Quantum Phase Transitions

@inproceedings{Belitz1998QuantumPT,
  title={Quantum Phase Transitions},
  author={D. Belitz and T. R. Kirkpatrick},
  year={1998}
}
These are notes for lectures delivered at the NATO ASI on Dynamics in Leiden, The Netherlands, in July 1998. The main concepts relating to quantum phase transitions are explained, using the paramagnet-to-ferromagnet transition of itinerant electrons as the primary example. Some aspects of metal-insulator transitions are also briefly discussed. The exposition is strictly pedagogical in nature, with no ambitions with respect to completeness or going into technical details. The goal of the… 
Density-matrix renormalization-group analysis of the spin- 1 2 XXZ chain in an XY symmetric random magnetic field
The spin-$\frac{1}{2} \mathrm{XXZ}$ chain in a random magnetic field pointing in the Z direction is numerically studied using the density-matrix renormalization-group method. The phase diagram as a

References

SHOWING 1-10 OF 51 REFERENCES
Quantum phase transitions in electronic systems
Zero-temperature or quantum phase transitions in itinerant electronic systems both with and without quenched disordered are discussed. Phase transitions considered include, the ferromagnetic
Continuous quantum phase transitions
A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particularly interesting
The Anderson-Mott transition
The interacting disordered electron problem is reviewed with emphasis on the quantum phase transitions that occur in a model system and on the field-theoretic methods used to describe them. An
Quantum phase transitions and conserved charges
The constraints on the scaling properties of conserved charge densities in the vicinity of a zero temperature (T), second-order quantum phase transition are studied. We introduce a generalized Wilson
Introduction to Phase Transitions and Critical Phenomena
This is a paperback edition of a distinguished book, originally published by Clarendon Press in 1971. It was then the first text on critical phenomena, a field that has enjoyed great activity for the
The Theory of Phase Transitions
THE only phase transitions which up to the present time have been thoroughly investigated are transitions between the liquid and gaseous states. As regards transitions between liquids and crystals or
Quantum critical behavior of disordered itinerant ferromagnets.
TLDR
The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered, leading to unusual scaling behavior at the quantum critical point, which is determined exactly.
Theory of Dynamic Critical Phenomena
An introductory review of the central ideas in the modern theory of dynamic critical phenomena is followed by a more detailed account of recent developments in the field. The concepts of the
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
Metal-insulator transition in a doped semiconductor
Millikelvin measurements of the conductivity as a function of donor density and uniaxial stress in bulk samples of phosphorus-doped silicon establish that the transition from metal to insulator is
...
...