Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis
We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for the fermions. The fRG scheme we employ takes account of the...
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023216 |
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| author | Thomas P. Sheerin Chris A. Hooley |
| author_facet | Thomas P. Sheerin Chris A. Hooley |
| author_sort | Thomas P. Sheerin |
| collection | DOAJ |
| description | We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for the fermions. The fRG scheme we employ takes account of the gauge symmetry, which imposes relations (modified Ward-Takahashi identities) between the couplings which constrain the RG flow. The critical exponents and couplings we find for the resulting non-Fermi liquid are mostly insensitive to whether we enforce the gauge symmetry constraints, which signifies either that the constraints are superfluous or that the frequency-cutoff scheme is particularly robust. The exception is the gauge-boson mass term, which is RG-relevant about the fixed point without the constraints but is irrelevant when they are enforced. The latter is physically accurate, as a gauge symmetry cannot be spontaneously broken. In addition, we find z=2 and Σ(ω,k_{F})∼ω^{1/2} for the boson dynamical exponent and scaling of the fermion self-energy, respectively. These results differ considerably from those of past works on the model, though we argue for their plausibility. |
| format | Article |
| id | doaj-art-2c3fe8679ba14e0d8ee382ddbc5dc9b7 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
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| spelling | doaj-art-2c3fe8679ba14e0d8ee382ddbc5dc9b72025-08-20T01:57:51ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202321610.1103/PhysRevResearch.7.023216Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysisThomas P. SheerinChris A. HooleyWe study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for the fermions. The fRG scheme we employ takes account of the gauge symmetry, which imposes relations (modified Ward-Takahashi identities) between the couplings which constrain the RG flow. The critical exponents and couplings we find for the resulting non-Fermi liquid are mostly insensitive to whether we enforce the gauge symmetry constraints, which signifies either that the constraints are superfluous or that the frequency-cutoff scheme is particularly robust. The exception is the gauge-boson mass term, which is RG-relevant about the fixed point without the constraints but is irrelevant when they are enforced. The latter is physically accurate, as a gauge symmetry cannot be spontaneously broken. In addition, we find z=2 and Σ(ω,k_{F})∼ω^{1/2} for the boson dynamical exponent and scaling of the fermion self-energy, respectively. These results differ considerably from those of past works on the model, though we argue for their plausibility.http://doi.org/10.1103/PhysRevResearch.7.023216 |
| spellingShingle | Thomas P. Sheerin Chris A. Hooley Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis Physical Review Research |
| title | Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis |
| title_full | Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis |
| title_fullStr | Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis |
| title_full_unstemmed | Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis |
| title_short | Non-Fermi liquid induced by U(1) gauge-field interactions: A functional renormalization group analysis |
| title_sort | non fermi liquid induced by u 1 gauge field interactions a functional renormalization group analysis |
| url | http://doi.org/10.1103/PhysRevResearch.7.023216 |
| work_keys_str_mv | AT thomaspsheerin nonfermiliquidinducedbyu1gaugefieldinteractionsafunctionalrenormalizationgroupanalysis AT chrisahooley nonfermiliquidinducedbyu1gaugefieldinteractionsafunctionalrenormalizationgroupanalysis |