Fetching the paper…
Reading the bibliography…
We introduce and analyze a class of quantum spin models defined on d-dimensional lattices Lambda subset of Z^d, which we call `Product Vacua with Boundary States' (PVBS).
Existence of phase transitions for quantum lattice systems
J. Ginibre · 1969
Earlier work this paper cites.
Expansions and phase transitions for the ground state of quantum ising lattice systems
J. R. Kirkwood and L. E. Thomas · 1983
Earlier work this paper cites.
Uniqueness of the translationally invariant ground state in quantum spin systems
T. Matsui · 1990
Earlier work this paper cites.
Hidden symmetry breaking and the haldane phase in s = 1 s=1 quantum spin chains
T. Kennedy and H. Tasaki · 1992
Earlier work this paper cites.
Low temperature phase diagrams for quantum perturbations of classical spin systems
C. Borgs, R. Kotecký, and D. Ueltschi · 1996
Earlier work this paper cites.
Low-temperature phase diagrams of quantum lattice systems. i. stability for quantum perturbations of classical systems with finitely-many ground states
N. Datta, R. Fernández, and J. Fröhlich · 1996
Earlier work this paper cites.
The spectral gap for some quantum spin chains with discrete symmetry breaking
B. Nachtergaele · 1996
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons
A. Yu. Kitaev · 2003
Earlier work this paper cites.
Propagation of correlations in quantum lattice systems
B. Nachtergaele, Y. Ogata, and R. Sims · 2006
Earlier work this paper cites.
Ground states in relatively bounded quantum perturbations of classical lattice systems
D. A. Yarotsky · 2006
Earlier work this paper cites.
Periodic table for topological insulators and superconductors
A. Kitaev · 2009
Cited alongside, same era.
Topological quantum order: stability under local perturbations
S. Bravyi, M. Hastings, and S. Michalakis · 2010
Cited alongside, same era.
Characterizing symmetries in a projected entangled pair state
D. Perez-Garcia, M. Sanz, C.E. Gonzalez-Guillen, M.M. Wolf, and J.I. Cirac · 2010
Cited alongside, same era.
Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
S. Bachmann, S. Michalakis, B. Nachtergaele, and R. Sims · 2011
Cited alongside, same era.
A short proof of stability of topological order under local perturbations
S. Bravyi and M. B. Hastings · 2011
Cited alongside, same era.
Classification of gapped symmetric phases in one-dimensional spin systems
X. Chen, Z.-C. Gu, and X.-G. Wen · 2011
Robustness in projected entangled pair states
J.I. Cirac, S. Michalakis, D. Perez-Garcia, and N. Schuch · 2013
Later among the works it cites.
Topological phases of spin chains
K. Duivenvoorden and T. Quella · 2013
Later among the works it cites.
Elementary excitations in gapped quantum spin systems
J. Haegeman, S. Michalakis, B. Nachtergaele, T.J. Osborne, N. Schuch, and F. Verstraete · 2013
Later among the works it cites.
Classifying Quantum Phases With The Torus Trick
M. Hastings · 2013
Later among the works it cites.
Stability of frustration-free hamiltonians
S. Michalakis and J. Pytel · 2013
Later among the works it cites.
Topological order in peps: Transfer operator and boundary hamiltonians
N. Schuch, D. Poilblanc, J.I. Cirac, and D. Perez-Garcia · 2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Classifying quantum phases using matrix product states and peps
N. Schuch, D. Perez-Garcia, and I. Cirac · 2011
Cited alongside, same era.
Product vacua with boundary states
S. Bachmann and B. Nachtergaele · 2012
Cited alongside, same era.
Symmetry protected topological orders and the group cohomology of their symmetry group
X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen · 2013
Cited alongside, same era.
On gapped phases with a continuous symmetry and boundary operators
S. Bachmann and B. Nachtergaele · 2014
Closest in time.
Perturbation theory for parent hamiltonians of matrix product states
O. Szehr and M. M. Wolf · 2014
Closest in time.
Edge theories in projected entangled pair state models
S. Yang, L. Lehman, D. Poilblanc, K. Van Acoleyen, F. Verstraete, J.I. Cirac, and N. Schuch · 2014
Closest in time.