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Fermi liquids near Pomeranchuk instabilities

Reidy, Kelly E

Abstract Details

2014, PHD, Kent State University, College of Arts and Sciences / Department of Physics.
We explore features of a Fermi liquid near generalized Pomeranchuk instabilities (PIs) starting from both ordered and disordered phases. These PIs can be viewed as quantum critical points in parameter space, and thus provide an alternate viewpoint on quantum criticality. We employ the tractable crossing symmetric equation method, which is a non-perturbative diagrammatic many-particle method used to calculate the Fermi liquid interaction functions and scattering amplitudes. We consider both repulsive and attractive underlying interactions of arbitrary strength. Starting from a ferromagnetically ordered ground state, we find that upon approach to an s-wave instability in one critical channel, the system simultaneously approaches instabilities in non-critical channels. We study origins and implications of this “quantum multicriticality". We also find that a nematic (non-s-wave) instability precedes and is driven by Pomeranchuk instabilities in both the s-wave spin and density channels. Finally, we discuss potential applications of our results to physical systems, such as ferromagnetic superconductors.
Khandker Quader (Advisor)
David Allender (Committee Member)
Almut Schroeder (Committee Member)
Chuck Gartland (Committee Member)
Qi-Huo Wei (Committee Member)
Kevin Bedell (Committee Member)
182 p.

Recommended Citations

Citations

  • Reidy, K. E. (2014). Fermi liquids near Pomeranchuk instabilities [Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1406286277

    APA Style (7th edition)

  • Reidy, Kelly. Fermi liquids near Pomeranchuk instabilities. 2014. Kent State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1406286277.

    MLA Style (8th edition)

  • Reidy, Kelly. "Fermi liquids near Pomeranchuk instabilities." Doctoral dissertation, Kent State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1406286277

    Chicago Manual of Style (17th edition)