534 citations · 3.1k across the 80 of their papers we have counts for
80 papers
Spin Quantum Hall Effect: the Critical Exponents
Hrant Topchyan, Win Nuding, Andreas Klümper +1
The spin quantum Hall effect (SQHE) provides one of the few examples of an Anderson localization transition for which exact critical exponents are known, making it an important tes…
Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
Ovidiu I. Patu, Andreas Klumper, Angela Foerster
Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinan…
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…
Canonical formulation for the thermodynamics of -invariant integrable spin chains
T. S. Tavares, I. R. Passos, A. Klümper
Integrable quantum spin chains display distinctive physical properties making them a laboratory to test and assess different states of matter. The study of the finite temperature p…
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 basis for qubits and spin-helix decay
Vladislav Popkov, Xin Zhang, Frank Göhmann +1
We propose a qubit basis composed of transverse spin helices with kinks. Unlike the usual computational basis, this chiral basis is well suited for describing quantum states with n…
Critical site percolation on the triangular lattice: From integrability to conformal partition functions
Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce
Critical site percolation on the triangular lattice is described by the Yang-Baxter solvable dilute loop model with crossing parameter specialized to , cor…
On the partition function of the integrable vertex model
G. A. P. Ribeiro, A. Klümper, P. A. Pearce
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under symmetry. We establish a set o…
Non-linear Transport by Bethe Bound States
A. Urichuk, A. Klümper, J. Sirker
We consider non-linear ballistic spin transport in the XXZ spin chain and derive an analytical result for the non-linear Drude weight at infinite temperatures. In contras…
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…
Universality and quantum criticality of the one-dimensional spinor Bose gas
Ovidiu I. Patu, Andreas Klumper, Angela Foerster
We investigate the universal thermodynamics of the two-component one-dimensional Bose gas with contact interactions in the vicinity of the quantum critical point separating the vac…
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…
Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)Br: An experimental and theoretical study
J. Zeisner, M. Brockmann, S. Zimmermann +9
We compare theoretical results for electron spin resonance (ESR) properties of the Heisenberg-Ising Hamiltonian with ESR experiments on the quasi-one-dimensional magnet Cu(py)B…
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…
Oscillator versus prefundamental representations II. Arbitrary higher ranks
H. Boos, F. Göhmann, A. Klümper +2
We find the -weights and the -weight vectors for the highest -weight -oscillator representations of the positive Borel subalgebra of the quantum loop algebra $…
Exact probability distribution functions for Parrondo's games
Rubina Zadourian, David B Saakian, Andreas Klumper
We consider discrete time Brownian ratchet models: Parrondo's games. Using the Fourier transform, we calculate the exact probability distribution functions for both the capital dep…
Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
Ilya Gruzberg, Andreas Kluemper, Win Nuding +1
Recent high-precision results for the critical exponent of the localization length at the integer quantum Hall (IQH) transition differ considerably between experimental ($ν_\text{e…
Matrix product states for invariant quantum spin chains
Rubina Zadourian, Andreas Fledderjohann, Andreas Klümper
A systematic and compact treatment of arbitrary invariant spin- quantum chains with nearest-neighbour interactions is presented. The ground-state is derived in terms of…
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…
Oscillator versus prefundamental representations
H. Boos, F. Göhmann, A. Klümper +2
For the case of quantum loop algebras with we find the -weights and the corresponding -weight vectors for th…
Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
Ovidiu I. Patu, Andreas Klumper
We address the problem of computing the thermodynamic properties of the repulsive one-dimensional two-component Fermi gas with contact interaction, also known as the Gaudin-Yang mo…
Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
Ovidiu I. Patu, Andreas Klumper
We investigate the finite temperature properties of the one-dimensional two-component Bose gas (2CBG) with repulsive contact interaction in a harmonic trap. Making use of a new lat…
Quantum groups and functional relations for lower rank
Kh. S. Nirov, A. V. Razumov
A detailed construction of the universal integrability objects related to the integrable systems associated with the quantum group is giv…
Temperature-driven crossover in the Lieb-Liniger model
Andreas Klumper, Ovidiu I. Patu
The large-distance behavior of the density-density correlation function in the Lieb-Liniger model at finite temperature is investigated by means of the recently derived nonlinear i…