Hierarchical Mean-Field Theories in Quantum Statistical Mechanics

Details Hierarchical Mean-Field Theories in Quantum Statistical Mechanics Hierarchical Mean-Field Theories in Quantum Statistical Mechanics

2002-07-02

arxiv.org/abs/cond-mat/0207077v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 psfigures. submitted Phys. Rev. B

Scientific paper

10.1103/PhysRevB.67.134301

We present a theoretical framework and a calculational scheme to study the coexistence and competition of thermodynamic phases in quantum statistical mechanics. The crux of the method is the realization that the microscopic Hamiltonian, modeling the system, can always be written in a hierarchical operator language that unveils all symmetry generators of the problem and, thus, possible thermodynamic phases. In general one cannot compute the thermodynamic or zero-temperature properties exactly and an approximate scheme named ``hierarchical mean-field approach'' is introduced. This approach treats all possible competing orders on an equal footing. We illustrate the methodology by determining the phase diagram and quantum critical point of a bosonic lattice model which displays coexistence and competition between antiferromagnetism and superfluidity.

Affiliated with

Also associated with

No associations

Rating

Hierarchical Mean-Field Theories in Quantum Statistical Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hierarchical Mean-Field Theories in Quantum Statistical Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchical Mean-Field Theories in Quantum Statistical Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-632481