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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2407.19395 |
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| author | Bauer, E. D. Avers, K. E. Asaba, T. Seo, S. Liu, Y. Weiland, A. Continentino, M. A. Lawrence, J. M. Thomas, S. M. Rosa, P. F. S. Thompson, J. D. Ronning, F. |
| author_facet | Bauer, E. D. Avers, K. E. Asaba, T. Seo, S. Liu, Y. Weiland, A. Continentino, M. A. Lawrence, J. M. Thomas, S. M. Rosa, P. F. S. Thompson, J. D. Ronning, F. |
| contents | We report measurements of the low temperature magnetization $M$ and specific heat $C$ as a function of temperature and magnetic field of the quasi-one-dimensional spin chain, heavy fermion compound YbFe$_5$P$_3$, which resides close to a quantum critical point. The results are compared to the predictions of scaling laws obtained from a generalized free energy function expected near an antiferromagnetic quantum critical point (AFQCP). The scaling behavior depends on the dimensionality $d$ of the fluctuations, the coherence length exponent $ν$, and the dynamic exponent $z$. The free energy treats the magnetic field as a relevant renormalization group variable, which leads to a new exponent $ϕ=νz_h$, where $z_h$ is a dynamic exponent expected in the presence of a magnetic field. When $z_h=z$, $T/H$ scaling is expected, as observed in several compounds close to a QCP; whereas in YbFe$_5$P$_3$, a $T/H^{3/4}$ dependence of the scaling is observed. This dependence reflects the relationship $z_h=(4z/3)$ and a field exponent $ϕ=4/3$. A feature of the scaling law is that it restricts the possible values of the exponents to two cases for YbFe$_5$P$_3$: $d$=1, $ν$=1, $z$=1, and $d$=2, $ν$=1/2, $z$=2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19395 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Critical Scaling in Quasi-One-Dimensional YbFe$_5$P$_3$ Bauer, E. D. Avers, K. E. Asaba, T. Seo, S. Liu, Y. Weiland, A. Continentino, M. A. Lawrence, J. M. Thomas, S. M. Rosa, P. F. S. Thompson, J. D. Ronning, F. Strongly Correlated Electrons We report measurements of the low temperature magnetization $M$ and specific heat $C$ as a function of temperature and magnetic field of the quasi-one-dimensional spin chain, heavy fermion compound YbFe$_5$P$_3$, which resides close to a quantum critical point. The results are compared to the predictions of scaling laws obtained from a generalized free energy function expected near an antiferromagnetic quantum critical point (AFQCP). The scaling behavior depends on the dimensionality $d$ of the fluctuations, the coherence length exponent $ν$, and the dynamic exponent $z$. The free energy treats the magnetic field as a relevant renormalization group variable, which leads to a new exponent $ϕ=νz_h$, where $z_h$ is a dynamic exponent expected in the presence of a magnetic field. When $z_h=z$, $T/H$ scaling is expected, as observed in several compounds close to a QCP; whereas in YbFe$_5$P$_3$, a $T/H^{3/4}$ dependence of the scaling is observed. This dependence reflects the relationship $z_h=(4z/3)$ and a field exponent $ϕ=4/3$. A feature of the scaling law is that it restricts the possible values of the exponents to two cases for YbFe$_5$P$_3$: $d$=1, $ν$=1, $z$=1, and $d$=2, $ν$=1/2, $z$=2. |
| title | Quantum Critical Scaling in Quasi-One-Dimensional YbFe$_5$P$_3$ |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2407.19395 |