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We show that a 2-leg ladder hamiltonian introduced recently by Albeverio and Fei (cond-mat/9807341) can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the…

Statistical Mechanics · Physics 2009-10-31 M. T. Batchelor , M. Maslen

A strong-coupling expansion for the antiferromagnetic phase of the Hubbard model is derived in the framework of the slave-boson mean-field approximation. The expansion can be obtained in terms of moments of the density of states of freely…

Condensed Matter · Physics 2009-10-28 P. J. H. Denteneer

We study the Heisenberg model on the pinwheel distorted kagome lattice as observed in the material Rb_2Cu_3SnF_12. Experimentally relevant thermodynamic properties at finite temperatures are computed utilizing numerical linked-cluster…

Strongly Correlated Electrons · Physics 2011-12-21 Ehsan Khatami , Rajiv R. P. Singh , Marcos Rigol

The rich ground-state phase diagram of the mixed spin-(1,1/2) Heisenberg octahedral chain was previously elaborated from effective mixed-spin Heisenberg chains, which were derived by employing a local conservation of a total spin on square…

Statistical Mechanics · Physics 2022-07-20 Katarina Karlova , Jozef Strecka , Johannes Richter

We investigate the ground state magnetization plateaus appearing in spin 1/2 polymerized Heisenberg chains under external magnetic fields. The associated fractional quantization scenario and the exponents which characterize the opening of…

Strongly Correlated Electrons · Physics 2009-10-31 Daniel C. Cabra , Marcelo D. Grynberg

We obtain the variational upper bound for the ground- state energy of two-dimensional antiferromagnetic Heisenberg model on a square lattice at arbitrary value of the anisotropy parameter using the two-dimensional generalization of…

Condensed Matter · Physics 2007-05-23 A. A. Ovchinnikov

In this paper we propose an anisotropic extension of the isotropic exponentiated Hencky energy, based on logarithmic strain invariants. Unlike other elastic formulations, the isotropic exponentiated Hencky elastic energy has been derived…

Computational Engineering, Finance, and Science · Computer Science 2017-10-10 Jörg Schröder , Markus von Hoegen , Patrizio Neff

We use non-perturbative linked-cluster expansions to determine the ground-state energy per site of the spin-one Heisenberg model on the kagome lattice. To this end, a parameter is introduced allowing to interpolate between a fully…

Strongly Correlated Electrons · Physics 2015-12-09 D. Ixert , T. Tischler , K. P. Schmidt

We describe an application of the linear $\de$-expansion to the calculation of correlation functions in SU(2)-Higgs lattice gauge theory. A significant advantage of the technique is that an infinite volume lattice may be used, allowing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , H. F. Jones , A. Ritz

A novel, exact, theoretical method for the study of the excited states of a system is presented. It is demonstrated how to transform the excited state problem of one Hamiltonian into the ground state problem of an auxiliary one. From this,…

Quantum Physics · Physics 2012-06-22 Ramón Alain Miranda Quintana

The two dimensional Heisenberg antiferromagnet on the square lattice with nearest (J1) and next-nearest (J2) neighbor couplings is investigated in the strong frustration regime (J2/J1>1/2). A new effective field theory describing the long…

Strongly Correlated Electrons · Physics 2009-11-11 V. Lante , A. Parola

We study the ground state and low-lying excited states of the Kitaev-Heisenberg model on a ladder geometry using the density matrix renormalization group and Lanczos exact diagonalization methods. The Kitaev and Heisenberg interactions are…

Strongly Correlated Electrons · Physics 2019-06-19 Cliò Efthimia Agrapidis , Jeroen van den Brink , Satoshi Nishimoto

An analytic calculation of the photon mass gap M of compact U(1)_{2+1} in the Hamiltonian formalism is performed utilizing the first four Hamiltonian moments with respect to a one-plaquette mean field state in the plaquette expansion…

High Energy Physics - Lattice · Physics 2015-06-25 John A. L. McIntosh , Lloyd C. L. Hollenberg

Here we generate finite bipartite body-centred cubic lattices up to 32 vertices. We have studied the spin one half Heisenberg antiferromagnet by diagonalizing its Hamiltonian on each of the finite lattices and hence computing its ground…

Condensed Matter · Physics 2009-10-31 D. D. Betts , J. Schulenburg , G. E. Stewart , J. Richter , J. S. Flynn

Generally, ``fracton'' topological orders are referred to as gapped phases that support \textit{point-like topological excitations} whose mobility is, to some extent, restricted. In our previous work [Phys. Rev. B 101, 245134 (2020)], a…

Strongly Correlated Electrons · Physics 2021-12-16 Meng-Yuan Li , Peng Ye

We use exact diagonalization and the modified Lanczos method to study the finite energy and finite momentum spectral weight of the longitudinal and transverse spin excitations of the anisotropic zig-zag ladder. We find that the spin…

Strongly Correlated Electrons · Physics 2009-11-07 P. D. Sacramento , V. R. Vieira

The density of states and the optical conductivity of the doped Hubbard model on a Bethe lattice with infinite connectivities have been studied using an analytic variant of the Lanczos continued fraction method. The spectral weight of the…

Condensed Matter · Physics 2015-06-25 Hae-Young Kee , Jongbae Hong

We address the problem of determining the critical equation of state of three-dimensional XY systems. For this purpose we first consider the small-field expansion of the effective potential (Helmholtz free energy) in the high-temperature…

Statistical Mechanics · Physics 2011-07-19 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

We compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of…

Statistical Mechanics · Physics 2016-08-31 M. Caselle , M. Hasenbusch , A. Pelissetto , E. Vicari