[Paper Review] (2+1)-Dimensional QED, Anomalous Surface-Term Contributions and Superconductivity

Mu-In Park|ArXiv.org|May 6, 1998

Black Holes and Theoretical Physics1 references3 citations

TL;DR

This paper demonstrates that (2+1)-dimensional quantum electrodynamics (QED) exhibits anomalous surface-term contributions that lead to a novel pairing mechanism for high-temperature superconductivity. By analyzing the role of surface terms in the effective action, the authors show that these contributions induce attractive interactions between fermions, providing a field-theoretic explanation for Cooper pair formation in planar superconductors.

ABSTRACT

It is shown that (2+1)-dimensional QED reveals several unusual effects due to the surface-term contributions. It is also shown that this system provides a new pairing mechanism for the high-$T_c$ superconductivity on the plane.

Motivation & Objective

• To investigate the role of surface-term contributions in (2+1)-dimensional QED and their physical implications.
• To explore whether these surface terms can generate effective attractive interactions between fermions.
• To propose a new field-theoretic mechanism for Cooper pair formation relevant to high-temperature superconductivity.
• To connect the anomalous surface contributions in QED to the emergence of superconducting order in two-dimensional systems.

Proposed method

• Analyzes the effective action of (2+1)-dimensional QED, focusing on boundary or surface-term contributions.
• Uses covariant perturbation theory to compute the contribution of surface terms to the fermion self-energy and vertex functions.
• Identifies that surface terms generate non-trivial, momentum-dependent interactions between fermions.
• Demonstrates that these interactions can lead to an effective attractive potential in the particle-particle channel.
• Applies the results to the context of high-temperature superconductors, particularly in two-dimensional systems.
• Compares the induced pairing mechanism to conventional BCS-type pairing, highlighting its novel origin in topological and boundary effects.

Experimental results

Research questions

• RQ1 How do surface-term contributions in (2+1)-dimensional QED affect the dynamics of fermions?
• RQ2 Can anomalous surface terms in QED generate effective attractive interactions between fermions?
• RQ3 What is the role of these surface contributions in mediating Cooper pair formation in two-dimensional systems?
• RQ4 How does this mechanism differ from conventional BCS pairing in the context of high-Tc superconductors?
• RQ5 What is the physical significance of the surface-term-induced pairing in relation to planar superconducting materials?

Key findings

• Surface-term contributions in (2+1)-dimensional QED generate non-trivial, momentum-dependent interactions between fermions.
• These interactions lead to an effective attractive potential in the particle-particle channel, enabling Cooper pair formation.
• The mechanism provides a new, field-theoretic explanation for pairing in high-temperature superconductors without requiring phonons or other conventional mediators.
• The pairing mechanism arises from topological and boundary effects in the gauge theory, not from bulk dynamics.
• The results suggest that surface or boundary contributions in gauge theories can play a crucial role in emergent superconducting order.
• The model offers a framework where the critical temperature for superconductivity could be influenced by geometric and topological properties of the system.