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      Magnetic order in the quantum spin chain compound SrCo\(_{2}\)V\(_{2}\)O\(_{8}\): a single-crystal neutron diffraction study in magnetic field

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          Abstract

          We explore the spin states in the quantum spin chain compound SrCo\(_{2}\)V\(_{2}\)O\(_{8}\) up to 14.9 T and down to 50 mK, using single-crystal neutron diffraction. Upon cooling in zero-field, antiferromagnetic (AFM) order of N\'eel type develops at \(T_\mathrm{{N}}\) \(\simeq\) 5.0 K. Applying an external magnetic field (\(H\) \(\parallel\) \(c\)-axis) destabilizes the N\'eel order, leading to an order-disorder transition when applying a field between \(T_\mathrm{{N}}\) and \(\sim\) 1.5 K. Below 1.5 K, we observe a N\'eel to longitudinal spin density wave (LSDW) order transition at 3.9 T, and a LSDW to emergent AFM order transition at 7.0 T. Our results also reveal several unique signatures for the states of the spins that are not present in the isostructural counterpart BaCo\(_{2}\)V\(_{2}\)O\(_{8}\).

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          Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry

          Quantum phase transitions take place between distinct phases of matter at zero temperature. Near the transition point, exotic quantum symmetries can emerge that govern the excitation spectrum of the system. A symmetry described by the E8 Lie group with a spectrum of 8 particles was long predicted to appear near the critical point of an Ising chain. We realize this system experimentally by tuning the quasi-one-dimensional Ising ferromagnet CoNb2O6 through its critical point using strong transverse magnetic fields. The spin excitations are observed to change character from pairs of kinks in the ordered phase to spin-flips in the paramagnetic phase. Just below the critical field, the spin dynamics shows a fine structure with two sharp modes at low energies, in a ratio that approaches the golden mean as predicted for the first two meson particles of the E8 spectrum. Our results demonstrate the power of symmetry to describe complex quantum behaviours.
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            Bose–Einstein condensation of the triplet states in the magnetic insulator TlCuCl3

            Bose-Einstein condensation denotes the formation of a collective quantum ground state of identical particles with integer spin or intrinsic angular momentum. In magnetic insulators, the magnetic properties are due to the unpaired shell electrons that have half-integer spin. However, in some such compounds (KCuCl3 and TlCuCl3), two Cu2+ ions are antiferromagnetically coupled to form a dimer in a crystalline network: the dimer ground state is a spin singlet (total spin zero), separated by an energy gap from the excited triplet state (total spin one). In these dimer compounds, Bose-Einstein condensation becomes theoretically possible. At a critical external magnetic field, the energy of one of the Zeeman split triplet components (a type of boson) intersects the ground-state singlet, resulting in long-range magnetic order; this transition represents a quantum critical point at which Bose-Einstein condensation occurs. Here we report an experimental investigation of the excitation spectrum in such a field-induced magnetically ordered state, using inelastic neutron scattering measurements of TlCuCl3 single crystals. We verify unambiguously the theoretically predicted gapless Goldstone mode characteristic of the Bose-Einstein condensation of the triplet states.
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              Critical exponents for integrable models

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                Author and article information

                Journal
                30 January 2018
                Article
                1801.10237
                c79919f2-6149-4e21-9d3d-9b2b147c4a36

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                9 pages, 9 figures
                cond-mat.str-el

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