Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid
We discuss shape (Pomeranchuk) instabilities of the Fermi surface of a two-dimensional Fermi system using bosonization. We consider in detail the quantum critical behavior of the transition of a two-dimensional Fermi fluid to a nematic state which breaks spontaneously the rotational invariance of th...
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| Autores principales: | , , , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2006
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/125851 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.73.085101 |
| Aporte de: |
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I19-R120-10915-125851 |
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dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física Ciencias Exactas Fermi surface bosonization quantum phase transition |
| spellingShingle |
Física Ciencias Exactas Fermi surface bosonization quantum phase transition Lawler, Michael J. Barci, Daniel G. Fernández, Victoria Inés Fradkin, Eduardo Oxman, Luis E. Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid |
| topic_facet |
Física Ciencias Exactas Fermi surface bosonization quantum phase transition |
| description |
We discuss shape (Pomeranchuk) instabilities of the Fermi surface of a two-dimensional Fermi system using bosonization. We consider in detail the quantum critical behavior of the transition of a two-dimensional Fermi fluid to a nematic state which breaks spontaneously the rotational invariance of the Fermi liquid. We show that higher dimensional bosonization reproduces the quantum critical behavior expected from the Hertz-Millis analysis, and verify that this theory has dynamic critical exponent z=3. Going beyond this framework, we study the behavior of the fermion degrees of freedom directly, and show that at quantum criticality as well as in the quantum nematic phase (except along a set of measure zero of symmetry-dictated directions) the quasiparticles of the normal Fermi liquid are generally wiped out. Instead, they exhibit short-ranged spatial correlations that decay faster than any power law, with the law ∣∣x∣<sup>−1</sup> exp(−const ∣x∣<sup>1∕3</sup>)
and we verify explicitly the vanishing of the fermion residue utilizing this expression. In contrast, the fermion autocorrelation function has the behavior ∣∣t∣<sup>−1</sup> exp(−const ∣t∣<sup>−2∕3</sup>). In this regime we also find that, at low frequency, the single-particle fermion density of states behaves as N∗(ω)=N∗(0)+Bω<sup>2∕3</sup> ln ω+⋯, where N∗(0) is larger than the free Fermi value, N(0), and B is a constant. These results confirm the non-Fermi liquid nature of both the quantum critical theory and of the nematic phase. |
| format |
Articulo Articulo |
| author |
Lawler, Michael J. Barci, Daniel G. Fernández, Victoria Inés Fradkin, Eduardo Oxman, Luis E. |
| author_facet |
Lawler, Michael J. Barci, Daniel G. Fernández, Victoria Inés Fradkin, Eduardo Oxman, Luis E. |
| author_sort |
Lawler, Michael J. |
| title |
Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid |
| title_short |
Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid |
| title_full |
Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid |
| title_fullStr |
Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid |
| title_full_unstemmed |
Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid |
| title_sort |
nonperturbative behavior of the quantum phase transition to a nematic fermi fluid |
| publishDate |
2006 |
| url |
http://sedici.unlp.edu.ar/handle/10915/125851 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.73.085101 |
| work_keys_str_mv |
AT lawlermichaelj nonperturbativebehaviorofthequantumphasetransitiontoanematicfermifluid AT barcidanielg nonperturbativebehaviorofthequantumphasetransitiontoanematicfermifluid AT fernandezvictoriaines nonperturbativebehaviorofthequantumphasetransitiontoanematicfermifluid AT fradkineduardo nonperturbativebehaviorofthequantumphasetransitiontoanematicfermifluid AT oxmanluise nonperturbativebehaviorofthequantumphasetransitiontoanematicfermifluid |
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Repositorios |
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1764820452355604480 |