Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
| dc.creator | Sun, Kai | |
| dc.creator | Fradkin, Eduardo | |
| dc.date | 2008-09-27 | |
| dc.date | 2008-12-19 | |
| dc.date.accessioned | 2026-07-07T12:22:34Z | |
| dc.date.available | 2026-07-07T12:22:34Z | |
| dc.description | We study the spontaneous non-magnetic time-reversal symmetry breaking in a two-dimensional Fermi liquid without breaking either the translation symmetry or the U(1) charge symmetry. Assuming that the low-energy physics is described by fermionic quasiparticle excitations, we identified an "emergent" local $U(1)^N$ symmetry in momentum space for an $N$-band model. For a large class of models, including all one-band and two-band models, we found that the time-reversal and chiral symmetry breaking can be described by the $U(1)^N$ gauge theory associated with this emergent local $U(1)^N$ symmetry. This conclusion enables the classification of the time-reversal symmetry-breaking states as types I and II, depending on the type of accompanying spatial symmetry breaking. The properties of each class are studied. In particular, we show that the states breaking both time-reversal and chiral symmetries are described by spontaneously generated Berry phases. We also show examples of the time-reversal symmetry-breaking phases in several different microscopically motivated models and calculate their associated Hall conductance within a mean-field approximation. The fermionic nematic phase with time-reversal symmetry breaking is also presented and the possible realizations in strongly correlated models such as the Emery model are discussed. | |
| dc.description | 18 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0809.4731 | |
| dc.identifier | http://arxiv.org/abs/0809.4731 | |
| dc.identifier | Phys. Rev. B 78, 245122 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.78.245122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213694 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids | |
| dc.type | text |