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Channarayappa SK, Kumar S, Vidhyadhiraja NS, Pujari S, Saravanan MP, Sebastian A, Choi ES, Chikara S, Nambi D, Suresh A, Lal S, Jaiswal-Nagar D. Tomonaga-Luttinger liquid and quantum criticality in spin- 1 2 antiferromagnetic Heisenberg chain C 14 H 18 CuN 4 O 10 via Wilson ratio. PNAS NEXUS 2024; 3:pgae363. [PMID: 39267815 PMCID: PMC11391949 DOI: 10.1093/pnasnexus/pgae363] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/30/2024] [Accepted: 08/13/2024] [Indexed: 09/15/2024]
Abstract
The ground state of a one-dimensional spin-1 2 uniform antiferromagnetic Heisenberg chain (AfHc) is a Tomonaga-Luttinger liquid which is quantum-critical with respect to applied magnetic fields up to a saturation field μ 0 H s beyond which it transforms to a fully polarized state. Wilson ratio has been predicted to be a good indicator for demarcating these phases [Phys. Rev. B 96, 220401 (2017)]. From detailed temperature and magnetic field-dependent magnetization, magnetic susceptibility and specific heat measurements in a metalorganic complex and comparisons with field theory and quantum transfer matrix method calculations, the complex was found to be a very good realization of a spin-1 2 AfHc. Wilson ratio obtained from experimentally obtained magnetic susceptibility and magnetic contribution of specific heat values was used to map the magnetic phase diagram of the uniform spin-1 2 AfHc over large regions of phase space demarcating Tomonaga-Luttinger liquid, saturation field quantum critical, and fully polarized states. Luttinger parameter and spinon velocity were found to match very well with the values predicted from conformal field theory.
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Affiliation(s)
| | - Sankalp Kumar
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, Maharashtra 400076, India
| | - N S Vidhyadhiraja
- Theoretical Sciences Unit, Jawaharlal Nehru Center for Advanced Scientific Research, Bengaluru, Karnataka 560064, India
| | - Sumiran Pujari
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, Maharashtra 400076, India
| | - M P Saravanan
- UGC-DAE Consortium for Scientific Research, Indor, Madhya Pradesh 452001, India
| | - Amal Sebastian
- School of Physics, IISER Thiruvananthapuram, Thiruvananthapuram, Kerala 695551, India
| | - Eun Sang Choi
- National High Magnetic Field Lab (NHMFL), Tallahassee, FL 32310, USA
| | - Shalinee Chikara
- National High Magnetic Field Lab (NHMFL), Tallahassee, FL 32310, USA
| | - Dolly Nambi
- School of Physics, IISER Thiruvananthapuram, Thiruvananthapuram, Kerala 695551, India
| | - Athira Suresh
- School of Physics, IISER Thiruvananthapuram, Thiruvananthapuram, Kerala 695551, India
| | - Siddhartha Lal
- Department of Physical Sciences, IISER Kolkata, Mohanpur Campus, West Bengal 741246, India
| | - D Jaiswal-Nagar
- School of Physics, IISER Thiruvananthapuram, Thiruvananthapuram, Kerala 695551, India
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Marshall M, Billingsley BR, Bai X, Ma Q, Kong T, Cao H. Field-induced partial disorder in a Shastry-Sutherland lattice. Nat Commun 2023; 14:3641. [PMID: 37336899 DOI: 10.1038/s41467-023-39409-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2022] [Accepted: 06/13/2023] [Indexed: 06/21/2023] Open
Abstract
A 2-Q antiferromagnetic order of the ferromagnetic dimers was found below TN = 2.9 K in the Shastry-Sutherland lattice BaNd2ZnS5 by single crystal neutron diffraction. The magnetic order can be understood by the orthogonal arrangement of local Ising Nd spins, identified by polarized neutrons. A field was applied along [1 -1 0] to probe the observed metamagnetic transition in the magnetization measurement. The field decouples two magnetic sublattices corresponding to the propagation vectors q1 = (½, ½, 0) and q2 = (-½, ½, 0), respectively. Each sublattice shows a "stripe" order with a Néel-type arrangement in each single layer. The "stripe" order with q1 remains nearly intact up to 6 T, while the other one with q2 is suppressed at a critical field Hc ~1.7 T, indicating a partial disorder. The Hc varies with temperature and is manifested in the H-T phase diagram constructed by measuring the magnetization in BaNd2ZnS5.
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Affiliation(s)
- Madalynn Marshall
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
| | | | - Xiaojian Bai
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
- Department of Physics and Astronomy, University of Louisiana, Baton Rouge, LO, 70803, USA
| | - Qianli Ma
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
| | - Tai Kong
- Department of Physics, University of Arizona, Tucson, AZ, 85721, USA
- Department of Chemistry and Biochemistry, University of Arizona, Tucson, AZ, 85721, USA
| | - Huibo Cao
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA.
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Ranaut D, Mukherjee K. Entropic topography associated with field-induced quantum criticality in a magnetic insulator DyVO 4. Sci Rep 2022; 12:56. [PMID: 34997169 PMCID: PMC8741807 DOI: 10.1038/s41598-021-04389-z] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2021] [Accepted: 12/22/2021] [Indexed: 11/09/2022] Open
Abstract
Exploration of low temperature phase transitions associated with quantum critical point is one of the most mystifying fields of research which is under intensive focus in recent times. In this work, through comprehensive experimental evidences, we report the possibility of achieving quantum criticality in the neighborhood of a magnetic field-tuned tricritical point separating paramagnetic, antiferromagnetic and metamagnetic phases in a magnetic insulator, DyVO4. Magnetic susceptibility and heat capacity indicate to the presence of a long-range second order antiferromagnetic transition at TN ~ 3.2 K. Field variation of Magnetic susceptibility and heat capacity, along with differential magnetic susceptibility and DC field dependent AC susceptibility gives evidence of the modification of the antiferromagnetic structure below the tricritical point; implying the presence of a field-induced first order metamagnetic transition which persists down to 1.8 K. Further, the magnetic field dependence of the thermodynamic quantity - dM/dT, which is related to magnetic Gruneisen parameter, approaches a minimum, followed by a crossover near 5 kOe to a maximum; along with a hyperbolic divergence in temperature response of dM/dT in the critical field regime. Temperature response of heat capacity at 5 kOe also shows a deviation from the conventional behavior. Entropic topography phase diagram allows tracking of the variation of the entropy, which indicates towards the emergence of the peak at quantum critical point into a V-shaped region at high temperatures. Our studies yield an inimitable phase diagram describing a tricritical point at which the second-order antiferromagnetic phase line terminates followed by a first order line of metamagnetic transition, as the temperature is lowered, leading to metamagnetic quantum critical end point.
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Affiliation(s)
- Dheeraj Ranaut
- School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, 175005, India
| | - K Mukherjee
- School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, 175005, India.
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Weiland A, Wei K, McCandless GT, Baumbach RE, Chan JY. Fantastic n = 4: Ce 5Co 4+xGe 13-ySn y of the A n+1M nX 3n+1 homologous series. J Chem Phys 2021; 154:114707. [PMID: 33752369 DOI: 10.1063/5.0045015] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Ce-based intermetallics are of interest due to the potential to study the interplay of localized magnetic moments and conduction electrons. Our work on Ce-based germanides led to the identification of a new homologous series An+1MnX3n+1 (A = rare earth, M = transition metal, X = tetrels, and n = 1-6). This work presents the single-crystal growth, structure determination, and anisotropic magnetic properties of the n = 4 member of the Cen+1ConGe3n+1 homologous series. Ce5Co4+xGe13-ySny consists of three Ce sites, three Co sites, seven Ge sites, and two Sn sites, and the crystal structure is best modeled in the orthorhombic space group Cmmm where a = 4.3031(8) Å, b = 45.608(13) Å, and c = 4.3264(8) Å, which is in close agreement with the previously reported Sn-free analog where a = 4.265(1) Å, b = 45.175(9) Å, and c = 4.293(3) Å. Anisotropic magnetic measurements show Kondo-like behavior and three magnetic transitions at 6, 4.9, and 2.4 K for Ce5Co4+xGe13-ySny.
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Affiliation(s)
- Ashley Weiland
- Department of Chemistry and Biochemistry, The University of Texas at Dallas, Richardson, Texas 75080, USA
| | - Kaya Wei
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32310, USA
| | - Gregory T McCandless
- Department of Chemistry and Biochemistry, The University of Texas at Dallas, Richardson, Texas 75080, USA
| | - Ryan E Baumbach
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32310, USA
| | - Julia Y Chan
- Department of Chemistry and Biochemistry, The University of Texas at Dallas, Richardson, Texas 75080, USA
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Squillante L, F Mello I, O Gomes G, Seridonio AC, Lagos-Monaco RE, Stanley HE, de Souza M. Unveiling the Physics of the Mutual Interactions in Paramagnets. Sci Rep 2020; 10:7981. [PMID: 32409745 PMCID: PMC7224220 DOI: 10.1038/s41598-020-64632-x] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2020] [Accepted: 04/20/2020] [Indexed: 11/19/2022] Open
Abstract
In real paramagnets, there is always a subtle many-body contribution to the system's energy, which can be regarded as a small effective local magnetic field (Bloc). Usually, it is neglected, since it is very small when compared with thermal fluctuations and/or external magnetic fields (B). Nevertheless, as both the temperature (T) → 0 K and B → 0 T, such many-body contributions become ubiquitous. Here, employing the magnetic Grüneisen parameter (Γmag) and entropy arguments, we report on the pivotal role played by the mutual interactions in the regime of ultra-low-T and vanishing B. Our key results are: i) absence of a genuine zero-field quantum phase transition due to the presence of Bloc; ii) connection between the canonical definition of temperature and Γmag; and iii) possibility of performing adiabatic magnetization by only manipulating the mutual interactions. Our findings unveil unprecedented aspects emerging from the mutual interactions.
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Affiliation(s)
- Lucas Squillante
- São Paulo State University (Unesp), IGCE - Physics Department, Rio Claro, SP, Brazil
| | - Isys F Mello
- São Paulo State University (Unesp), IGCE - Physics Department, Rio Claro, SP, Brazil
| | - Gabriel O Gomes
- Department of Astronomy, University of São Paulo, São Paulo, 05508-090, SP, Brazil
| | - A C Seridonio
- São Paulo State University (Unesp), Department of Physics and Chemistry, Ilha Solteira, SP, Brazil
| | - R E Lagos-Monaco
- São Paulo State University (Unesp), IGCE - Physics Department, Rio Claro, SP, Brazil
| | | | - Mariano de Souza
- São Paulo State University (Unesp), IGCE - Physics Department, Rio Claro, SP, Brazil.
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