Dirac's method for constraints - an application to quantum wires,the 0.7 conductance anomaly

Abstract

We investigate the Hubbard model in the limit $U=\infty$, which is equivalent to the statistical condition of exclusion of double occupancy. We solve this problem using Dirac's method for constraints. The constraints are solved within the Bosonization method. We find that the constraints modify the anomalous commutator. We apply this theory to quantum wires at finite temperatures where the Hubbard interaction is $U=\infty$. We find that the anomalous commutator induced by the constraints gives rise to the 0.7 anomalous conductance.

To be published in J.Phys:Condens.Matter, April 2011

References in corpus (5)

• The spin-incoherent Luttinger liquid
• Wigner crystal physics in quantum wires
• Ferromagnetic Spin Coupling as the Origin of 0.7 Anomaly in Quantum Point Contacts
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• A Scaling Approach for Interacting Quantum Wires -a Possible Explanation for the 0.7 Anomalous Conductance

Cited by in corpus (5)

• Geometric Potential Resulting from Dirac Quantization
• The centripetal force law and the equation of motion for a particle on a curved hypersurface
• Generalized Centripetal Force Law and Quantization of Motion Constrained on 2D Surfaces
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere
• Fractional Topological Insulators- A Bosonization Approach