# Exactly Solvable Model of a Superconducting to Rotational Phase Transition

@article{Rowe1998ExactlySM, title={Exactly Solvable Model of a Superconducting to Rotational Phase Transition}, author={David J. Rowe and Chairul Bahri and Wasantha Wijesundera}, journal={Physical Review Letters}, year={1998}, volume={80}, pages={4394-4397} }

We consider a many-fermion model which exhibits a transition from a superconducting to a rotational phase with variation of a parameter in its Hamiltonian. The model has analytical solutions in its two limits due to the presence of dynamical symmetries. However, the symmetries are basically incompatible with one another; no simple solution exists in intermediate situations. Exact (numerical) solutions are possible and enable one to study the behavior of competing but incompatible symmetries and…

## Figures from this paper

## 35 Citations

### Thermodynamic analogy for quantum phase transitions at zero temperature

- Physics
- 2005

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of…

### Partial and Quasi Dynamical Symmetries in Nuclei

- Physics
- 2014

One of the interesting aspects in the study of atomic nuclei is the strikingly regular behavior many display in spite of being complex quantum-mechanical systems, prompting the universal question of…

### Symmetry, quasisymmetry, and critical phenomena

- Physics
- 2007

This presentation is an analysis of the role of symmetry in second-order quantum phase transitions. It seeks to explain why transitions between phases of systems, associated with different…

### Supersymmetric Algebraic Model for Descriptions of Transitional Even-Even and Odd-A Nuclei near the Critical Point of the Vibrational to γ-Unstable Shapes

- PhysicsPhysics of Particles and Nuclei Letters
- 2021

Exactly solvable solution for the spherical to gamma-unstable transition in transitional nuclei is proposed by using the Bethe ansatz technique within an infinite-dimensional Lie algebra and dual…

### QUANTUM PHASE TRANSITIONS AND NUCLEAR STRUCTURE

- Physics
- 2009

We report on recent progress in the description of shape transitions in atomic nuclei. The main experimental signatures are mentioned along with basic theoretical models describing the critical…

## References

SHOWING 1-10 OF 56 REFERENCES

### Model of a superconducting phase transition.

- PhysicsPhysical review. C, Nuclear physics
- 1990

It is shown that a sharp phase transition occurs in the limit of large-dimensional representations and that, for finite representations, the smoothed-out phase transitions can be understood clearly in analytical terms.

### A Unified Theory Based on SO(5) Symmetry of Superconductivity and Antiferromagnetism

- PhysicsScience
- 1997

The complex phase diagram of high-critical temperature (Tc) superconductors can be deduced from an SO(5) symmetry principle that unifies antiferromagnetism and d-wave superconductivity, resulting in a quantum nonlinear σ model that describes the phase diagram and the effective low-energy dynamics of the system.

### Effect of Nuclear Rotation on the Pairing Correlation

- Physics
- 1960

The effect of nuclear rotation on the pairing force in the low excited states of deformed nuclei was investigated by using the generalized Hartree-Fock method (used in superconductivity theory) to…

### Theory of the resonant neutron scattering of high-Tc superconductors.

- PhysicsPhysical review letters
- 1995

A theoretical explanation of a remarkable experiment on polarized neutron scattering in terms of a new collective mode in the particle particle channel of the Hubbard model, which yields valuable information about the symmetry of the superconducting gap.

### Collective motion in the nuclear shell model II. The introduction of intrinsic wave-functions

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1958

The wave functions for a number of particles in a degenerate oscillator level, classified in part I according to irreducible representations of the group U3, are expressed as integrals of the…

### Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1958

To understand how collective motion can develop in the shell-model framework it is necessary to study configuration interaction. With this in mind, group-theoretical methods are used to investigate…