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We calculate the low-lying part of the spectrum of the $Z_3$-symmetrical chiral Potts quantum chain in its self-dual and integrable versions, using numerical diagonalisation of the hamiltonian for $N \leq 12$ sites and extrapolation $N \ra…

高能物理 - 理论 · 物理学 2007-05-23 G. von Gehlen

We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general…

高能物理 - 理论 · 物理学 2009-10-28 A. Honecker , G. von Gehlen

Several density-matrix renormalization group methods have been proposed to compute the momentum- and frequency-resolved dynamical correlation functions of low-dimensional strongly correlated systems. The most relevant approaches are…

强关联电子 · 物理学 2009-01-28 Eric Jeckelmann

Using perturbative methods we derive new results for the spectrum and correlation functions of the general Z_3-chiral Potts quantum chain in the massive low-temperature phase. Explicit calculations of the ground state energy and the first…

高能物理 - 理论 · 物理学 2009-10-22 N. S. Han , A. Honecker

The massive high-temperature phase of the chiral Potts quantum chain is studied using perturbative methods. For the Z_3-chain we present high-temperature expansions for the groundstate energy and the dispersion relations of the two…

高能物理 - 理论 · 物理学 2009-09-25 A. Honecker

Using the recently developed density matrix renormalization group approach, we study the correlation function of the spin-1 chain with quadratic and biquadratic interactions. This allows us to define and calculate the periodicity of the…

凝聚态物理 · 物理学 2009-10-22 R. J. Bursill , T. Xiang , G. A. Gehring

The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200…

统计力学 · 物理学 2009-10-31 T. Hikihara , A. Furusaki

We report a real-space renormalization group (RSRG) algorithm, which is formulated through Baxter's corner transfer matrix (CTM), for two-dimensional (d = 2) classical lattice models. The new method performs the renormalization group…

统计力学 · 物理学 2008-02-03 Tomotoshi Nishino , Kouichi Okunishi

We derive an analog of the master equation obtained recently for correlation functions of the XXZ chain for a wide class of quantum integrable systems described by the R-matrix of the six-vertex model, including in particular continuum…

高能物理 - 理论 · 物理学 2011-02-16 N. Kitanine , K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We exploit the identification between the critical theory of the 3-state Potts model and the D_5 conformal model. This allows us to determine all 3-point correlations involving the fields associated with the Potts order parameter and the…

凝聚态物理 · 物理学 2007-05-23 John McCabe , Tomasz Wydro

We developed a density matrix renormalization-group technique to study quantum Hall fractions of fast rotating bosons. In this paper we present a discussion of the method together with the results which we obtain in three distinct cases of…

强关联电子 · 物理学 2010-03-31 D. L. Kovrizhin

Properties of the zigzag spin chains with various nearest-neighbor and next-nearest-neighbor interactions are studied by making use of the transfer-matrix renormalization group method. Thermodynamic quantities of the systems (temperature…

强关联电子 · 物理学 2009-11-11 H. T. Lu , Y. J. Wang , Shaojin Qin , T. Xiang

We show that the Renormalization Group formalism allows to compute with accuracy the zero temperature correlation functions and particle densities of quantum systems.

量子物理 · 物理学 2009-11-06 Pierre Gosselin , Herve Mohrbach

We use the density-matrix renormalization group technique developed by White \cite{white} to calculate the spin correlation functions $<{S}_{n+l}^z{S}_n^z>=(-1)^l \omega(l,N)$ for isotropic Heisenberg rings up to $N=70$ sites. The…

凝聚态物理 · 物理学 2009-10-28 K. A. Hallberg , P. Horsch , G. Martinez

A useful concept for finding numerically the dominant correlations of a given ground state in an interacting quantum lattice system in an unbiased way is the correlation density matrix. For two disjoint, separated clusters, it is defined to…

强关联电子 · 物理学 2015-05-14 W. Münder , A. Weichselbaum , A. Holzner , J. von Delft , C. L. Henley

We consider the interaction-round-a-face version of the isotropic six-vertex model. The associated spin chain is made of two coupled Heisenberg spin chains with different boundary twists. The phase diagram of the model and the long distance…

数学物理 · 物理学 2024-09-10 T. S. Tavares , G. A. P. Ribeiro

We show that the high-temperature expansion of the free energy and arbitrary imaginary-time-ordered connected correlation functions of quantum spin systems can be recursively obtained from the exact renormalization group flow equation for…

强关联电子 · 物理学 2024-10-15 Andreas Rückriegel , Dmytro Tarasevych , Jan Krieg , Peter Kopietz

We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms. We train and test a machine-learned…

强关联电子 · 物理学 2016-12-28 Li Li , Thomas E. Baker , Steven R. White , Kieron Burke

We present a detailed study of the finite temperature dynamical properties of the quantum Potts model in one dimension.Quasiparticle excitations in this model have internal quantum numbers, and their scattering matrix {\gf deep} in the…

强关联电子 · 物理学 2009-11-11 Akos Rapp , Gergely Zarand

We study spin chirality for a spin-1/2 zigzag XY chain at low temperature by applying a low-temperature density-matrix renormalization group technique. We calculate temperature dependence of dynamical and static correlations of the…

强关联电子 · 物理学 2010-08-27 Takanori Sugimoto , Shigetoshi Sota , Takami Tohyama
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