TY - JOUR
AB - We report resonant ultrasound spectroscopy (RUS), dilatometry/magnetostriction, magnetotransport, magnetization, specific-heat, and 119Sn Mössbauer spectroscopy measurements on SnTe and Sn0.995Cr0.005Te. Hall measurements at T=77 K indicate that our Bridgman-grown single crystals have a p-type carrier concentration of 3.4×1019 cm−3 and that our Cr-doped crystals have an n-type concentration of 5.8×1022 cm−3. Although our SnTe crystals are diamagnetic over the temperature range 2≤T≤1100 K, the Cr-doped crystals are room-temperature ferromagnets with a Curie temperature of 294 K. For each sample type, three-terminal capacitive dilatometry measurements detect a subtle 0.5 μm distortion at Tc≈85 K. Whereas our RUS measurements on SnTe show elastic hardening near the structural transition, pointing to co-elastic behavior, similar measurements on Sn0.995Cr0.005Te show a pronounced softening, pointing to ferroelastic behavior. Effective Debye temperature, θD, values of SnTe obtained from 119Sn Mössbauer studies show a hardening of phonons in the range 60–115 K (θD=162 K) as compared with the 100–300 K range (θD=150 K). In addition, a precursor softening extending over approximately 100 K anticipates this collapse at the critical temperature and quantitative analysis over three decades of its reduced modulus finds ΔC44/C44=A|(T−T0)/T0|−κ with κ=0.50±0.02, a value indicating a three-dimensional softening of phonon branches at a temperature T0∼75 K, considerably below Tc. We suggest that the differences in these two types of elastic behaviors lie in the absence of elastic domain-wall motion in the one case and their nucleation in the other.
AU - Salje, E. K. H.
AU - Safarik, D. J.
AU - Modic, Kimberly A
AU - Gubernatis, J. E.
AU - Cooley, J. C.
AU - Taylor, R. D.
AU - Mihaila, B.
AU - Saxena, A.
AU - Lookman, T.
AU - Smith, J. L.
AU - Fisher, R. A.
AU - Pasternak, M.
AU - Opeil, C. P.
AU - Siegrist, T.
AU - Littlewood, P. B.
AU - Lashley, J. C.
ID - 7078
IS - 18
JF - Physical Review B
SN - 1098-0121
TI - Tin telluride: A weakly co-elastic metal
VL - 82
ER -
TY - JOUR
AB - We prove a generating function formula for the Betti numbers of Nakajima quiver varieties. We prove that it is a q-deformation of the Weyl-Kac character formula. In particular this implies that the constant term of the polynomial counting the number of absolutely indecomposable representations of a quiver equals the multiplicity of a certain weight in the corresponding Kac-Moody algebra, which was conjectured by Kac in 1982.
AU - Tamas Hausel
ID - 1465
IS - 1
JF - Inventiones Mathematicae
TI - Kac's conjecture from Nakajima quiver varieties
VL - 181
ER -
TY - JOUR
AB - In Hausel et al. (2008) [10] we presented a conjecture generalizing the Cauchy formula for Macdonald polynomial. This conjecture encodes the mixed Hodge polynomials of the character varieties of representations of the fundamental group of a punctured Riemann surface of genus g. We proved several results which support this conjecture. Here we announce new results which are consequences of those in Hausel et al. (2008) [10].
AU - Tamas Hausel
AU - Letellier, Emmanuel
AU - Rodríguez Villegas, Fernando
ID - 1466
IS - 3-4
JF - Comptes Rendus Mathematique
TI - Topology of character varieties and representations of quivers
VL - 348
ER -
TY - CHAP
AB - This chapter surveys the motivations, related results, and progress made towards the following problem, raised by Hitchin in 1995: What is the space of L2 harmonic forms on the moduli space of Higgs bundles on a Riemann surface?
AU - Tamas Hausel
ID - 1468
T2 - The Many Facets of Geometry: A Tribute to Nigel Hitchin
TI - S-Duality in HyperkäHler Hodge Theory
ER -
TY - JOUR
AB - Control over all internal and external degrees of freedom of molecules at the level of single quantum states will enable a series of fundamental studies in physics and chemistry1,2. In particular, samples of ground-state molecules at ultralow temperatures and high number densities will facilitate new quantum-gas studies3 and future applications in quantum information science4. However, high phase-space densities for molecular samples are not readily attainable because efficient cooling techniques such as laser cooling are lacking. Here we produce an ultracold and dense sample of molecules in a single hyperfine level of the rovibronic ground state with each molecule individually trapped in the motional ground state of an optical lattice well. Starting from a zero-temperature atomic Mott-insulator state with optimized double-site occupancy6, weakly bound dimer molecules are efficiently associated on a Feshbach resonance7 and subsequently transferred to the rovibronic ground state by a stimulated four-photon process with >50% efficiency. The molecules are trapped in the lattice and have a lifetime of 8 s. Our results present a crucial step towards Bose-Einstein condensation of ground-state molecules and, when suitably generalized to polar heteronuclear molecules, the realization of dipolar quantum-gas phases in optical lattices8-10.
AU - Danzl, Johann G
AU - Mark, Manfred
AU - Haller, Elmar
AU - Gustavsson, Mattias
AU - Hart, Russell
AU - Aldegunde, Jesus
AU - Hutson, Jeremy
AU - Nägerl, Hanns
ID - 1044
IS - 4
JF - Nature Physics
TI - An ultracold high-density sample of rovibronic ground-state molecules in an optical lattice
VL - 6
ER -