A new family of matrix product states with Dzyaloshinski-Moriya interactions

Abstract

We define a new family of matrix product states which are exact ground states of spin 1/2 Hamiltonians on one dimensional lattices. This class of Hamiltonians contain both Heisenberg and Dzyaloshinskii-Moriya interactions but at specified and not arbitrary couplings. We also compute in closed forms the one and two-point functions and the explicit form of the ground state. The degeneracy structure of the ground state is also discussed.

15 pages, 1 figure

References in corpus (15)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Matrix product states represent ground states faithfully
• DMRG and periodic boundary conditions: a quantum information perspective
• Entanglement versus Correlations in Spin Systems
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
• Quantum phase transitions in matrix product systems
• The matrix product representations for all valence bond states
• Quantum Phase Transitions and Matrix Product States in Spin Ladders
• Entanglement and quantum phase transitions in matrix product spin one chains
• Matrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions
• Quantum Critical Point and Entanglement in a Matrix Product Ground State
• Exact symmetry breaking ground states for quantum spin chains
• Exact ground states for two new spin-1 quantum chains, new features of matrix product states
• A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices