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Strongly interacting phases of metallic wires in strong magnetic field

Cornell Affiliated Author(s)

Author

Daniel Bulmash
Chao-Ming Jian
Xiao-Liang Qi

Abstract

We investigate theoretically an interacting metallic wire with a strong magnetic field directed along its length and show that it is a highly tunable one-dimensional system. By considering a suitable change in spatial geometry, we build an analogy between the problem in the zeroth Landau level with Landau level degeneracy N to one-dimensional fermions with an N-component pseudospin degree of freedom and SU(2)-symmetric interactions. This analogy allows us to establish the phase diagram as a function of the interactions for small N (and make conjectures for large N) using renormalization group and bosonization techniques. We find pseudospin-charge separation with a gapless U(1) charge sector and several possible strong-coupling phases in the pseudospin sector. For odd N, we find a fluctuating pseudospin-singlet charge density wave phase and a fluctuating pseudospin-singlet superconducting phase which are topologically distinct. For even N>2, similar phases exist, although they are not topologically distinct, and an additional novel pseudospin-gapless phase appears. We discuss experimental conditions for observing our proposals. © 2017 American Physical Society.

Date Published

Journal

Physical Review B

Volume

96

Issue

4

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026416523&doi=10.1103%2fPhysRevB.96.045134&partnerID=40&md5=8b55659cf7f8fde5f413dd428e14e1a9

DOI

10.1103/PhysRevB.96.045134

Group (Lab)

Chao-Ming Jian Group

Funding Source

DGE-114747
1151786
DMR-1151786
GBMF4304

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