Theory ofp-wave pairing in a two-dimensional Fermi gas

Abstract

The specific heat and susceptibility data for 3 He on Grafoil are analyzed in the framework of the Landau Fermi liquid theory. The dominant interaction between 3 He quasiparticles is found to be in the p-wave channel for most experimentally accessible areal densities of 3 He. This interaction is attractive and gives rise to the p-wave transition temperature which for moderate areal densities is estimated to be on the scale of several millikelvin. The relevance of these results to the anomaly in the specific heat observed at T k = 3.2 mK is discussed.Typeset Using REVTEX 1

High-Temperature Magnetic Correlations in the 2DS=1/2Antiferromagnet Copper Formate Tetradeuterate

“…At higher temperatures, the QNLsM exhibits a crossover to the so-called quantum critical (QC) region, where the proximity to the QC point g g c dominates the behavior [6]. For the square lattice S 1͞2 system the crossover is predicted to be around T ϳ J͞2.…”

“…For low temperatures CHN found that the only effect of the quantum fluctuations is to renormalize the coupling constants. In this renormalized classical region the correlation length j has been calculated to 3-loop order by Hasenfratz and Niedermeyer [4] with the result thatThe structure factor has an almost Lorentzian line shape with an amplitude given by [5] S 0 13.50 3 N 2 0 j 2 T 2 ͑2pr S ͒ 2 .(2)At higher temperatures, the QNLsM exhibits a crossover to the so-called quantum critical (QC) region, where the proximity to the QC point g g c dominates the behavior [6]. For the square lattice S 1͞2 system the crossover is predicted to be around T ϳ J͞2.…”

Realizing quantum materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity

“…In this way F a 0 can be determined with precision. The relative density dependence of F a 0 and F s 1 found experimentally [60], can be compared with the predictions of microscopic theory [47], and we find that both s-wave and p-wave scattering are essential to explain results, such that back-scattering dominates.…”

“…the system can be tuned through a Feshbach resonance, absent for 2D interactions). Thus 3 He provides an interesting model system to explore interactions in 2D, of significant interest theoretically [44][45][46][47][48][49]. This is important in the wider context of: two dimensional/interface superconductivity in metals [50], incuding FeSe/STO [51], Li/graphene [52,53]; cold atoms, experiments on multiple quasi-2D layers [54,55].…”

Atomically Layered Helium Films at Ultralow Temperatures: Model Systems for Realizing Quantum Materials

“…The strictly 2D limit corresponds to k −1 F ∼ D ≪ 0 , where 0 = h F ∕2 k B T c is the zero temperature coherence length and D is the film thickness. The 2D superfluidity of a 3 He monolayer has been discussed theoretically in [117][118][119][120][121][122]. In the case of p-wave pairing, this will be sensitive to non-magnetic disorder and requires high-quality substrates.…”