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The pseudospin-electron model in the case of infinite on-site electron repulsion is investigated. The electron energy spectrum is calculated within the framework of the dynamical mean field theory (DMFT), and the alloy analogy approximation…

Strongly Correlated Electrons · Physics 2013-02-07 I. V. Stasyuk , V. O. Krasnov

Generally, the local interactions in a many-body quantum spin system on a lattice do not commute with each other. Consequently, the Hamiltonian of a local region will generally not commute with that of the entire system, and so the two…

Quantum Physics · Physics 2016-04-11 Itai Arad , Tomotaka Kuwahara , Zeph Landau

We improved the decoupling approximation of the double-time Green's function theory, and applied it to study the spin-${1\over 2}$ two-dimensional antiferromagnetic Heisenberg model with broken bonds at finite temperature. Our decoupling…

Strongly Correlated Electrons · Physics 2009-10-31 Yun Song , H. Q. Lin , Jue-Lian Shen

We study the magnetic properties of $S=1/2$ antiferromagnetic Heisenberg chains with inhomogeneity of interaction. Using a quantum Monte Carlo method and an exact diagonalization method, we study bond-impurity effect in the uniform $S=1/2$…

Statistical Mechanics · Physics 2009-10-31 Masamichi Nishino , Hiroaki Onishi , Pascal Roos , Kizashi Yamaguchi , Seiji Miyashita

For a quantum mechanical system with broken supersymmetry, we present a simple method of determining the ground state when the corresponding energy eigenvalue is sufficiently small. A concise formula is derived for the approximate ground…

High Energy Physics - Theory · Physics 2009-11-10 Min-Young Choi , Choonkyu Lee

To check the reliability of the Majorana representation of quantum spin systems, we use it to compute the ground state energy of an antiferromagnetic spin 1/2 chain to one loop order. We find a very small one loop correction of the mean…

Strongly Correlated Electrons · Physics 2008-02-03 D. Foerster

We study spin transport in nonitinerant one-dimensional quantum spin chains. Motivated by possible applications in spintronics, we consider rectification effects in both ferromagnetic and antiferromagnetic systems. We find that the crucial…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Kevin A. van Hoogdalem , Daniel Loss

In this paper, we study the localized states of a generic quadratic fermionic chain with finite-range couplings and an inhomogeneity in the hopping (defect) that breaks translational invariance. When the hopping of the defect vanishes,…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Filiberto Ares , José G. Esteve , Fernando Falceto

We study the ground state properties of the Heisenberg spin-1/2 chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions using two approximate methods. One of them is the Jordan-Wigner mean-field…

Strongly Correlated Electrons · Physics 2009-11-11 D. V. Dmitriev , V. Ya. Krivnov

Energy versus magnetic-field diagram of the spin-$1$ Haldane system with an impurity bond is studied in terms of spin-1/2 degree of freedom at the sites neighboring the impurity bond by means of analytical method. We examine the equivalence…

Condensed Matter · Physics 2009-10-22 M. Kaburagi , T. Tonegawa

We prove that estimating the ground state energy of a translationally-invariant, nearest-neighbour Hamiltonian on a 1D spin chain is QMAEXP-complete, even for systems of low local dimension (roughly 40). This is an improvement over the best…

Quantum Physics · Physics 2017-11-15 Johannes Bausch , Toby Cubitt , Maris Ozols

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

The energy spectrum of Dicke Hamiltonians with and without the rotating wave approximation for arbitrary atom-number is obtained analytically with the variational method, in which the effective pseudo-spin Hamiltonian resulted from the…

Quantum Physics · Physics 2012-06-25 Jinling Lian , Yuanwei Zhang , J. -Q. Liang

The manifestations of topological effects in finite antiferromagnetic Heisenberg chains is examined by density matrix renormalization group technique in this paper. We find that difference between integer and half-integer spin chains shows…

Strongly Correlated Electrons · Physics 2009-10-31 Jizhong Lou , Shaojin Qin , Tai-Kai Ng , Zhaobin Su

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

An effective quantum parameter is obtained for the band ferromagnet in terms of orbital degeneracy and Hund's coupling. This quantum parameter determines, in analogy with 1/N for the generalized Hubbard model and 1/S for quantum spin…

Strongly Correlated Electrons · Physics 2010-10-22 Bhaskar Kamble , Avinash Singh

The introduction of modified bond-defects in spin-Peierls systems is investigated in a model of antiferromagnetic Heisenberg spin chains coupled to adiabatic phonons. Generically, new low-energy magnetic or non-magnetic excitations appear…

Statistical Mechanics · Physics 2009-10-31 D. Augier , J. Riera , D. Poilblanc

We present an improved upper bound for the ground state energy of lattice fermion models with sign problem. The bound can be computed by numerical simulation of a recently proposed family of deformed Hamiltonians with no sign problem. For…

High Energy Physics - Lattice · Physics 2009-11-07 Matteo Beccaria

The entanglement properties in an antiferromagnetic dimerized Heisenberg spin-1/2 chain are investigated. The entanglement gap, which is the difference between the ground-state energy and the minimal energy that any separable state can…

Quantum Physics · Physics 2008-03-07 Xiang Hao , Shiqun Zhu

We investigate the antiadiabatic limit of an antiferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons via a bond coupling. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Ute Löw , Götz S. Uhrig , Rainer W. Kühne