Tunneling density of states, correlation energy, and spin polarization in the fractional quantum Hall regime

Chaudhary, Gaurav; Efimkin, Dmitry K.; MacDonald, Allan H.

doi:10.1103/physrevb.100.085107

Title: Tunneling density of states, correlation energy, and spin polarization in the fractional quantum Hall regime

Journal Article · Fri Aug 02 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.100.085107· OSTI ID:1609393

^[1]; Efimkin, Dmitry K. ^[2]; MacDonald, Allan H. ^[1]

Univ. of Texas, Austin, TX (United States)
Univ. of Texas, Austin, TX (United States); Monash Univ., Melbourne, VIC (Australia)

We derive exact sum rules that relate the tunneling density-of-states of spinful electrons in the fractional quantum Hall regime to the spin-dependent many-body ground-state correlation energy. Because the tunneling process is spin-conserving, the two-dimensional (2D) to 2D tunneling current $$I$$ at a given bias voltage $$V$$ in a spin-polarized system is a sum of majority and minority spin contributions. The sum rules can be used to define spin-dependent gaps that we associate with peaks in 2D to 2D tunneling $I - V$ curves. We comment in the light of our sum rules on what recent tunneling experiments say about the spin-dependence of correlation energy contributions and propose new measurements that could provide more specific experimental estimates.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-02ER45958

OSTI ID:: 1609393

Alternate ID(s):: OSTI ID: 1546835

Journal Information:: Physical Review B, Vol. 100, Issue 8; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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