Cover Image

String theory methods for condensed matter physics /

Bibliographic Details
Main Author: Năstase, Horațiu, 1972- (Author)
Corporate Author: Cambridge University Press
Format: eBook
Language:English
Published: Cambridge : Cambridge University Press, 2017.
Subjects:
Condensed matter.
String models.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Part I: Condensed matter models and problems
  • Lightning review of statistical mechanics, thermodynamics, phases, and phase transitions
  • Magnetism in solids
  • Electrons in solids: Fermi gas vs. Fermi liquid
  • Bosonic quasi-particles: phonons and plasmons
  • Spin-charge separation in 1+1-dimensional solids: spinons and holons
  • The Ising model and the Heisenberg spin chain
  • Spin chains and integrable systems
  • The thermodynamic Bethe Ansatz
  • Conformal field theories and quantum phase transitions
  • Classical vs. quantum Hall effect
  • Superconductivity: Landau-Ginzburg, London, and BCS
  • Topology and statistics: Berry and Chern-Simons, anyons, and nonabelions
  • Insulators
  • The Kondo effect and the Kondo problem
  • Hydrodynamics and transport properties: from Boltzmann to Navier-Stokes
  • Part II: Elements of general relativity and string theory
  • The Einstein equation and the Schwarzchild solution
  • The Reissner-Nordstrom and Kerr-Newman solutions and thermodynamic properties of black holes
  • Extra dimensions and Kalusza-Klein
  • Electromagnetism and gravity in various dimensions, consistent truncations
  • Gravity plus matter: black holes and p-branes in various dimensions
  • Weak/strong coupling dualities in 1+1, 2+1, 3+1, and d+1 dimensions
  • The relativistic point particle and the relativistic string
  • Lightcone strings and quantization
  • D-branes and gauge fields
  • Electromagnetic fields on D-branes: supersymmetry and N=4 SYM, T-duality of closed strings
  • Dualities and M theory
  • The AdS/CFT correspondence : definition and motivation
  • Part III: Applying string theory to condensed matter problems
  • The pp wave correspondence: string Hamiltonian from N=4 SYM
  • Spin chains from N = 4 SYM
  • The Bethe Ansatz: Bethe strings from classical strings in AdS
  • Integrability and AdS/CFT
  • AdS/CFT phenomenonology: Lifshitz, Galilean, and Schrödinger symmetries and their gravity duals
  • Finite temperature and black holes
  • Hot plasma equilibrium thermodynamics: entropy, charge density, and chemical potential of strongly coupled theories
  • Spectral functions and transport properties
  • Dynamic and nonequilibrium properties of plasmas: electric transport, Langevin diffusion, and thermalization via black hole quasi-normal modes
  • The holographic superconductor
  • The fluid-gravity correspondence: conformal relativistic fluids from black hole horizons
  • Non-relativistic fluids: from Einstein to Navier-Stokes and back
  • Part IV: Advanced applications
  • Fermi gas and liquid in AdS/CFT
  • Quantum Hall effect from string theory
  • Quantum critical systems and AdS/CFT
  • Particle-vortex duality and ABJM vs. AdS₄ X CP³ duality
  • Topoology and non-standard statistics from AdS/CFT
  • DBI Scalar model for QGP/Black hole hydro- and thermo-dynamics
  • Holographic entanglement entropy in condensed matter
  • Holographic insulators
  • Holographic strange metals and the Kondo problem.