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Low Temperature Lanczos Method

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Markus Aichhorn, Maria Daghofer, Hans Gerd Evertz, Wolfgang von der Linden

Strongly Correlated Electrons · Submitted 8 Nov 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Together they allow accurate calculations at any temperature with moderate effort.

how it is stated · asserted 1.00 read the record →

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arXiv IDcond-mat/0211165 (version 1)
Pith IDKIRQUCFC, Pith's permanent record of this paper and its review
CitationHans Gerd Evertz, Maria Daghofer, Markus Aichhorn, Wolfgang von der Linden. "Low Temperature Lanczos Method." arXiv:cond-mat/0211165 (2002). https://pith.science/paper/KIRQUCFC
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,639 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.86 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present a modified finite temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite temperature method (FTLM) introduced by Jaklic and Prelovsek for low temperatures. Together they allow accurate calculations at any temperature with moderate effort. As an example we calculate the static spin correlation function and the regular part of the optical conductivity of the one dimensional Hubbard model at half-filling and show in detail the connection between the ground state and finite temperature method. By using Cluster Perturbation Theory (CPT), the finite temperature spectral function is extended to the infinite system, clearly exhibiting the effects of spin-charge separation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present a modified finite temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite temperature method (FTLM) introduced by Jaklic and Prelovsek for low temperatures. contribution 0.99 0.89 0.31 asserted 1.00
s1 Together they allow accurate calculations at any temperature with moderate effort. interpretation 0.41 0.45 0.37 asserted 1.00
s2 As an example we calculate the static spin correlation function and the regular part of the optical conductivity of the one dimensional Hubbard model at half-filling and show in detail the connection between the ground state and finite temperature method. contribution 0.61 0.95 0.15 asserted 1.00
s3 By using Cluster Perturbation Theory (CPT), the finite temperature spectral function is extended to the infinite system, clearly exhibiting the effects of spin-charge separation. method 0.46 0.83 0.16 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We present a modified finite temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite temperature method (FTLM) introduced by Jaklic and Prelovsek for low temperatures. Together they allow accurate calculations at any temperature with moderate effort. As an example we calculate the static spin correlation function and the regular part of the optical conductivity of the one dimensional Hubbard model at half-filling and show in detail the connection between the ground state and finite temperature method. By using Cluster Perturbation Theory (CPT), the finite temperature spectral function is extended to the infinite system, clearly exhibiting the effects of spin-charge separation.

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