arXiv:0905.2157 · Condensed Matter Physics

Field-controlled spin current in frustrated spin chains

Alexei K. Kolezhuk, Ian P. McCulloch

Published Jan 1, 2009• 6 citations

Abstract

We study states with spontaneous spin current, emerging in frustrated antiferromagnetic spin-S chains subject to a strong external magnetic field.As a numerical tool, we use a non-Abelian symmetry realization of the density matrix renormalization group.The field dependence of the order parameter and the critical exponents are presented for zigzag chains with S = 1/2, 1, 3/2, and 2.

DOI: 10.5488/cmp.12.3.429

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arXiv:0905.2157 · Condensed Matter Physics

Field-controlled spin current in frustrated spin chains

Alexei K. Kolezhuk, Ian P. McCulloch

Published Jan 1, 2009• 6 citations

arXiv HTML PDF

Abstract

DOI: 10.5488/cmp.12.3.429

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S=1

and

S=1∕2

, subject to a strong external magnetic field. It is shown that the field induces a phase with spontaneously broken chiral symmetry, in line with earlier theoretical predictions. We present results on the field dependence of the order parameter and the critical exponents.

S=1/2

and

S=1

chains using the density matrix renormalization group method. Critical amplitudes and the scattering length at the chain ends are also determined. Although both systems are Luttinger liquids the characteristic parameters differ considerably.

A modified density matrix renormalization group (DMRG) algorithm is applied to the zigzag spin-

\frac{1}{2}

chain with frustrated antiferromagnetic exchange

{J}_{1}

and

{J}_{2}

between first and second neighbors. The modified algorithm yields accurate results up to ${J}_{2}/{J}_{1}\ensuremath{\approx}4$ for the magnetic gap $\ensuremath{\Delta}$ to the lowest triplet state, the amplitude

B

of the bond order wave phase, the wavelength $\ensuremath{\lambda}$ of the spiral phase, and the spin correlation length $\ensuremath{\xi}$. The

{J}_{2}/{J}_{1}

dependences of $\ensuremath{\Delta}$,

B

, $\ensuremath{\lambda}$, and $\ensuremath{\xi}$ provide multiple comparisons to field theories of the zigzag chain. The twist angle of the spiral phase and the spin structure factor yield additional comparisons between DMRG and field theory. Attention is given to the numerical accuracy required to obtain exponentially small gaps or exponentially long correlations near a quantum phase transition.