Spinon confinement in a spin-1 chain.

作者: Natalia Chepiga , Frédéric Mila , Frank Verstraete , Laurens Vanderstraeten , Elisabeth Wybo

DOI:

关键词:

摘要: We explain how spinons and magnons naturally arise in $\mathrm{SU}(2)$ invariant spin chains when describing ground states elementary excitations using MPS. Within this description, can emerge a spin-1 chain at first-order transition between symmetry-protected topological phase trivial phase. provide MPS simulations for the spinon dispersion relations frustrated dimerized chain, show that these determine low-lying spectrum vicinity of by formation spinon/anti-spinon bound states.

参考文章(52)
Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete, Jutho Haegeman, Excitations and the tangent space of projected entangled-pair states Physical Review B. ,vol. 92, pp. 201111- ,(2015) , 10.1103/PHYSREVB.92.201111
Norbert Schuch, David Pérez-García, Ignacio Cirac, Classifying quantum phases using matrix product states and projected entangled pair states Physical Review B. ,vol. 84, pp. 165139- ,(2011) , 10.1103/PHYSREVB.84.165139
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pižorn, Henri Verschelde, Frank Verstraete, Time-dependent variational principle for quantum lattices. Physical Review Letters. ,vol. 107, pp. 070601- 070601 ,(2011) , 10.1103/PHYSREVLETT.107.070601
Martin Mourigal, Mechthild Enderle, Axel Klöpperpieper, Jean-Sébastien Caux, Anne Stunault, Henrik M. Rønnow, Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain Nature Physics. ,vol. 9, pp. 435- 441 ,(2013) , 10.1038/NPHYS2652
L.D. Faddeev, L.A. Takhtajan, What is the spin of a spin wave Physics Letters A. ,vol. 85, pp. 375- 377 ,(1981) , 10.1016/0375-9601(81)90335-2
T Kennedy, Exact diagonalisations of open spin-1 chains Journal of Physics: Condensed Matter. ,vol. 2, pp. 5737- 5745 ,(1990) , 10.1088/0953-8984/2/26/010
M. Arai, M. Fujita, M. Motokawa, J. Akimitsu, S. M. Bennington, Quantum Spin Excitations in the Spin-Peierls System CuGeO3. Physical Review Letters. ,vol. 77, pp. 3649- 3652 ,(1996) , 10.1103/PHYSREVLETT.77.3649
Didier Poilblanc, Norbert Schuch, David Pérez-García, J. Ignacio Cirac, Topological and entanglement properties of resonating valence bond wave functions Physical Review B. ,vol. 86, pp. 014404- ,(2012) , 10.1103/PHYSREVB.86.014404