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Emergent multipolar spin correlations in a fluctuating spiral: The frustrated ferromagnetic spin- 1 2 Heisenberg chain in a magnetic field

2009; American Physical Society; Volume: 80; Issue: 14 Linguagem: Inglês

10.1103/physrevb.80.140402

1550-235X

Julien Sudan, Andreas Lüscher, Andreas M. Läuchli,

Advanced Condensed Matter Physics

We present the phase diagram of the frustrated ferromagnetic $S=\frac{1}{2}$ Heisenberg ${J}_{1}\ensuremath{-}{J}_{2}$ chain in a magnetic field, obtained by large scale exact diagonalizations and density matrix renormalization group simulations. A vector chirally ordered state, metamagnetic behavior and a sequence of spin-multipolar Luttinger liquid phases up to hexadecupolar kind are found. We provide numerical evidence for a locking mechanism, which can drive spiral states toward spin-multipolar phases, such as quadrupolar or octupolar phases. Our results also shed light on previously discovered spin-multipolar phases in two-dimensional $S=\frac{1}{2}$ quantum magnets in a magnetic field.