9,933 research outputs found

    The t-J model on a semi-infinite lattice

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    The hole spectral function of the t-J model on a two-dimensional semi-infinite lattice is calculated using the spin-wave and noncrossing approximations. In the case of small hole concentration and strong correlations, t≫Jt\gg J, several near-boundary site rows appear to be depleted of holes. The reason for this depletion is a deformation of the magnon cloud, which surrounds the hole, near the boundary. The hole depletion in the boundary region leads to a more complicated spectral function in the boundary row in comparison with its bulk shape.Comment: 8 pages, 5 figure

    High resolution Ge/Li/ spectrometer reduces rate-dependent distortions at high counting rates

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    Modified spectrometer system with a low-noise preamplifier reduces rate-dependent distortions at high counting rates, 25,000 counts per second. Pole-zero cancellation minimizes pulse undershoots due to multiple time constants, baseline restoration improves resolution and prevents spectral shifts

    Temperature behavior of the magnon modes of the square lattice antiferromagnet

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    A spin-wave theory of short-range order in the square lattice Heisenberg antiferromagnet is formulated. With growing temperature from T=0 a gapless mode is shown to arise simultaneously with opening a gap in the conventional spin-wave mode. The spectral intensity is redistributed from the latter mode to the former. For low temperatures the theory reproduces results of the modified spin-wave theory by M.Takahashi, J.E.Hirsch et al. and without fitting parameters gives values of observables in good agreement with Monte Carlo results in the temperature range 0 <= T < 0.8J where J is the exchange constant.Comment: 12 pages, 2 figure

    One-loop approximation for the Heisenberg antiferromagnet

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    We use the diagram technique for spin operators to calculate Green's functions and observables of the spin-1/2 quantum Heisenberg antiferromagnet on a square lattice. The first corrections to the self-energy and interaction are taken into account in the chain diagrams. The approximation reproduces main results of Takahashi's modified spin-wave theory [Phys. Rev. B 40, 2494 (1989)] and is applicable in a wider temperature range. The energy per spin calculated in this approximation is in good agreement with the Monte Carlo and small-cluster exact-diagonalization calculations in the range 0 <= T < 1.2J where J is the exchange constant. For the static uniform susceptibility the agreement is good for T < 0.6J and becomes somewhat worse for higher temperatures. Nevertheless the approximation is able to reproduce the maximum in the temperature dependence of the susceptibility near T = 0.9J.Comment: 15 pages, 6 ps figure

    AMATEUR BOXER BIOMECHANICS AND PUNCH FORCE

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    The current study investigates the correlation between punch biomechanics and punch force in amateur male boxers (n=39). A Hybrid III 50th percentile male dummy was used to gather punch force values. TrackEye Motion Analysis (TEMA) was used to measure the velocity of each boxer’s punch. Lower body force values were determined using the Functional Assessment of Biomechanics (FAB) system. Two types of punches, hooks and straights, were analyzed. It was determined that punch forces correlated more strongly to hand velocity than to lower body forces. Punch force correlated to hand velocity with R2 values of 0.380 and 0.391 for hook and straight punches, respectively (

    Applications of BGP-reflection functors: isomorphisms of cluster algebras

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    Given a symmetrizable generalized Cartan matrix AA, for any index kk, one can define an automorphism associated with A,A, of the field Q(u1,>...,un)\mathbf{Q}(u_1, >..., u_n) of rational functions of nn independent indeterminates u1,...,un.u_1,..., u_n. It is an isomorphism between two cluster algebras associated to the matrix AA (see section 4 for precise meaning). When AA is of finite type, these isomorphisms behave nicely, they are compatible with the BGP-reflection functors of cluster categories defined in [Z1, Z2] if we identify the indecomposable objects in the categories with cluster variables of the corresponding cluster algebras, and they are also compatible with the "truncated simple reflections" defined in [FZ2, FZ3]. Using the construction of preprojective or preinjective modules of hereditary algebras by Dlab-Ringel [DR] and the Coxeter automorphisms (i.e., a product of these isomorphisms), we construct infinitely many cluster variables for cluster algebras of infinite type and all cluster variables for finite types.Comment: revised versio

    Fixed-parameter tractability of multicut parameterized by the size of the cutset

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    Given an undirected graph GG, a collection {(s1,t1),...,(sk,tk)}\{(s_1,t_1),..., (s_k,t_k)\} of pairs of vertices, and an integer pp, the Edge Multicut problem ask if there is a set SS of at most pp edges such that the removal of SS disconnects every sis_i from the corresponding tit_i. Vertex Multicut is the analogous problem where SS is a set of at most pp vertices. Our main result is that both problems can be solved in time 2O(p3)...nO(1)2^{O(p^3)}... n^{O(1)}, i.e., fixed-parameter tractable parameterized by the size pp of the cutset in the solution. By contrast, it is unlikely that an algorithm with running time of the form f(p)...nO(1)f(p)... n^{O(1)} exists for the directed version of the problem, as we show it to be W[1]-hard parameterized by the size of the cutset
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