Andreas Klümper
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View article: Games Between Players With Dual‐Selves
Games Between Players With Dual‐Selves Open
Human decision making often seems to be determined by the resolution of intrapersonal conflict. This paper conceptualizes the analysis of decisions governed by such dual‐self processes in individual decision contexts and strategic interact…
View article: Ballistic particle transport and Drude weight in gases
Ballistic particle transport and Drude weight in gases Open
Owing to the fact that the particle current operator in non-relativistic gases is proportional to the total momentum operator, the particle transport in such systems is always ballistic and fully characterized by a Drude weight $Δ$. The Dr…
View article: Harris-Luck criterion in the plateau transition of the integer quantum Hall effect
Harris-Luck criterion in the plateau transition of the integer quantum Hall effect Open
The Harris criterion imposes a constraint on the critical behavior of a system upon introduction of new disorder, based on its dimension d and localization length exponent ν. It states that the new disorder can be relevant only if dν<2. We…
View article: Non-linear integral equations for the XXX spin-1/2 quantum chain with non-diagonal boundary fields
Non-linear integral equations for the XXX spin-1/2 quantum chain with non-diagonal boundary fields Open
The XXX spin-$\frac{1}{2}$ Heisenberg chain with non-diagonal boundary fields represents a cornerstone model in the study of integrable systems with open boundaries. Despite its significance, solving this model exactly has remained a formi…
View article: Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models
Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models Open
Yang-Baxter integrable dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models are considered on the torus in their simplest physical regimes. A combination of boundary conditions $(h,v)$ is applied in the horizontal and vertical directions w…
View article: Managing singular kernels and logarithmic corrections in the staggered six-vertex model
Managing singular kernels and logarithmic corrections in the staggered six-vertex model Open
A bstract In this paper, we investigate the spectral properties of the staggered six-vertex model with $$ {\mathcal{Z}}_2 $$ symmetry for arbitrary system sizes L using non-linear integral equations (NLIEs). Our study is motivated by t…
View article: Chiral eigenbases of the XX and XY quantum spin chains
Chiral eigenbases of the XX and XY quantum spin chains Open
We calculate the values of observables in chiral eigenstates of the XX quantum spin chain that were introduced in previous work and compare the form of the result with the respective expressions obtained in the more familiar eigenbasis of …
View article: Harris-Luck criterion in the plateau transition of the Integer Quantum Hall Effect
Harris-Luck criterion in the plateau transition of the Integer Quantum Hall Effect Open
The Harris criterion imposes a constraint on the critical behavior of a system upon introduction of new disorder, based on its dimension $d$ and localization length exponent $ν$. It states that the new disorder can be relevant only if $d ν…
View article: Integer quantum Hall transition: An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>-matrix approach to random networks
Integer quantum Hall transition: An -matrix approach to random networks Open
In this paper we propose an S-matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work [I. A. Gruzberg, A. Klümper, W. Nuding, and A. Sedrakyan, ]. Random networks are m…
View article: Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model Open
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 determinant representations for the space-, time-, and temperature-de…
View article: Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model
Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model Open
In this paper, we investigate the spectral properties of the staggered six-vertex model with ${\cal Z}_2$ symmetry for arbitrary system sizes $L$ using non-linear integral equations (NLIEs). Our study is motivated by two key questions: wha…
View article: Canonical formulation for the thermodynamics of sl-invariant integrable spin chains
Canonical formulation for the thermodynamics of sl-invariant integrable spin chains Open
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 properties is possible by use of the thermodynamic Bethe ans…
View article: A Pedestrian's Way to Baxter's Bethe Ansatz for the Periodic XYZ Chain
A Pedestrian's Way to Baxter's Bethe Ansatz for the Periodic XYZ Chain Open
A chiral coordinate Bethe ansatz method is developed to study the periodic XYZ chain. We construct a set of chiral vectors with fixed number of kinks. All vectors are factorized and have simple structures. Under roots of unity conditions, …
View article: Thermodynamics based on Neural Networks
Thermodynamics based on Neural Networks Open
We present three different neural network algorithms to calculate thermodynamic properties as well as dynamic correlation functions at finite temperatures for quantum lattice models. The first method is based on purification, which allows …
View article: Canonical formulation for the thermodynamics of $sl_n$-invariant integrable spin chains
Canonical formulation for the thermodynamics of $sl_n$-invariant integrable spin chains Open
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 properties is possible by use of the thermodynamic Bethe ans…
View article: Chiral basis for qubits and spin-helix decay
Chiral basis for qubits and spin-helix decay Open
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 nontrivial topology. Choosing appropriate parameters the ope…
View article: Critical site percolation on the triangular lattice: From integrability to conformal partition functions
Critical site percolation on the triangular lattice: From integrability to conformal partition functions Open
Critical site percolation on the triangular lattice is described by the Yang-Baxter solvable dilute $A_2^{(2)}$ loop model with crossing parameter specialized to $λ=\frac\pi3$, corresponding to the contractible loop fugacity $β=-2\cos4λ=1$…
View article: On the partition function of the <i>Sp</i> (4) integrable vertex model
On the partition function of the <i>Sp</i> (4) integrable vertex model Open
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under Sp (4) symmetry. We establish a set of functional relations which include a transfer matrix inver…
View article: Nonlinear Transport by Bethe Bound States
Nonlinear Transport by Bethe Bound States Open
We consider nonlinear ballistic spin transport in the XXZ spin chain and derive an analytical result for the nonlinear Drude weight D^{(3)} at infinite temperatures. In contrast to the linear Drude weight D^{(1)}, we find that the result n…
View article: Invariant subspaces and explicit Bethe vectors in the integrable open spin $1/2$ $\XYZ$ chain
Invariant subspaces and explicit Bethe vectors in the integrable open spin $1/2$ $\XYZ$ chain Open
We derive a criterion under which splitting of all eigenstates of an open $\XYZ$ Hamiltonian with boundary fields into two invariant subspaces, spanned by chiral shock states, occurs. The splitting is governed by an integer number, which h…
View article: Phantom Bethe excitations and spin helix eigenstates in integrable periodic and open spin chains
Phantom Bethe excitations and spin helix eigenstates in integrable periodic and open spin chains Open
We demonstrate the existence of special phantom excitations for open and\nperiodically closed integrable systems at the example of the $XXZ$ Heisenberg\nspin chain. The phantom excitations do not contribute to the energy of the\nBethe stat…
View article: Analytical results for the low-temperature Drude weight of the XXZ spin chain
Analytical results for the low-temperature Drude weight of the XXZ spin chain Open
The spin-$1/2$ XXZ chain is an integrable lattice model and parts of its spin\ncurrent can be protected by local conservation laws for anisotropies\n$-1<\\Delta<1$. In this case, the Drude weight $D(T)$ is non-zero at finite\ntemperatures …
View article: Groundstate finite-size corrections and dilogarithm identities for the twisted \n\t A1(1)\n\t , \n\t A2(1)\n\t and \n\t A2(2)\n\t models
Groundstate finite-size corrections and dilogarithm identities for the twisted \n\t A1(1)\n\t , \n\t A2(1)\n\t and \n\t A2(2)\n\t models Open
We consider the Y -systems satisfied by the A(1)1, A(1)2, A(2)2 vertex and loop models at roots of unity with twisted boundary conditions on the cylinder. The vertex models are the 6-, 15- and Izergin-Korepin 19-vertex models respectively.…
View article: Critical behavior at the integer quantum Hall transition in a network model on the kagome lattice
Critical behavior at the integer quantum Hall transition in a network model on the kagome lattice Open
We study a network model on the Kagome lattice (NMKL). This model generalizes\nthe Chalker-Coddington (CC) network model for the integer quantum Hall\ntransition. Unlike random network models we studied earlier, the geometry of\nthe Kagome…
View article: Groundstate finite-size corrections and dilogarithm identities for the\n twisted $A_1^{(1)}$, $A_2^{(1)}$ and $A_2^{(2)}$ models
Groundstate finite-size corrections and dilogarithm identities for the\n twisted $A_1^{(1)}$, $A_2^{(1)}$ and $A_2^{(2)}$ models Open
We consider the $Y$-systems satisfied by the $A_1^{(1)}$, $A_2^{(1)}$,\n$A_2^{(2)}$ vertex and loop models at roots of unity with twisted boundary\nconditions on the cylinder. The vertex models are the 6-, 15- and\nIzergin-Korepin 19-verte…
View article: Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field Open
Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed investiga…
View article: Random network models with variable disorder of geometry
Random network models with variable disorder of geometry Open
Recently it was shown (I.A.Gruzberg, A. Kl\\"umper, W. Nuding and A.\nSedrakyan, Phys.Rev.B 95, 125414 (2017)) that taking into account random\npositions of scattering nodes in the network model with $U(1)$ phase disorder\nyields a localiz…
View article: The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study
The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study Open
The Drude weight for the spin transport of the spin-1/2 $XXZ$ Heisenberg chain in the critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic Bethe ansatz with the functional relations of type $Y$-system …
View article: Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture Open
We investigate the one-dimensional mixture of scalar bosons and spin polarized fermions interacting through a $\delta$-function potential. Using a thermodynamic description derived by employing a lattice embedding of the continuum model an…