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Title: Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice

Abstract

We study a mixture of ultracold spin-half fermionic and spin-one bosonic atoms in a shallow optical lattice where the bosons are coupled to the fermions via both density-density and spin-spin interactions. We consider the parameter regime where the bosons are in a superfluid ground state, integrate them out, and obtain an effective action for the fermions. We carry out a renormalization group analysis of this effective fermionic action at low temperatures, show that the presence of the spinor bosons may lead to a separation of Fermi surfaces of the spin-up and spin-down fermions, and investigate the parameter range where this phenomenon occurs. We also calculate the susceptibilities corresponding to the possible superfluid instabilities of the fermions and obtain their possible broken-symmetry ground states at low temperatures and weak interactions.

Authors:
;  [1];  [2]
  1. Theoretical Physics Department, Indian Association for the Cultivation of Science, Kolkata 700032 (India)
  2. Department of Physics and Astronomy, University of California, Riverside, California 92521 (United States)
Publication Date:
OSTI Identifier:
21596893
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 84; Journal Issue: 13; Other Information: DOI: 10.1103/PhysRevB.84.134508; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ATOMS; BOSONS; COMPUTERIZED SIMULATION; DENSITY; FERMI LEVEL; FERMIONS; GROUND STATES; INSTABILITY; INTERFERENCE; J-J COUPLING; LASER RADIATION; MIXTURES; RENORMALIZATION; SPIN; STARK EFFECT; SUPERFLUIDITY; SYMMETRY BREAKING; TEMPERATURE RANGE 0000-0013 K; WEAK INTERACTIONS; ANGULAR MOMENTUM; BASIC INTERACTIONS; COUPLING; DISPERSIONS; ELECTROMAGNETIC RADIATION; ENERGY LEVELS; INTERACTIONS; INTERMEDIATE COUPLING; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; RADIATIONS; SIMULATION; TEMPERATURE RANGE

Citation Formats

Modak, S., Sengupta, K., and Tsai, S.-W. Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice. United States: N. p., 2011. Web. doi:10.1103/PHYSREVB.84.134508.
Modak, S., Sengupta, K., & Tsai, S.-W. Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice. United States. doi:10.1103/PHYSREVB.84.134508.
Modak, S., Sengupta, K., and Tsai, S.-W. Sat . "Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice". United States. doi:10.1103/PHYSREVB.84.134508.
@article{osti_21596893,
title = {Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice},
author = {Modak, S. and Sengupta, K. and Tsai, S.-W.},
abstractNote = {We study a mixture of ultracold spin-half fermionic and spin-one bosonic atoms in a shallow optical lattice where the bosons are coupled to the fermions via both density-density and spin-spin interactions. We consider the parameter regime where the bosons are in a superfluid ground state, integrate them out, and obtain an effective action for the fermions. We carry out a renormalization group analysis of this effective fermionic action at low temperatures, show that the presence of the spinor bosons may lead to a separation of Fermi surfaces of the spin-up and spin-down fermions, and investigate the parameter range where this phenomenon occurs. We also calculate the susceptibilities corresponding to the possible superfluid instabilities of the fermions and obtain their possible broken-symmetry ground states at low temperatures and weak interactions.},
doi = {10.1103/PHYSREVB.84.134508},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 13,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}