Journal
PHYSICAL REVIEW LETTERS
Volume 123, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.096402
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Funding
- CONICET [11220150100299]
- Fulbright-Bunge and Born fellowship
- Simons Investigator Award
- NSF [PHY1720397]
- DOE Office of Basic Energy Sciences [DEAC0276SF00515]
- ANPCYT PICT Grant [20151224]
- UNCuyo
- CNEA
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Significant effort has been devoted to the study of non-Fermi-liquid (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order parameter fluctuations near a quantum critical point. The problem has been extensively studied in a large-N limit (N corresponding to the number of fermion flavors) where universal behavior can be obtained by solving a set of coupled saddle-point equations. However, a remarkable study by Lee revealed the breakdown of such approximations in two spatial dimensions. We show that an alternate approach, in which the fermions belong to the fundamental representation of a global SU(N) flavor symmetry, while the order parameter fields transform under the adjoint representation (a matrix large-N theory), yields a tractable large N limit. At low energies, the system consists of an overdamped boson with dynamical exponent z = 3 coupled to a non-Fermi-liquid with self-energy Sigma(omega) similar to omega(2/3), consistent with previous studies.
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