We study equilibrium liquid crystal configurations in three-dimensional domains, within the continuum Landau-De Gennes theory. We obtain explicit bounds for the equilibrium scalar order parameters in terms of the temperature and material-dependent constants. We explicitly quantify the temperature regimes where the Landau-De Gennes predictions match and the temperature regimes where the Landau-D...

We construct a phenomenological Landau theory for the two-dimensional helical Fermi liquid found on the surface of a three-dimensional time-reversal invariant topological insulator. In the presence of rotation symmetry, interactions between quasiparticles are described by ten independent Landau parameters per angular momentum channel, by contrast with the two (symmetric and antisymmetric) Landa...

• Introduction • Strong Magnetic Fields (a) The Landau problem (b) The lowest Landau level (c) Field theory • String Theory and D-Branes (a) Noncommutative geometry in string theory (b) D-branes (c) String theory in magnetic fields • Noncommutative Quantum Field Theory (a) Fundamental aspects (b) UV/IR mixing (c) Gauge interactions (d) Violations of special relativity • The Fractional Quantum H...

Part I Near-equilibrium critical dynamics 1 Introduction 3 1 Equilibrium critical phenomena 5 1.1 Mean-field theory 6 1.1.1 Van-der-Waals equation of state 6 1.1.2 Mean-field theory for the ferromagnetic Ising model 9 1.1.3 Ornstein–Zernicke correlation function 14 1.2 Landau–Ginzburg theory 17 1.2.1 Mean-field theory revisited: Landau expansion 17 1.2.

We study the hydrodynamics of superconductors within framework Schwinger-Keldysh Effective Field Theory. show that in vicinity superconducting phase transition most general leading-order EFT satisfying local Kubo-Martin-Schwinger condition is described by a version Time-Dependent Ginzburg-Landau (TDGL) equations augmented with stochastic terms. This TDGL applicable gapless regime independently ...