534 citations · 3.1k across the 80 of their papers we have counts for
23 papers · 1 filter
Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model
Mouhcine Azhari, Andreas Klümper
In this paper, we investigate the spectral properties of the staggered six-vertex model with symmetry for arbitrary system sizes using non-linear integral equation…
Thermodynamics based on Neural Networks
D. Wagner, A. Klümper, J. Sirker
We present three different neural network algorithms to calculate thermodynamic properties as well as dynamic correlation functions at finite temperatures for quantum lattice model…
Chiral coordinate Bethe ansatz for phantom eigenstates in the open XXZ spin- chain
Xin Zhang, Andreas Kluemper, Vladislav Popkov
We construct the coordinate Bethe ansatz for all eigenstates of the open spin- XXZ chain that fulfill the phantom roots criterion (PRC). Under the PRC, the Hilbert space s…
Thermal form-factor approach to dynamical correlation functions of integrable lattice models
Frank Göhmann, Michael Karbach, Andreas Klümper +2
We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang-Baxter type. The method is based on an expansion of t…
Conformal partition functions of critical percolation from Thermodynamic Bethe Ansatz equations
Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce
Using the planar Temperley-Lieb algebra, critical bond percolation on the square lattice is incorporated as in the family of Yang-Baxter integrable logarithmic min…
Exact probability distribution functions for Parrondo's games
Rubina Zadourian, David B Saakian, Andreas Klumper
We consider discrete time Brownian ratchet models: Parrondo's games. Using the Fourier transform, we calculate the exact probability distribution functions for both the capital dep…
Correlation functions of the integrable spin-s chain
G. A. P. Ribeiro, A. Klümper
We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function fo…
Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
Andreas Klümper, Dominic Nawrath, Junji Suzuki
We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the…
Finite temperature correlation functions from discrete functional equations
Britta Aufgebauer, Andreas Klümper
We present a new approach to the static finite temperature correlation functions of the Heisenberg chain based on functional equations. An inhomogeneous generalization of the n-sit…
Diagrammatics for SU(2) invariant matrix product states
Andreas Fledderjohann, Andreas Klümper, Karl-Heinz Mütter
We report on a systematic implementation of su(2) invariance for matrix product states (MPS) with concrete computations cast in a diagrammatic language. As an application we presen…
Efficient Thermodynamic Description of Multi-Component One-Dimensional Bose Gases
Andreas Klumper, Ovidiu I. Patu
We present a new method of obtaining nonlinear integral equations characterizing the thermodynamics of one-dimensional multi-component gases interacting via a delta-function potent…
The complete conformal spectrum of a invariant network model and logarithmic corrections
Britta Aufgebauer, Michael Brockmann, Win Nuding +2
We investigate the low temperature asymptotics and the finite size spectrum of a class of Temperley-Lieb models. As reference system we use the spin-1/2 Heisenberg chain with aniso…
Quantum spin chains of Temperley-Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature
Britta Aufgebauer, Andreas Kluemper
We determine the spectra of a class of quantum spin chains of Temperley-Lieb type by utilizing the concept of Temperley-Lieb equivalence with the S=1/2 XXZ chain as a reference sys…
Thermodynamics and short-range correlations of the XXZ chain close to its triple point
Christian Trippe, Frank Göhmann, Andreas Klümper
The XXZ quantum spin chain has a triple point in its ground state - phase diagram. This first order critical point is located at the joint end point of the two second order…
The thermal conductivity of alternating spin chains
G. A. P. Ribeiro, N. Crampe, A. Klümper
We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the…
Density matrices for finite segments of Heisenberg chains of arbitrary length
Jens Damerau, Frank Göhmann, Nils P. Hasenclever +1
We derive a multiple integral representing the ground state density matrix of a segment of length of the XXZ spin chain on lattice sites, which depends on only parametr…
Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model
Jens Damerau, Andreas Klümper
We derive a finite set of nonlinear integral equations (NLIE) for the thermodynamics of the one-dimensional sl(4)-symmetric Uimin-Sutherland model. Our NLIE can be evaluated numeri…
Structural and magnetic instabilities of layered magnetic systems
Carsten Aits, Ute Löw, Andreas Klümper +1
We present a study of the magnetic order and the structural stability of two-dimensional quantum spin systems in the presence of spin-lattice coupling. For a square lattice it is s…
Non-dissipative Thermal Transport and Magnetothermal Effect for the Spin-1/2 Heisenberg Chain
Kazumitsu Sakai, Andreas Klumper
Anomalous magnetothermal effects are discussed in the spin-1/2 Heisenberg chain. The energy current is related to one of the non-trivial conserved quantities underlying integrabili…
Emptiness formation probability at finite temperature for the isotropic Heisenberg chain
F. Göhmann, A. Klümper, A. Seel
We present an integral formula for a special correlation function of the isotropic spin-1/2 antiferromagnetic Heisenberg chain. The correlation function describes the probability f…
The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
Andreas Kluemper, Kazumitsu Sakai
Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results fo…
Temperature dependent spatial oscillations in the correlations of the XXZ spin chain
Klaus Fabricius, Andreas Klümper, Barry M. McCoy
We study the correlation for the XXZ chain in the massless attractive (ferromagnetic) region at positive temperatures by means of a numerical study of the quantum tr…
Anti-Symmetrically Fused Model and Non-Linear Integral Equations in the Three-State Uimin-Sutherland Model
Akira Fujii, Andreas Kluemper
We derive the non-linear integral equations determining the free energy of the three-state pure bosonic Uimin-Sutherland model. In order to find a complete set of auxiliary functio…