Effective masses in a strongly anisotropic fermi liquid

Area of Science:

• Condensed Matter Physics
• Quantum Materials
• Solid State Physics

Background:

• Recent experiments observed quantum oscillations in underdoped cuprates.
• Understanding effective masses in these materials is crucial.

Purpose of the Study:

• Investigate cyclotron and infrared Hall effective masses in anisotropic Fermi liquids.
• Explain the large experimental cyclotron mass and its relation to the Hall effective mass.

Main Methods:

• Utilized a phenomenological model of an anisotropic Fermi liquid.
• Analyzed the angle-dependent quasiparticle residue (Z-factor).

Main Results:

• Cyclotron mass is enhanced by a factor of 1/Z_{q}.
• Effective Hall mass is proportional to Z_{q}/Z_{q};{2} (averaged over Fermi surface).
• A small Z-factor (e.g., in Fermi arcs) sharply enhances cyclotron mass while Hall mass may remain small.

Conclusions:

• The model successfully explains the experimentally observed large cyclotron mass in underdoped cuprates.
• The angle-dependent quasiparticle residue (Z-factor) plays a key role in differentiating cyclotron and Hall effective masses.
• This framework provides insights into the complex electronic behavior of anisotropic Fermi liquids.