Stability of gapped ground state phases of spins and fermions in one dimension (original) (raw)
Related papers
Improved Bounds on the Spectral Gap Above Frustration-Free Ground States of Quantum Spin Chains
Letters in Mathematical Physics, 2003
Towards a complete classification of 1D gapped quantum phases in interacting spin systems
2011
Complete classification of 1D gapped quantum phases in interacting spin systems
Topological Order and Universal Properties of Gapped Quantum Systems
2018
Complete classification of one-dimensional gapped quantum phases in interacting spin systems
2011
The spectral gap for some spin chains with discrete symmetry breaking
Communications in Mathematical Physics, 1996
Classification of Gapped Symmetric Phases in 1D Spin Systems
2010
The fate of local order in topologically frustrated spin chains
2021
Topological classification of gapped spin chains: Quantized Berry phase as a local order parameter
Physical Review B, 2008
Topological quantum phase transitions of attractive spinless fermions in a honeycomb lattice
EPL (Europhysics Letters), 2011
Local characterization of one-dimensional topologically ordered states
Physical Review B, 2013
Local characterization of 1d topologically ordered states
Gapped quantum phases for the S=1 spin chain with D_{2h} symmetry
Physical Review B, 2011
Symmetry protection of topological phases in one-dimensional quantum spin systems
Physical Review B, 2012
Large Deviations in Quantum Lattice Systems: One-Phase Region
Journal of Statistical Physics, 2005
Physical Review B, 2015
Gapless phases in an S=1/2 quantum spin chain with bond alternation
Physical review. B, Condensed matter, 1994
Physical Review B, 1997
Disordered Fermions on Lattices and Their Spectral Properties
Journal of Statistical Physics, 2011
Growing quantum states with topological order
Physical Review B, 2015
Coexisting Edge States and Gapless Bulk in Topological States of Matter
Physical Review Letters, 2015
Correlations, spectral gap, and entanglement in harmonic quantum systems on generic lattices
2005
On Gapped Phases with a Continuous Symmetry and Boundary Operators
Journal of Statistical Physics, 2014
Approximating the ground state of gapped quantum spin systems
Eman Hamza, Bruno Nachtergaele
Journal of Mathematical Physics, 2009
Journal of Statistical Physics, 1996
Disordered ground states in a quantum frustrated spin chain with side chains
Physical Review B, 2008
Ground-state phases of interacting Fermi gases in disordered one-dimensional lattices
Journal of Physics B: Atomic, Molecular and Optical Physics, 2012
New gapped quantum phases for S= 1 spin chain with D2h symmetry
2011
2013
Topology and quantum phases of low dimensional fermionic systems
arXiv: Strongly Correlated Electrons, 2018
Entanglement versus gap for one-dimensional spin systems
New Journal of Physics, 2010
Generic Local Hamiltonians are Gapless
Physical review letters, 2017
Product Vacua with Boundary States and the Classification of Gapped Phases
Communications in Mathematical Physics, 2014
Gapless fermions and quantum order
Physical Review B, 2002