
Condensed Matter Theory Research
![]() |
| Ferroelectric instability: isosurfaces in the KNbO3 Brillouin zone of a dynamical matrix element, D(q), responsible for the q = 0 ferroelectric instability. The cusp results from the stiffness of the longitudinal vibrational modes (only transverse modes are unstable). [R. Yu and H. Krakauer, Phys. Rev. Lett. 74, 4067 (1995)] |
Computational materials physics group
| Faculty |
|
||||
| Research Associates |
|
||||
| Graduate Students |
|
Research
At the most fundamental level, first-principles quantum mechanical methods are remarkably successful in describing the structure and electronic and vibrational excitations that determine the properties of materials. Most calculations of electronic properties are done using density functional theory (DFT) with the local-density approximaion (LDA), a very successful method for approximately reducing the full many-electron problem to an effective one-particle Schrodinger's equation. The DFT approximations break down in materials with strong electron-electron interactions, such as the high-temperature superconductors. Quantum Monte Carlo (QMC) methods must be used to study these systems. QMC methods allow essentially exact calculations of ground-state and finite-temperature equilibrium properties of interacting many electron systems. Recent research topics include:
- Development of computational methods and high-performance computing with applications to tackle significant physical problems
- Auxilliary-field QMC method for real materials (reprint)
- Ferroelectrics and piezoelectric materials. We are participants in a multi-institutional effort to develop better piezoelectrics at the Center for Piezoelectrics by Design (CPD)
- Superfluid-insulator phase transitions in dirty boson
- Quantum spin systems
- Critical behavior of equilibrium crystal shapes
- Properties of liquid helium droplets
- High-temperature superconductivity
| ©2003 The College of William and Mary
