What question did this study set out to answer?

To formulate a dc electrical linear-response theory for multi-lead phase-coherent conductors in arbitrarily strong magnetic fields to describe mesoscopic transport and the quantum Hall effect.

October 15, 1989Physical review. B, Condensed matter

Electrical linear-response theory in an arbitrary magnetic field: A new Fermi-surface formation

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Authors

HBHarold U. BarangerDuke University ASA. Douglas StoneYale University

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Implication

Theoretical framework demonstrates Fermi-surface multi-lead conductance in arbitrary magnetic fields, providing a rigorous microscopic basis for the Landauer-Büttiker transport formula.

Key Points

To formulate a dc electrical linear-response theory for multi-lead phase-coherent conductors in arbitrarily strong magnetic fields to describe mesoscopic transport and the quantum Hall effect.
Formulated a linear-response approach expressing lead transport currents solely as functions of applied lead voltages, independent of internal electric fields.
Applied Green function techniques and quantum scattering theory to compute conductance coefficients at the zero-temperature limit ($T \to 0$).
Demonstrated that transport current conductance coefficients ($g_{mn}$) depend exclusively on wave functions and Green functions at the Fermi surface as temperature approaches zero.
Proved equivalence between microscopic Green-function conductance formulas and the Landauer-Büttiker multi-lead transmission formula ($g_{mn} = T_{mn}$).
Derived scattering matrix criteria that naturally produce the quantum Hall effect in multi-terminal conductors.

Cite This Study

Baranger et al. (1989) studied this question.

synapsesocial.com/papers/6a0959394db7968590512d8b https://doi.org/10.1103/physrevb.40.8169

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Implication

Theoretical framework demonstrates Fermi-surface multi-lead conductance in arbitrary magnetic fields, providing a rigorous microscopic basis for the Landauer-Büttiker transport formula.

Electrical linear-response theory in an arbitrary magnetic field: A new Fermi-surface formation

Discussion

Member takes

Implication

Key Points

Cite This Study

Electrical linear-response theory in an arbitrary magnetic field: A new Fermi-surface formation

Discussion

Member takes

Implication

Key Points

Cite This Study

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