Robust Topological Degeneracy of Classical Theories

@article{Vaezi2015RobustTD,
  title={Robust Topological Degeneracy of Classical Theories},
  author={Mohammad-Sadegh Vaezi and Gerardo Guzman Ortiz and Zohar Nussinov},
  journal={Physical Review B},
  year={2015},
  volume={93},
  pages={205112}
}
We challenge the hypothesis that the ground states of a physical system whose degeneracy depends on topology must necessarily realize topological quantum order and display non-local entanglement. To this end, we introduce and study a classical rendition of the Toric Code model embedded on Riemann surfaces of different genus numbers. We find that the minimal ground state degeneracy (and those of all levels) depends on the topology of the embedding surface alone. As the ground states of this… 

Binomial Spin Glass.

A fundamental noncommutativity of the thermodynamic and continuous coupling limits that leads to the presence or absence of degeneracies depending on the precise way the limits are taken is uncovered.

References

SHOWING 1-10 OF 60 REFERENCES

Field Theories of Condensed Matter Physics

1. Introduction 2. The Hubbard model 3. The magnetic instability of the Fermi system 4. The renormalization group and scaling 5. One-dimensional quantum antiferromagnets 6. The Luttinger liquid 7.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES.

It is shown that the full set of hydromagnetic equations admit five more integrals, besides the energy integral, if dissipative processes are absent, which made it possible to formulate a variational principle for the force-free magnetic fields.

The interaction of TIGIT with PVR and PVRL2 inhibits human NK cell cytotoxicity

It is shown that TIGIT is expressed by all human NK cells, that it binds PVR and PVRL2 but not PVRL3 and that it inhibits NK cytotoxicity directly through its ITIM, providing an “alternative self” mechanism for MHC class I inhibition.

Kitaev

  • Ann. of Phys. 303, 2 (2003); arXiv:quantph/9707021
  • 1997

Quantum Field Theory of Many-Body Systems (Oxford

  • 2004

Field Theories in Condensed Matter Physics

Phys

  • Rev. B 25, 2185
  • 1982

Phys

  • Rev. E 60, 5068
  • 1999

Kitaev

  • Ann. of Phys. 321, 2 (2006); arXiv:condmat/0506438
  • 2005

Phys

  • Rev. A 83, 042330
  • 2011
...