Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities
In this work we consider several exactly solvable models of magnetic impurities in critical quantum antiferromagnetic spin chains and multichannel Kondo impurities. Their ground state properties are studied and the finite set of nonlinear integral equations, which exactly describe the thermodynamics...
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| Datum: | 2002 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2002
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| Zitieren: | Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities / A.A. Zvyagin // Физика низких температур. — 2002. — Т. 28, № 12. — С. 1274-1291. — Бібліогр.: 68. назв. — англ. |
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Zvyagin, A.A. 2018-01-13T19:16:53Z 2018-01-13T19:16:53Z 2002 Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities / A.A. Zvyagin // Физика низких температур. — 2002. — Т. 28, № 12. — С. 1274-1291. — Бібліогр.: 68. назв. — англ. 0132-6414 PACS: 75.10.Jm, 75.20.Hr, 75.10.Nr, 75.30.Hx https://nasplib.isofts.kiev.ua/handle/123456789/128728 In this work we consider several exactly solvable models of magnetic impurities in critical quantum antiferromagnetic spin chains and multichannel Kondo impurities. Their ground state properties are studied and the finite set of nonlinear integral equations, which exactly describe the thermodynamics of the models, is constructed. We obtain several analytic low-energy expressions for the temperature, magnetic field, and frequency dependences of important characteristics of exactly solvable disordered quantum spin models and disordered multichannel Kondo impurities with essential many-body interactions. We show that the only low-energy parameter that gets renormalized is the velocity of the low-lying excitations (or the effective crossover scale connected with each impurity); the others appear to be universal. In our study several kinds of strong disorder important for experiments were used. Some of them produce low divergences in certain characteristics of our strongly disordered critical systems (compared with finite values for the homogeneous case or a single impurity). For weak disorder, or for narrow distributions of the local Kondo temperatures, our exact results reveal the presence of Kondo screening of disordered ensembles of magnetic impurities by low-lying excitations of the host. We point out that our results qualitatively coincide with the data of experiments on real disordered quasi-one-dimensional antiferromagnetic systems and with the similar behavior of some heavy metallic alloys. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкоразмерные и неупорядоченные системы Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities |
| spellingShingle |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities Zvyagin, A.A. Низкоразмерные и неупорядоченные системы |
| title_short |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities |
| title_full |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities |
| title_fullStr |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities |
| title_full_unstemmed |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities |
| title_sort |
non-fermi-liquid behavior: exact results for ensembles of magnetic impurities |
| author |
Zvyagin, A.A. |
| author_facet |
Zvyagin, A.A. |
| topic |
Низкоразмерные и неупорядоченные системы |
| topic_facet |
Низкоразмерные и неупорядоченные системы |
| publishDate |
2002 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
In this work we consider several exactly solvable models of magnetic impurities in critical quantum antiferromagnetic spin chains and multichannel Kondo impurities. Their ground state properties are studied and the finite set of nonlinear integral equations, which exactly describe the thermodynamics of the models, is constructed. We obtain several analytic low-energy expressions for the temperature, magnetic field, and frequency dependences of important characteristics of exactly solvable disordered quantum spin models and disordered multichannel Kondo impurities with essential many-body interactions. We show that the only low-energy parameter that gets renormalized is the velocity of the low-lying excitations (or the effective crossover scale connected with each impurity); the others appear to be universal. In our study several kinds of strong disorder important for experiments were used. Some of them produce low divergences in certain characteristics of our strongly disordered critical systems (compared with finite values for the homogeneous case or a single impurity). For weak disorder, or for narrow distributions of the local Kondo temperatures, our exact results reveal the presence of Kondo screening of disordered ensembles of magnetic impurities by low-lying excitations of the host. We point out that our results qualitatively coincide with the data of experiments on real disordered quasi-one-dimensional antiferromagnetic systems and with the similar behavior of some heavy metallic alloys.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/128728 |
| citation_txt |
Non-Fermi-liquid behavior: Exact results for ensembles of magnetic impurities / A.A. Zvyagin // Физика низких температур. — 2002. — Т. 28, № 12. — С. 1274-1291. — Бібліогр.: 68. назв. — англ. |
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2025-12-07T15:43:20Z |
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2025-12-07T15:43:20Z |
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1850864776360493056 |