researcher

B. Nachtergaele

81 papers hereh-index 314.8k citations184 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author8
first author31
middle author20
last author21

Across the 80 of 81 papers where every author was matched, so the position is known.

fields

math-ph63
cond-mat6
cond-mat.stat-mech3
quant-ph3
cond-mat.str-el2
cs.IT1

same name

B. Nachtergaele — 4 papers, h 2

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity

19932026

most citedLieb-Robinson Bounds and the Exponential Clustering Theorem

418 citations · 2.2k across the 78 of their papers we have counts for

collaborators

Showing 1995Show all

2 papers · 1 filter

cond-mat1995★ 21 cited

The spectral gap of the ferromagnetic XXZ chain

Tohru Koma, Bruno Nachtergaele

We prove that the spectral gap of the spin-1/2 ferromagnetic XXZ chain with Hamiltonian $H = - \sum_{x} S_{x}^{(1)} S_{x + 1}^{(1)} + S_{x}^{(2)} S_{x + 1}^{(2)} + Δ S_{x}^{(3)} S_{x + 1}^{(3)}$ , is given…

cond-mat1995★ 1 cited

Bounds on the mass gap of the ferromagnetic XXZ chain

Bruno Nachtergaele

We prove rigorous lower and upper bounds for the mass gap of the ferromagnetic spin 1/2 XXZ chain. The two bounds coincide asymptotically in the Ising limit $Δ \to \infty$ . Near the…

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Data

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.