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Evidence of a fractional quantum Hall nematic phase in a microscopic model
- Source :
- Phys.Rev.B, Phys.Rev.B, 2017, 96 (3), pp.035150. ⟨10.1103/PhysRevB.96.035150⟩, Phys.Rev.B, 2017, 96 (3), pp.035150. 〈10.1103/PhysRevB.96.035150〉, Physical Review B, Physical Review B, American Physical Society, 2017, 96 (3), pp.035150. ⟨10.1103/PhysRevB.96.035150⟩
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
-
Abstract
- At small momenta, the Girvin-MacDonald-Platzman (GMP) mode in the fractional quantum Hall (FQH) effect can be identified with gapped nematic fluctuations in the isotropic FQH liquid. This correspondence would be exact as the GMP mode softens upon approach to the putative point of a quantum phase transition to a FQH nematic. Motivated by these considerations as well as by suggestive evidence of an FQH nematic in tilted field experiments, we have sought evidence of such a nematic FQHE in a microscopic model of interacting electrons in the lowest Landau level at filling factor 1/3. Using a family of anisotropic Laughlin states as trial wave functions, we find a continuous quantum phase transition between the isotropic Laughlin liquid and the FQH nematic. Results of numerical exact diagonalization also suggest that rotational symmetry is spontaneously broken, and that the phase diagram of the model contains both a nematic and a stripe phase.<br />Comment: v2: 15 pages, 9 figures (includes new Appendix with additional numerical results); published version [Editors' Suggestion]
- Subjects :
- Quantum phase transition
Phase transition
FOS: Physical sciences
02 engineering and technology
Quantum Hall effect
01 natural sciences
Condensed Matter - Strongly Correlated Electrons
Liquid crystal
Quantum mechanics
0103 physical sciences
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Topological order
[ PHYS.PHYS.PHYS-GEN-PH ] Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]
010306 general physics
Physics
Condensed matter physics
Condensed Matter - Mesoscale and Nanoscale Physics
Strongly Correlated Electrons (cond-mat.str-el)
Landau quantization
021001 nanoscience & nanotechnology
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]
Condensed Matter::Soft Condensed Matter
State of matter
0210 nano-technology
Ground state
Subjects
Details
- Language :
- English
- ISSN :
- 24699950 and 24699969
- Database :
- OpenAIRE
- Journal :
- Phys.Rev.B, Phys.Rev.B, 2017, 96 (3), pp.035150. ⟨10.1103/PhysRevB.96.035150⟩, Phys.Rev.B, 2017, 96 (3), pp.035150. 〈10.1103/PhysRevB.96.035150〉, Physical Review B, Physical Review B, American Physical Society, 2017, 96 (3), pp.035150. ⟨10.1103/PhysRevB.96.035150⟩
- Accession number :
- edsair.doi.dedup.....c5a4cc29280b015a57e6f0c51f5fa810