Fermi Surfaces of Holographic Metals
Typ
Examensarbete för masterexamen
Master's Thesis
Master's Thesis
Program
Physics (MPPHS), MSc
Publicerad
2024
Författare
ISMAILOV, ELI
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
One of the most challenging endeavours in theoretical condensed matter physics
is solving models of strongly correlated metals. In these systems, the standard
techniques from Fermi liquid theory have limited applicability, necessitating new
descriptions. One particularly promising approach is known as holographic duality,
which conjectures a relation between the seemingly unapproachable physics of strongly
coupled quantum field theories and classical gravitational theories in one higher
dimension. While successful in many regards, the usual holographic approach
for metals fails to incorporate a satisfactory description of a Fermi surface, an
indisputably important ingredient for any theory describing a metal. Specifically, any
theory of a metal ought to have a Fermi surface that satisfies Luttinger’s theorem. In
this thesis, we introduce a holographic model that exhibits the necessary behaviour
of metal. Diverging from the typical holographic treatment where all scales are
described, we instead assume the dual theory to be an infrared effective field theory.
We explore the behaviour of the theory across various temperatures by numerically
solving the differential equations of motion for the gravity theory. Motivated by the
numerical predictions, we suggest a UV cutoff scale for the theory. We discuss some
potential limitations and plausible modifications of the model.
Beskrivning
Ämne/nyckelord
Holographic EFT, AdS/CFT correspondence, Fermi surface, ersatz Fermi liquid.