Entanglements and correlations of one-dimensional quantum spin-1/2 chain with anisotropic power-law long range interactions
arXiv:2003.04472 · doi:10.1103/PhysRevB.101.094410
Abstract
The correlations, entanglement entropy, and fidelity susceptibility are calculated for a one-dimensional spin-1/2 XXZ chain with anisotropic power-law long range interactions by employing the density matrix renormalization group method. In particular, this long-range interaction is assigned to ferromagnetic for transversal components, while it can be either ferro- or antiferromagnetic for the longitudinal spin component. Two ground-state phase diagrams are established versus the anisotropy of the interactions which not only changes the phase boundaries of the counterparts with short-range interactions, but also leads to the emergence of exotic phases. We found that the long-range interactions of the z-component results in a Wigner crystal phase, whereas the transversal one may break a continuous symmetry, resulting in a continuous symmetry breaking phase.
8 pages, 9 figures
References in corpus (14)
- The density-matrix renormalization group in the age of matrix product states
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Entanglement entropy for the long range Ising chain
- Applying matrix product operators to model systems with long-range interactions
- Can many-body localization persist in the presence of long-range interactions or long-range hopping?
- Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
- Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
- Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
- Generalized fidelity susceptibility at phase transitions
- Entanglement spectrum of the Heisenberg XXZ chain near the ferromagnetic point
- Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
- Valence bond entanglement entropy of frustrated spin chains
- Emergent phases in a compass chain with multisite interactions
- Ground states of long-range interacting fermions in one spatial dimension
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- Many-Body Physics in Small Systems: Observing the Onset and Saturation of Correlation in Linear Atomic Chains
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- Topological phases of spinless -orbital fermions in zigzag optical lattices
- Entanglement of weighted graphs uncovers transitions in variable-range interacting models
- Slow transport and bound states for spinless fermions with long-range Coulomb interactions on one-dimensional lattices
- One dimensional Bose-Hubbard model with long range hopping
- Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
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