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Quantum criticality among entangled spin chains

Journal Article · · Nature Physics
 [1];  [1];  [2];  [3];  [4];  [3];  [5];  [2];  [1]
  1. Univ. of California, Santa Cruz, CA (United States)
  2. FAMU-FSU College of Engineering, Tallahassee, FL (United States); National High Magnetic Field Lab., Tallahassee, FL (United States)
  3. Georgia Inst. of Technology, Atlanta, GA (United States)
  4. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  5. Univ. of California, Santa Barbara, CA (United States)
Here, an important challenge in magnetism is the unambiguous identification of a quantum spin liquid, of potential importance for quantum computing. In such a material, the magnetic spins should be fluctuating in the quantum regime, instead of frozen in a classical long-range-ordered state. While this requirement dictates systems wherein classical order is suppressed by a frustrating lattice, an ideal system would allow tuning of quantum fluctuations by an external parameter. Conventional three-dimensional antiferromagnets can be tuned through a quantum critical point—a region of highly fluctuating spins—by an applied magnetic field. Such systems suffer from a weak specific-heat peak at the quantum critical point, with little entropy available for quantum fluctuations. Here we study a different type of antiferromagnet, comprised of weakly coupled antiferromagnetic spin-1/2 chains as realized in the molecular salt K2PbCu(NO2)6. Across the temperature–magnetic field boundary between three-dimensional order and the paramagnetic phase, the specific heat exhibits a large peak whose magnitude approaches a value suggestive of the spinon Sommerfeld coefficient of isolated quantum spin chains. These results demonstrate an alternative approach for producing quantum matter via a magnetic-field-induced shift of entropy from one-dimensional short-range order to a three-dimensional quantum critical point.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1435334
Journal Information:
Nature Physics, Journal Name: Nature Physics Journal Issue: 3 Vol. 14; ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)Copyright Statement
Country of Publication:
United States
Language:
English

References (25)

The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents journal October 1998
Specific heat and susceptibility of the 1-dimensional Heisenberg antiferromagnet Cu(Pyrazine) (NO3)2. evidence for random exchange effects at low temperatures journal September 1984
Anyons in an exactly solved model and beyond journal January 2006
Gel Growth of K 2 PbCu(NO 2 ) 6 -Elpasolite Single Crystals journal August 2017
Entangled quantum state of magnetic dipoles journal September 2003
Dimensional reduction at a quantum critical point journal June 2006
Thermal-transport measurements in a quantum spin-liquid state of the frustrated triangular magnet κ-(BEDT-TTF)2Cu2(CN)3 journal November 2008
Magnetically linear and quadratic hexanitrocuprates journal March 1979
Origin of incommensurate structure in the cooperative Jahn-Teller system K 2 PbCu(NO 2 ) 6 journal April 1982
Linear Magnetic Chains with Anisotropic Coupling journal August 1964
Generalized Ginzburg-Landau theory of pseudo-one-dimensional systems journal March 1975
Bicritical and tetracritical points in anisotropic antiferromagnetic systems journal January 1976
Characterization of a quasi-one-dimensional spin-1/2 magnet which is gapless and paramagnetic for g μ B H ≲ J and k B T ≪ J journal January 1999
Extreme sensitivity of a frustrated quantum magnet: Cs 2 Cu Cl 4 journal July 2010
Phase Diagrams of Pseudo One-Dimensional Heisenberg Systems journal April 1978
Quantum Critical Behavior for a Model Magnet journal July 1996
Direct Observation of Field-Induced Incommensurate Fluctuations in a One-Dimensional S = 1 / 2 Antiferromagnet journal September 1997
Multichain Mean-Field Theory of Quasi-One-Dimensional Quantum Spin Systems journal October 1999
Bose-Einstein Condensation of Dilute Magnons in TlCuCl 3 journal June 2000
Spin Dynamics of the Spin- 1 / 2 Kagome Lattice Antiferromagnet ZnCu 3 ( OH ) 6 Cl 2 journal March 2007
Non-Abelian anyons and topological quantum computation journal September 2008
Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry journal January 2010
Successive Jahn-Teller Phase Transitions in K 2 PbCu(NO 2 ) 6 journal September 1978
One-Dimensional Antiferromagnetism in Rb 2 PbCu(NO 2 ) 6 journal October 1984
Strongly Geometrically Frustrated Magnets journal August 1994

Cited By (11)

Introduction book January 2018
Geometric entanglement and quantum phase transition in generalized cluster-XY models journal September 2019
Tomonaga–Luttinger liquid behavior and spinon confinement in YbAlO3 journal February 2019
Quantum criticality and entropy transfer in spin chains and planes—Pyridine oxide copper salts journal December 2019
Magnetic field-driven quantum criticality in antiferromagnetic CePtIn 4 journal September 2019
Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure journal November 2019
Quantum coherence in a compass chain under an alternating magnetic field journal June 2018
Interplay of Spin and Spatial Anisotropy in Low-Dimensional Quantum Magnets with Spin 1/2 journal December 2018
Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models text January 2017
Quantum coherence in a compass chain under an alternating magnetic field text January 2018
Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure text January 2020

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