# Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level

@article{Potter2015ThermoelectricTS, title={Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level}, author={Andrew C. Potter and Maksym Serbyn and Ashvin Vishwanath}, journal={arXiv: Strongly Correlated Electrons}, year={2015} }

The half filled Landau level is expected to be approximately particle-hole symmetric, which requires an extension of the Halperin-Lee-Read (HLR) theory of the compressible state observed at this filling. Recent work indicates that, when particle-hole symmetry is preserved, the composite Fermions experience a quantized $\pi$-Berry phase upon winding around the composite Fermi-surface, analogous to Dirac fermions at the surface of a 3D topological insulator. In contrast, the effective low energy…

#### 39 Citations

Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level

- Physics
- 2016

It is well known that there is a particle-hole symmetry for spin-polarized electrons with two-body interactions in a partially filled Landau level, which becomes exact in the limit where the…

Dirac Fermion Hierarchy of Composite Fermi Liquids.

- Physics, MedicinePhysical review letters
- 2019

The Berry curvature of CFL model wave functions at a filling fraction of one-quarter is investigated, and it is observed that it is uniformly distributed over the Fermi sea except at the center where an additional π phase was found.

Composite fermion Hall conductivity and the half-filled Landau level

- PhysicsPhysical Review B
- 2019

We consider the Hall conductivity of composite fermions in the presence of quenched disorder using the non-relativistic theory of Halperin, Lee and Read (HLR). Consistent with the recent analysis of…

Topological phase transition underpinning particle-hole symmetry in the Halperin-Lee-Read theory

- PhysicsPhysical Review B
- 2018

Long wavelength descriptions of a half-filled lowest Landau level ($\nu = 1/2$) must be consistent with the experimental observation of particle-hole (PH) symmetry. The traditional description of the…

Particle-Hole Symmetry and the Fractional Quantum Hall Effect in the Lowest Landau Level.

- Physics, MedicinePhysical review letters
- 2020

The results demonstrate that the FQHE states in the lowest Landau level are manifestly particle-hole symmetric.

Realizing topological surface states in a lower-dimensional flat band

- Physics
- 2017

The anomalous surface states of symmetry protected topological (SPT) phases are usually thought to be only possible in conjunction with the higher dimensional topological bulk. However, it has…

Quantum oscillations in cuprates and Cooper pairing in half filled Landau level

- Physics
- 2016

Author(s): Wang, Zhiqiang | Advisor(s): Chakravarty, Sudip | Abstract: The observation of quantum oscillations in hole under-doped cuprate is a big breakthrough to reveal its normal state nature. To…

Why is the HLR theory particle-hole symmetric?

- Physics
- 2018

Long wavelength descriptions of a half-filled lowest Landau level (ν = 1/2) must be consistent with the experimental observation of particle-hole (PH) symmetry. The traditional description of the ν =…

Quantum Hall hierarchy from coupled wires

- PhysicsPhysical Review B
- 2019

The coupled-wire construction provides a useful way to obtain microscopic Hamiltonians for various two-dimensional topological phases, among which fractional quantum Hall states are paradigmatic…

Paired states at 5/2: Particle-hole Pfaffian and particle-hole symmetry breaking

- PhysicsPhysical Review B
- 2018

We study Cooper pairing in the Dirac composite fermion (CF) system. The presence of the mass term in the Dirac CF description (which may simulate Landau level mixing), i.e., breaking of particle-hole…

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