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Journal ArticleDOI

Zur Theorie der Metalle

Hans A. Bethe
- 01 Mar 1931 - 
- Vol. 71, Iss: 3, pp 205-226
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TLDR
In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz
Abstract
Es wird eine Methode angegeben, um die Eigenfunktionen nullter und Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London und Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron mit Spin besitzt. Neben den „Spinwellen“ von Bloch treten Eigenfunktionen auf, bei denen die nach einer Richtung weisenden Spins moglichst an dicht benachbarten Atomen zu sitzen suchen; diese durften fur die Theorie des Ferromagnetismus von Wichtigkeit sein.

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The resonating valence bond state in La2CuO4 and superconductivity

TL;DR: The oxide superconductors, particularly those recently discovered that are based on La2CuO4, have a set of peculiarities that suggest a common, unique mechanism: they tend in every case to occur near a metal-insulator transition into an odd-electron insulator with peculiar magnetic properties.
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Two soluble models of an antiferromagnetic chain

TL;DR: In this article, two genuinely quantum models for an antiferromagnetic linear chain with nearest neighbor interactions are constructed and solved exactly, in the sense that the ground state, all the elementary excitations and the free energy are found.
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Entanglement in many-body systems

TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.
Journal ArticleDOI

The density-matrix renormalization group in the age of matrix product states

TL;DR: This paper gives a detailed exposition of current DMRG thinking in the MPS language in order to make the advisable implementation of the family of D MRG algorithms in exclusively MPS terms transparent.
Journal ArticleDOI

The density-matrix renormalization group in the age of matrix product states

TL;DR: The density matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems as mentioned in this paper.