich phase diagram where Coulomb repulsion, exchange, and correlation interactions collectively determine the transition boundary. Statistical analysis reveals unconventional thermal behavior arising when the chemical potential coincides with the band edge. The predicted critical widths for semiconductor structures suggest experimental verifiability in GaAs, InAs, and CdTe quantum wells.

Source: physica status solidi (b)

DOI: 10.1002/pssb.202500621

Author: Sergo Rekhviashvili

Institution: Federal State Budget Scientific Institution Institute of Applied Mathematics and Automation

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: Ministry of Education and Science of the Russian Federation

Award: G2394204245