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Characterizing random-singlet state in two-dimensional frustrated quantum magnets and implications for the double perovskite Sr 2 CuTe 1–x W x O 6

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [2]
  1. Beihang University, Beijing (China); Tsinghua University, Beijing (China); CSUN
  2. Beihang University, Beijing (China)
  3. Sun Yat-Sen University, Guangzhou (China)
  4. California State University, Northridge (CSUN), CA (United States)
+ Show Author Affiliations
Motivated by the experimental observation of a nonmagnetic phase in compounds with frustration and disorder, we study the ground state of a spin-1/2 square-lattice Heisenberg model with randomly distributed nearest-neighbor J1 and next-nearest-neighbor J2 couplings. By using the density matrix renormalization group (DMRG) calculation on a cylinder system with a circumference of up to ten lattice sites, we identify a disordered phase between the Néel and stripe magnetic phase with growing J2/J1 in the presence of strong bond randomness. The vanished spin-freezing parameter indicates the absence of spin-glass order. The large-scale DMRG results unveil the size-scaling behaviors of the spin-freezing parameter, the power-law decay of the average spin correlation, and the exponential decay of the typical spin correlation, which all agree with the corresponding behavior in the one-dimensional random-singlet (RS) state and characterize the RS nature of this disordered phase. The DMRG simulation also provides insights and opportunities for characterizing a class of nonmagnetic states in two-dimensional frustrated magnets with disorder. Here, we also compare with existing experiments and suggest more measurements for understanding the spin-liquid-like behaviors in the double perovskite Sr2CuTe1–xWxO6.
Research Organization:
California State University, Northridge (CSUN), CA (United States)
Sponsoring Organization:
National Natural Science Foundation of China; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-06ER46305
OSTI ID:
2203462
Alternate ID(s):
OSTI ID: 1910273
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 2 Vol. 107; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (72)

Sr3CuIrO6, a spin-chain compound with random ferromagnetic–antiferromagnetic interactions journal September 2001
Anyons in an exactly solved model and beyond journal January 2006
Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model journal May 2022
Site Specific X-ray Anomalous Dispersion of the Geometrically Frustrated Kagomé Magnet, Herbertsmithite, ZnCu 3 (OH) 6 Cl 2 journal November 2010
Spin liquids in frustrated magnets journal March 2010
Evidence for a spinon Fermi surface in a triangular-lattice quantum-spin-liquid candidate journal December 2016
Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4 journal December 2016
Thermodynamic properties of a spin-1/2 spin-liquid state in a κ-type organic salt journal April 2008
Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by d10–d0 cation mixing journal March 2018
Scaling and data collapse from local moments in frustrated disordered quantum spin systems journal October 2018
Kosterlitz-Thouless melting of magnetic order in the triangular quantum Ising material TmMgGaO4 journal February 2020
Randomness-induced quantum spin liquid on honeycomb lattice journal November 2017
Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO4 journal November 2015
Quantum spin liquids: a review journal November 2016
Magnetic structure of Sr 2 CuWO 6 journal November 2014
Nature of the randomness-induced quantum spin liquids in two dimensions journal September 2019
Random singlet state in Ba 5 CuIr 3 O 12 single crystals journal January 2020
Low-temperature properties of the random Heisenberg antiferromagnetic chain journal August 1980
Possible spin-liquid state at large S for the frustrated square Heisenberg lattice journal November 1988
Bond-operator representation of quantum spins: Mean-field theory of frustrated quantum Heisenberg antiferromagnets journal May 1990
Mean-field theory of spin-liquid states with finite energy gap and topological orders journal August 1991
Random antiferromagnetic quantum spin chains journal August 1994
Critical behavior of random transverse-field Ising spin chains journal March 1995
Infinite-randomness quantum Ising critical fixed points journal January 2000
Strongly disordered spin ladders journal February 2002
Spin reduction transition in spin- 3 2 random Heisenberg chains journal August 2002
Low-energy fixed points of random Heisenberg models journal July 2003
Random-exchange quantum Heisenberg antiferromagnets on a square lattice journal February 2006
Infinite-randomness quantum critical points induced by dissipation journal January 2009
Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order journal October 2010
Infinite-disorder scaling of random quantum magnets in three and higher dimensions journal May 2011
Quantum phase transition between disordered and ordered states in the spin-12kagome lattice antiferromagnet(Rb1−xCsx)2Cu3SnF12 journal June 2015
Static and dynamical spin correlations of the S = 1 2 random-bond antiferromagnetic Heisenberg model on the triangular and kagome lattices journal October 2015
Magnetic structure of the S = 1 2 quasi-two-dimensional square-lattice Heisenberg antiferromagnet Sr 2 CuTeO 6 journal February 2016
Spin wave excitations in the tetragonal double perovskite Sr 2 CuWO 6 journal August 2016
Properties of the random-singlet phase: From the disordered Heisenberg chain to an amorphous valence-bond solid journal November 2016
Valence-bond-glass state with a singlet gap in the spin- 1 2 square-lattice random J 1 − J 2 Heisenberg antiferromagnet Sr 2 CuTe 1 − x W x O 6 journal August 2018
Tuning the S = 1 / 2 square-lattice antiferromagnet S r 2 Cu ( T e 1 − x W x ) O 6 from Néel order to quantum disorder to columnar order journal August 2018
Randomness-induced quantum spin liquid behavior in the s = 1 2 random J 1 − J 2 Heisenberg antiferromagnet on the square lattice journal October 2018
From order to randomness: Onset and evolution of the random-singlet state in bond-disordered BaCu2(Si1−xGex)2O7 spin-chain compounds journal January 2019
Randomness-induced spin-liquid-like phase in the spin- 1 2   J 1 − J 2 triangular Heisenberg model journal February 2019
Infinite-randomness critical point in the two-dimensional disordered contact process journal January 2009
Valence Bond Glass Phase in Dilute Kagome Antiferromagnets journal April 2010
Distribution of NMR Relaxations in a Random Heisenberg Chain journal April 2011
Kapellasite: A Kagome Quantum Spin Liquid with Competing Interactions journal July 2012
Plaquette Ordered Phase and Quantum Phase Diagram in the Spin- 1 2 J 1 − J 2 Square Heisenberg Model journal July 2014
Tuning the Magnetic Exchange via a Control of Orbital Hybridization in Cr 2 ( Te 1 − x W x ) O 6 journal August 2014
Quantum Spin Liquid Emerging from Antiferromagnetic Order by Introducing Disorder journal August 2015
Rare-Earth Triangular Lattice Spin Liquid: A Single-Crystal Study of YbMgGaO 4 journal October 2015
Magnetic Excitations and Electronic Interactions in Sr 2 CuTeO 6 : A Spin- 1 / 2 Square Lattice Heisenberg Antiferromagnet journal December 2016
Disorder-Induced Quantum Spin Liquid in Spin Ice Pyrochlores journal February 2017
Exchange Interactions Mediated by Nonmagnetic Cations in Double Perovskites journal February 2020
Extreme Suppression of Antiferromagnetic Order and Critical Scaling in a Two-Dimensional Random Quantum Magnet journal January 2021
Random Antiferromagnetic Chain journal November 1979
Scaling Studies of Highly Disordered Spin-½ Antiferromagnetic Systems journal February 1982
Large- N expansion for frustrated quantum antiferromagnets journal April 1991
Density matrix formulation for quantum renormalization groups journal November 1992
Random transverse field Ising spin chains journal July 1992
Two-Dimensional Randomly Frustrated Spin-1/2Heisenberg Model journal October 2001
Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice journal September 2003
Exponential Thermal Tensor Network Approach for Quantum Lattice Models journal September 2018
Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets journal December 2018
Spin glasses: Experimental facts, theoretical concepts, and open questions journal October 1986
Colloquium : Herbertsmithite and the search for the quantum spin liquid journal December 2016
Quantum spin liquid states journal April 2017
Design of a Random Quantum Spin Chain Paramagnet: Sr3CuPt0.5Ir0.5O6 journal January 1996
Antiferromagnetic Order in an Ferromagnetic–Antiferromagnetic Random Alternating Quantum Spin Chain: (CH3)2CHNH3Cu(Clx Br1-x)3 journal April 2003
Phase Transitions and Disorder Effects in Pure and Doped Frustrated Quantum Antiferromagnet Cs2CuBr4 journal January 2005
The non-Abelian density matrix renormalization group algorithm journal March 2002
Quantum Spin-Liquid Behavior in the Spin-1/2 Random Heisenberg Antiferromagnet on the Triangular Lattice journal March 2014
Quantum Spin-Liquid Behavior in the Spin-1/2 Random-Bond Heisenberg Antiferromagnet on the Kagome Lattice journal October 2014
Randomness-Induced Quantum Spin Liquid Behavior in the s = 1/2 Random J 1 – J 2 Heisenberg Antiferromagnet on the Honeycomb Lattice journal April 2017

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Density matrix renormalization group
Disordered systems
Frustrated magnetism
Perovskites
Transition metal oxides