期刊
PHYSICAL REVIEW B
卷 92, 期 16, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.92.165125
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资金
- National Science Foundation [DMR-14-04230]
- Caltech Institute of Quantum Information and Matter
- NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation
- Gordon and Betty Moore Foundation's EPiQS Initiative [GBMF4304]
- Templeton Foundation on Emergence and Entanglement
- Microsoft Station Q
- Kavli Institute for Theoretical Physics at the University of California Santa Barbara
- Direct For Mathematical & Physical Scien [1404230] Funding Source: National Science Foundation
- Division Of Materials Research [1404230] Funding Source: National Science Foundation
The half-filled Landau level is widely believed to be described by the Halperin-Lee-Read theory of the composite Fermi liquid (CFL). In this paper, we develop a theory for the particle-hole conjugate of the CFL, the anti-CFL, which we argue to be a distinct phase of matter as compared with the CFL. The anti-CFL provides a possible explanation of a recent experiment [D. Kamburov et al., Phys. Rev. Lett. 113, 196801 (2014)] demonstrating that the density of composite fermions in GaAs quantum wells corresponds to the electron density when the filling fraction. <1/2 and to the hole density when nu > 1/2. We introduce a local field theory for the CFL and anti-CFL in the presence of a boundary, which we use to study CFL-insulator-CFL junctions, and the interface between the anti-CFL and CFL. We show that the CFL-anti-CFL interface allows partially fused boundary phases in which composite electrons can directly tunnel into composite holes, providing a nontrivial example of transmutation between topologically distinct quasiparticles. We discuss several observable consequences of the anti-CFL, including a predicted resistivity jump at a first-order transition between uniform CFL and anti-CFL phases. We also present a theory of a continuous quantum phase transition between the CFL and anti-CFL. We conclude that particle-hole symmetry requires a modified view of the half-filled Landau level, in the presence of strong electron-electron interactions and weak disorder, as a critical point between the CFL and the anti-CFL.
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