Quantum criticality: a glimpse of a Luttinger liquid.

2005/04/01 by Igor Zaliznyak, Igor A. Zaliznyak · 19 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Criticality #Luttinger liquid #Materials science #Nanotechnology #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.str-el

paper · pdf · open access · doi:10.1038/nmat1358

published in PubMed 4(4), 273-5 (National Institutes of Health) · Unedited version of N&V article in Nature materials 4, 273 (2005)

openalex publication_date 2005/04/01 · arxiv created 2005/04/14 · arxiv updated 2010/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concept of a Luttinger liquid has recently been established as vital to our understanding of the behaviour of one-dimensional quantum systems. Although this has led to a number of theoretical breakthroughs, only now has its descriptive power been confirmed experimentally.

Citations

• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-12Heisenberg antiferromagnets
• Infinite conformal symmetry in two-dimensional quantum field theory
• Conformal invariance and universality in finite-size scaling
• Exact Solution of a Many-Fermion System and Its Associated Boson Field

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