258 research outputs found
Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
It is generally difficult to experimentally distinguish magnetic multipolar
orders in spin systems. Recently, it was proposed that the temperature
dependence of the nuclear magnetic resonance relaxation rate 1/T_1 can involve
an indirect, but clear signature of the field-induced spin nematic or
multipolar Tomonaga-Luttinger (TL) liquid phase [Phys. Rev. B79, 060406(R)
(2009)]. In this paper, we evaluate accurately the field and temperature
dependence of 1/T_1 in spin-1/2 frustrated J1-J2 chains combining
field-theoretical techniques with numerical data. Our results demonstrate that
isotherms of 1/T_1 as a function of magnetic field also exhibit distinctive
non-monotonic behavior in spin nematic TL liquid, in contrast with the standard
TL liquid in the spin-1/2 Heisenberg chain. The relevance of our results to
quasi one-dimensional edge-sharing cuprate magnets, such as LiCuVO4, is
discussed.Comment: 11 pages (2 column), 5 figures, published versio
Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
We study the one-dimensional spin-1/2 Heisenberg chain with competing
ferromagnetic nearest-neighbor J_1 and antiferromagnetic next-nearest-neighbor
J_2 exchange couplings in the presence of magnetic field. We use both numerical
approaches (the density matrix renormalization group method and exact
diagonalization) and effective field-theory approach, and obtain the
ground-state phase diagram for wide parameter range of the coupling ratio
J_1/J_2. The phase diagram is rich and has a variety of phases, including the
vector chiral phase, the nematic phase, and other multipolar phases. In the
vector chiral phase, which appears in relatively weak magnetic field, the
ground state exhibits long-range order (LRO) of vector chirality which
spontaneously breaks a parity symmetry. The nematic phase shows a quasi-LRO of
antiferro-nematic spin correlation, and arises as a result of formation of
two-magnon bound states in high magnetic fields. Similarly, the higher
multipolar phases, such as triatic (p=3) and quartic (p=4) phases, are formed
through binding of p magnons near the saturation fields, showing quasi-LRO of
antiferro-multipolar spin correlations. The multipolar phases cross over to
spin density wave phases as the magnetic field is decreased, before
encountering a phase transition to the vector chiral phase at a lower field.
The implications of our results to quasi-one-dimensional frustrated magnets
(e.g., LiCuVO_4) are discussed.Comment: v1. 20 pages, 18 figures: v2: 21 pages, 19 figures, Title modified
slightly. Some references, Fig.16, and a note are added. To appear in Phys.
Rev.
Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
We study the one-dimensional spin-1/2 Heisenberg model with antiferromagnetic
nearest-neighbor J_1 and next-nearest-neighbor J_2 exchange couplings in
magnetic field h. With varying dimensionless parameters J_2/J_1 and h/J_1, the
ground state of the model exhibits several phases including three gapped phases
(dimer, 1/3-magnetization plateau, and fully polarized phases) and four types
of gapless Tomonaga-Luttinger liquid (TLL) phases which we dub TLL1, TLL2,
spin-density-wave (SDW_2), and vector chiral phases. From extensive numerical
calculations using the density-matrix renormalization-group method, we
investigate various (multiple-)spin correlation functions in detail, and
determine dominant and subleading correlations in each phase. For the
one-component TLLs, i.e., the TLL1, SDW_2, and vector chiral phases, we fit the
numerically obtained correlation functions to those calculated from effective
low-energy theories of TLLs, and find good agreement between them. The
low-energy theory for each critical TLL phase is thus identified, together with
TLL parameters which control the exponents of power-law decaying correlation
functions. For the TLL2 phase, we develop an effective low-energy theory of
two-component TLL consisting of two free bosons (central charge c=1+1), which
explains numerical results of entanglement entropy and Friedel oscillations of
local magnetization. Implications of our results to possible magnetic phase
transitions in real quasi-one-dimensional compounds are also discussed.Comment: 22 pages, 17 figures. v2: published versio
Duality relations and exotic orders in electronic ladder systems
We discuss duality relations in correlated electronic ladder systems to
clarify mutual relations between various conventional and unconventional
phases. For the generalized two-leg Hubbard ladder, we find two exact duality
relations, and also one asymptotic relation which holds in the low-energy
regime. These duality relations show that unconventional (exotic) density-wave
orders such as staggered flux or circulating spin-current are directly mapped
to conventional density-wave orders, which establishes the appearance of
various exotic states with time-reversal and/or spin symmetry breaking. We also
study duality relations in the SO(5) symmetry that was proposed to unify
antiferromagnetism and d-wave superconductivity. We show that the same SO(5)
symmetry also unifies circulating spin current order and s-wave
superconductivity.Comment: 9 pages, 2 figures; Proceedings of SPQS2004 (Sendai
Quantum fluctuations in quantum lattice-systems with continuous symmetry
We discuss conditions for the absence of spontaneous breakdown of continuous
symmetries in quantum lattice systems at . Our analysis is based on
Pitaevskii and Stringari's idea that the uncertainty relation can be employed
to show quantum fluctuations. For the one-dimensional systems, it is shown that
the ground state is invariant under the continuous transformation if a certain
uniform susceptibility is finite. For the two- and three-dimensional systems,
it is shown that truncated correlation functions cannot decay any more rapidly
than whenever the continuous symmetry is spontaneously broken.
Both of these phenomena occur owing to quantum fluctuations. Our theorems cover
a wide class of quantum lattice-systems having not-too-long-range interactions.Comment: 14 pages. To appear in J.Stat.Phy
Generalised Shastry-Sutherland Models in three and higher dimensions
We construct Heisenberg anti-ferromagnetic models in arbitrary dimensions
that have isotropic valence bond crystals (VBC) as their exact ground states.
The d=2 model is the Shastry-Sutherland model. In the 3-d case we show that it
is possible to have a lattice structure, analogous to that of SrCu_2(BO_3)_2,
where the stronger bonds are associated with shorter bond lengths. A dimer mean
field theory becomes exact at d -> infinity and a systematic 1/d expansion can
be developed about it. We study the Neel-VBC transition at large d and find
that the transition is first order in even but second order in odd dimensions.Comment: Published version; slightly expande
Multi-Triplet Magnons in SrCu(BO) Studied by Thermal Conductivity Measurements in Magnetic Fields
We have measured the thermal conductivity parallel to the a-axis of the
Zn-free and 1% Zn-substituted SrCuZn(BO) in magnetic fields
up to 14 T, in order to examine the thermal conductivity due to the
multi-triplet magnons. It has been found that the thermal conductivity peak
observed in the spin gap state is suppressed by the substitution of Zn for Cu
in high magnetic fields above 6 T, while it is not changed in low magnetic
fields below 6 T. The results suggest that the thermal conductivity peak in the
spin-gap state of SrCu(BO) is composed of not only thermal
conductivity due to phonons but also that due to the multi-triplet magnons in
high fields above 6 T.Comment: 7 pages, 2 figure
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