Lie-Schwinger block-diagonalization and gapped quantum chains

T. Kennedy, H. Tasaki. Hidden symmetry breaking and the Haldane phase in S = 1 quantum spin chains Comm.. Math. Phys. 147, 431-484 (1992)

1992

Earlier work this paper cites.

N. Datta, R. Fernandez, J. Fröhlich. Low-Temperature Phase Diagrams of Quantum Lattice Systems. I. Stability for Quantum Perturbations of Classical Systems with Finitely Many Ground States J. Stat. Phys. 84, 455-534 (1996)

1996

Earlier work this paper cites.

N. Datta, R. Fernandez, J. Fröhlich, L. Rey-Bellet. Low-Temperature Phase Diagrams of Quantum Lattice Systems. II. Convergent Perturbation Expansions and Stability in Systems with Infinite Degeneracy Helvetica Physica Acta 69, 752–820 (1996)

1996

Earlier work this paper cites.

Kotechy, D. Ueltschi. Effective Interactions Due to Quantum Fluctuations. Comm. Math. Phys. 206, 289-3355 (1999)

1999

Earlier work this paper cites.

R. Fernandez, J. Fröhlich, D. Ueltschi. Mott Transitions in Lattice Boson Models. Comm. Math. Phys. 266, 777-795 (2006)

2006

Cited alongside, same era.

D.A. Yarotsky. Ground States in Relatively Bounded Quantum Perturbations of Classical Systems Comm. Math. Phys. 261, 799-819 (2006)

2006

Cited alongside, same era.

S. Bachmann , B. Nachtergaele. On gapped phases with a continuous symmetry and boundary operators J. Stat. Phys. 154(1-2): 91-112 (2014)

2014

Cited alongside, same era.

M. Greiter, V. Schnells, R. Thomale. The 1D Ising model and topological order in the Kitaev chain Ann. Phys. 351, 1026-1033 (2014)

2014

Cited alongside, same era.

W. De Roeck, M. Salmhofer. Persistence of Exponential Decay and Spectral Gaps for Interacting Fermions Comm. Math. Phys. https://doi.org/10.1007/s00220-018-3211-z

Cited in the paper.

H. Katsura, D. Schuricht, M. Takahashi . Exact ground states and topological order in interacting Kitaev/Majorana chains Phys. Rev. B 92, 115137 (2015)

2015

Later among the works it cites.

J. Z. Imbrie. Multi-Scale Jacobi Method for Anderson Localization Comm. Math. Phys., 341, 491-521, (2016)

2016

Later among the works it cites.

J. Z. Imbrie. On Many-Body Localization for Quantum Spin Chains J. Stat. Phys., 163, 998-1048, (2016)

2016

Later among the works it cites.

A. Moon, B. Nachtergaele. Stability of Gapped Ground State Phases of Spins and Fermions in One Dimension J. Math. Phys. 59, 091415 (2018)

2018

Closest in time.