Characterization of a quasi-one-dimensional spin-1/2 magnet which is gapless and paramagnetic for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>H</mml:mi><mml:mo>≲</mml:mo><mml:mi>J</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><

Hammar, P. R.; Stone, M. B.; Reich, Daniel H.; Broholm, C.; Gibson, P. J.; Turnbull, Mark M.; Landee, Christopher P.; Oshikawa, Masaki

doi:10.1103/physrevb.59.1008

Cited by 166 publications

(178 citation statements)

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“…The ratio | J interchain /J intrachain |= 4.4×10 −3 indicates the highly one-dimensional character of this system. CuPzN has been characterized by inelastic neutron scattering, muon-spin relaxation, magnetothermal transport, specific heat, and magnetization measurements [27,28,29,30]. All of these studies are consistent with a description of CuPzN in terms of the AFHC.…”

Section: Methodssupporting

confidence: 54%

Quantum critical dynamics of anS=12antiferromagnetic Heisenberg chain studied byC

et al. 2009

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We present a 13 C-NMR study of the magnetic field driven transition to complete polarization of the S=1/2 antiferromagnetic Heisenberg chain system copper pyrazine dinitrate Cu(C4H4N2)(NO3)2 (CuPzN). The static local magnetization as well as the low-frequency spin dynamics, probed via the nuclear spin-lattice relaxation rate T −1 1 , were explored from the low to the high field limit and at temperatures from the quantum regime (kBT ≪ J) up to the classical regime (kBT ≫ J). The experimental data show very good agreement with quantum Monte Carlo calculations over the complete range of parameters investigated. Close to the critical field, as derived from static experiments, a pronounced maximum in T −1 1 is found which we interpret as the finite-temperature manifestation of a diverging density of zero-energy magnetic excitations at the field-driven quantum critical point.

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Section: Methodssupporting

confidence: 54%

Quantum critical dynamics of anS=12antiferromagnetic Heisenberg chain studied byC

et al. 2009

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“…(65) and (66) to determine the parameter regions of temperature T and magnetic field h z for which entanglement exists in the solid state system. The critical values of T and h below which entanglement can be detected is of the order of J, which can be as high as 10 Kelvin (Hammar et al, 1999).…”

Section: Thermal Entanglement Witnessesmentioning

confidence: 99%

Entanglement in many-body systems

Amico¹,

et al. 2008

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The recent interest in aspects common to quantum information and condensed matter has prompted a flory of activity at the border of these disciplines that were far distant untill few years ago. Numerous interesting questions have been addressed so far. Here we review an important part of this field, the properties of the entanglement in many-body systems. We discuss the zero and finite temperature properties of entanglement in interacting spin, fermion and boson model systems. Both bipartite and multipartite entanglement will be considered. In equilibrium we show how entanglement is tightly connected to the characteristics of the phase diagram. The behavior of entanglement can be related, via certain witnesses, to thermodynamic quantities thus offering interesting possibilities for an experimental test. Out of equilibrium we discuss how to generate and manipulate entangled states by means of many-body Hamiltonians.

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“…One compound that promises to be particularly suitable for this purpose is copper pyrazine dinitrate ͓Cu(C 4 H 4 N 2 )(NO 3 ) 2 ͔. 7 The spin fluctuations can be observed directly via inelastic neutron scattering experiments. At very low temperatures, the dominant transitions in the scattering experiment are between the ground state ͉G͘ and a set of excitations ͉ ͘ that are reachable by one of the spin fluctuation operators S q ϭN Ϫ1/2 ͚ n e iqn S n , ϭx,y,z.…”

Section: Introductionmentioning

confidence: 99%

Quasiparticles governing the zero-temperature dynamics of the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field

2002

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The Tϭ0 dynamical properties of the one-dimensional ͑1D͒ sϭ 1 2 Heisenberg antiferromagnet in a uniform magnetic field are studied via the Bethe ansatz for cyclic chains of N sites. The ground state at magnetization 0ϽM z ϽN/2, which can be interpreted as a state with 2M z spinons or as a state of N/2ϪM z magnons, is reconfigured here as the vacuum for a different species of quasiparticles, the psinons and antipsinons. We investigate three kinds of quantum fluctuations, namely the spin fluctuations parallel and perpendicular to the direction of the applied magnetic field and the dimer fluctuations. The dynamically dominant excitation spectra are found to be sets of collective excitations composed of two quasiparticles excited from the psinon vacuum in different configurations. The Bethe ansatz provides a framework for ͑i͒ the characterization of the new quasiparticles in relation to the more familiar spinons and magnons, ͑ii͒ the calculation of spectral boundaries and densities of states for each continuum, ͑iii͒ the calculation of transition rates between the ground state and the dynamically dominant collective excitations, ͑iv͒ the prediction of line shapes for dynamic structure factors relevant for experiments performed on a variety of quasi-1D antiferromagnetic compounds, including KCuF 3 ,

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Characterization of a quasi-one-dimensional spin-1/2 magnet which is gapless and paramagnetic forgμBH≲Jandk<

Cited by 166 publications

References 39 publications

Quantum critical dynamics of anS=12antiferromagnetic Heisenberg chain studied byC

Quantum critical dynamics of anS=12antiferromagnetic Heisenberg chain studied byC

Entanglement in many-body systems

Quasiparticles governing the zero-temperature dynamics of the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field

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