Symmetry-related transport on a fractional quantum Hall edge
Low-energy transport in quantum Hall states is carried through edge modes and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here, we show how the presence or breaking of symmetries of the edge Hamiltonian underlie transport properties, specifical...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-04-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023083 |
| _version_ | 1797211069311090688 |
|---|---|
| author | Jinhong Park Bernd Rosenow Yuval Gefen |
| author_facet | Jinhong Park Bernd Rosenow Yuval Gefen |
| author_sort | Jinhong Park |
| collection | DOAJ |
| description | Low-energy transport in quantum Hall states is carried through edge modes and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here, we show how the presence or breaking of symmetries of the edge Hamiltonian underlie transport properties, specifically dc conductance and noise. We demonstrate this through the analysis of hole-conjugate states of the quantum Hall effect, specifically the ν=2/3 case in a quantum point-contact geometry. We identify two symmetries, a continuous SU(3) symmetry and a discrete Z_{3} symmetry, whose presence or absence (different symmetry scenarios) dictate qualitatively different types of behavior of conductance and shot noise. While recent measurements are consistent with one of these symmetry scenarios, others can be realized in future experiments. |
| first_indexed | 2024-04-24T10:20:37Z |
| format | Article |
| id | doaj.art-8d5fa2289caa4c738367f54d1180179b |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:37Z |
| publishDate | 2021-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-8d5fa2289caa4c738367f54d1180179b2024-04-12T17:09:31ZengAmerican Physical SocietyPhysical Review Research2643-15642021-04-013202308310.1103/PhysRevResearch.3.023083Symmetry-related transport on a fractional quantum Hall edgeJinhong ParkBernd RosenowYuval GefenLow-energy transport in quantum Hall states is carried through edge modes and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here, we show how the presence or breaking of symmetries of the edge Hamiltonian underlie transport properties, specifically dc conductance and noise. We demonstrate this through the analysis of hole-conjugate states of the quantum Hall effect, specifically the ν=2/3 case in a quantum point-contact geometry. We identify two symmetries, a continuous SU(3) symmetry and a discrete Z_{3} symmetry, whose presence or absence (different symmetry scenarios) dictate qualitatively different types of behavior of conductance and shot noise. While recent measurements are consistent with one of these symmetry scenarios, others can be realized in future experiments.http://doi.org/10.1103/PhysRevResearch.3.023083 |
| spellingShingle | Jinhong Park Bernd Rosenow Yuval Gefen Symmetry-related transport on a fractional quantum Hall edge Physical Review Research |
| title | Symmetry-related transport on a fractional quantum Hall edge |
| title_full | Symmetry-related transport on a fractional quantum Hall edge |
| title_fullStr | Symmetry-related transport on a fractional quantum Hall edge |
| title_full_unstemmed | Symmetry-related transport on a fractional quantum Hall edge |
| title_short | Symmetry-related transport on a fractional quantum Hall edge |
| title_sort | symmetry related transport on a fractional quantum hall edge |
| url | http://doi.org/10.1103/PhysRevResearch.3.023083 |
| work_keys_str_mv | AT jinhongpark symmetryrelatedtransportonafractionalquantumhalledge AT berndrosenow symmetryrelatedtransportonafractionalquantumhalledge AT yuvalgefen symmetryrelatedtransportonafractionalquantumhalledge |