Heisenberg antiferromagnet on the Husimi lattice
We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on Projected Entangled Simplex States (PESS). The nature of the ground state varies strongly with the spin quantum number, \(S\). For \(S = 1/2\), it is an algeb...
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| Abstract | We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on Projected Entangled Simplex States (PESS). The nature of the ground state varies strongly with the spin quantum number, \(S\). For \(S = 1/2\), it is an algebraic (gapless) quantum spin liquid. For \(S = 1\), it is a gapped, non-magnetic state with spontaneous breaking of triangle symmetry (a trimerized simplex-solid state). For \(S = 2\), it is a simplex-solid state with a spin gap and no symmetry-breaking; both integer-spin simplex-solid states are characterized by specific degeneracies in the entanglement spectrum. For \(S = 3/2\), and indeed for all spin values \(S \ge 5/2\), the ground states have \(120\)-degree antiferromagnetic order. In a finite magnetic field, we find that, irrespective of the value of \(S\), there is always a plateau in the magnetization at \(m = 1/3\). |
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| AbstractList | Phys. Rev. B 93, 075154 (2016) We perform a systematic study of the antiferromagnetic Heisenberg model on
the Husimi lattice using numerical tensor-network methods based on Projected
Entangled Simplex States (PESS). The nature of the ground state varies strongly
with the spin quantum number, $S$. For $S = 1/2$, it is an algebraic (gapless)
quantum spin liquid. For $S = 1$, it is a gapped, non-magnetic state with
spontaneous breaking of triangle symmetry (a trimerized simplex-solid state).
For $S = 2$, it is a simplex-solid state with a spin gap and no
symmetry-breaking; both integer-spin simplex-solid states are characterized by
specific degeneracies in the entanglement spectrum. For $S = 3/2$, and indeed
for all spin values $S \ge 5/2$, the ground states have $120$-degree
antiferromagnetic order. In a finite magnetic field, we find that, irrespective
of the value of $S$, there is always a plateau in the magnetization at $m =
1/3$. We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on Projected Entangled Simplex States (PESS). The nature of the ground state varies strongly with the spin quantum number, \(S\). For \(S = 1/2\), it is an algebraic (gapless) quantum spin liquid. For \(S = 1\), it is a gapped, non-magnetic state with spontaneous breaking of triangle symmetry (a trimerized simplex-solid state). For \(S = 2\), it is a simplex-solid state with a spin gap and no symmetry-breaking; both integer-spin simplex-solid states are characterized by specific degeneracies in the entanglement spectrum. For \(S = 3/2\), and indeed for all spin values \(S \ge 5/2\), the ground states have \(120\)-degree antiferromagnetic order. In a finite magnetic field, we find that, irrespective of the value of \(S\), there is always a plateau in the magnetization at \(m = 1/3\). |
| Author | Xie, Z Y Chen, J Han, X J Liao, H J Xie, H D Xiang, T Normand, B |
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| BackLink | https://doi.org/10.48550/arXiv.1510.08655$$DView paper in arXiv https://doi.org/10.1103/PhysRevB.93.075154$$DView published paper (Access to full text may be restricted) |
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| DOI | 10.48550/arxiv.1510.08655 |
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| Snippet | We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network methods based on Projected... Phys. Rev. B 93, 075154 (2016) We perform a systematic study of the antiferromagnetic Heisenberg model on the Husimi lattice using numerical tensor-network... |
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| SubjectTerms | Antiferromagnetism Broken symmetry Entanglement Ground state Heisenberg theory Numerical methods Physics - Strongly Correlated Electrons Solid state Spin liquid Statistical models Tensors |
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| Title | Heisenberg antiferromagnet on the Husimi lattice |
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