DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum order by disorder in frustrated spin nanotubes

Journal Article · · Physical Review. B
 [1];  [2]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4];  [5]
  1. Ames Laboratory (AMES), Ames, IA (United States)
  2. Rutgers Univ., Piscataway, NJ (United States)
  3. Rutgers Univ., Piscataway, NJ (United States); Royal Holloway, Univ. of London (RHUL), Egham (United Kingdom)
  4. Ames Laboratory (AMES), Ames, IA (United States); Iowa State Univ., Ames, IA (United States); Saarland University Campus, Saarbrücken (Germany)
  5. Univ. of Oxford (United Kingdom)

Here we investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a J1–J2 Heisenberg model at 45° around a cylinder. Using Schwinger boson theory and density matrix renormalization group (DMRG), we have computed the ground-state phase diagram to reveal a Z2 phase in which collinear spin stripes form a right- or left-handed helix around the nanotube. We have derived an analytic estimate for the critical ηc = J1/2J2 of the Z2-helical phase transition, which is in agreement with the DMRG results. By evaluating the entanglement spectrum and nonlocal string order parameters we discuss the topology of the Z2-helical phase.

Research Organization:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); Leverhulme Trust International Professorship; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-07CH11358; SC0020353; LIP-202-014; DMR-1830707
OSTI ID:
2309760
Alternate ID(s):
OSTI ID: 2474125
Report Number(s):
IS-J-11,264; TRN: US2409076
Journal Information:
Physical Review. B, Vol. 109, Issue 7; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (85)

Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm journal November 1994
Symplectic N and time reversal in frustrated magnetism journal January 2009
Order by Quantum Disorder in Er 2 Ti 2 O 7 journal October 2012
Rigorous results on valence-bond ground states in antiferromagnets journal August 1987
Supersolid Phase of Hard-Core Bosons on a Triangular Lattice journal November 2005
Ising and spin orders in the iron-based superconductors journal July 2008
Spin ladders with spin gaps: A description of a class of cuprates journal April 1994
Topological order, dimerization, and spinon deconfinement in frustrated spin ladders journal May 2008
Quantum spin nanotubes—frustration, competing orders and criticalities journal September 2010
Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice journal June 2010
Dimensional crossover in a spin-liquid-to-helimagnet quantum phase transition journal February 2009
Codebase release 0.3 for ITensor journal August 2022
Quantum Order by Disorder and Accidental Soft Mode in Er 2 Ti 2 O 7 journal August 2012
Studying Two-Dimensional Systems with the Density Matrix Renormalization Group journal March 2012
Vestigial nematicity from spin and/or charge order in the cuprates journal August 2017
Path integral approach to order by disorder selection in partially polarized quantum spin systems journal July 2015
Non-Abelian bosonization of the frustrated antiferromagnetic spin-1/2 chain journal January 1997
Low-Dimensional SpinS=1/2System at the Quantum Critical Limit:Na2V3O7 journal April 2003
Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains journal April 1996
Phase diagram of the hexagonal lattice quantum dimer model journal September 2001
Intertwined and vestigial order with ultracold atoms in multiple cavity modes journal December 2017
Entanglement Renormalization journal November 2007
String order in spin liquid phases of spin ladders journal February 2001
Iron pnictides and chalcogenides: a new paradigm for superconductivity journal January 2022
Thermal Ising Transition in the Spin- 1/2 J1 - J2 Heisenberg Model journal June 2022
Structural and magnetic aspects of the nanotube systemNa2−xV3O7 journal December 2008
Density matrix formulation for quantum renormalization groups journal November 1992
Large- N expansion for frustrated quantum antiferromagnets journal April 1991
Magnetic characterization of the frustrated three-leg ladder compound[(CuCl2tachH)3Cl]Cl2 journal November 2004
Symmetry Breaking in the Collinear Phase of the J 1 − J 2 Heisenberg Model journal June 2003
Ordering due to disorder in a frustrated vector antiferromagnet journal April 1989
Excitation spectrum of Heisenberg spin ladders journal February 1993
Quantum criticality in an asymmetric three-leg spin tube: A strong rung-coupling perspective journal February 2014
A magnetic analogue of stereoisomerism : application to helimagnetism in two dimensions journal January 1977
Helical superfluid in a frustrated honeycomb Bose-Hubbard model journal August 2022
Resonating Valence Bond Theory of Coupled Heisenberg Chains journal August 1994
The density-matrix renormalization group in the age of matrix product states journal January 2011
Superconductivity in ladders and coupled planes journal March 1992
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State journal April 1983
Vanadium(IV)–Oxide Nanotubes: Crystal Structure of the Low-Dimensional Quantum Magnet Na2V3O7 journal November 1999
Vestigial nematic order and superconductivity in the doped topological insulator Cu x Bi2Se3 journal May 2018
Existence of dimerized phases in frustrated spin ladder models journal June 2008
Magnetization Curves of Antiferromagnetic Heisenberg Spin-12Ladders journal December 1997
Continuum-limit correlation functions for the spin-one anisotropic Heisenberg chain journal March 1985
Thermodynamic properties of the S=1/2 twisted triangular spin tube journal May 2018
Effective Action of a Two-Dimensional Antiferromagnet journal April 1988
Emergent Power-Law Phase in the 2D Heisenberg Windmill Antiferromagnet: A Computational Experiment journal October 2015
Excitations in a Four-Leg Antiferromagnetic Heisenberg Spin Tube journal January 2008
Emergent criticality and Friedan scaling in a two-dimensional frustrated Heisenberg antiferromagnet journal March 2014
Persistent Supersolid Phase of Hard-Core Bosons on the Triangular Lattice journal September 2005
Dimerized Phase and Transitions in a Spatially Anisotropic Square Lattice Antiferromagnet journal September 2004
Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice journal September 2005
Supersolid Hard-Core Bosons on the Triangular Lattice journal September 2005
Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry journal May 2023
Ising transition in frustrated Heisenberg models journal January 1990
Quantum phases of a frustrated four-leg spin tube journal January 2013
The ITensor Software Library for Tensor Network Calculations journal August 2022
Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond journal March 2019
Extended Universal Finite- T Renormalization of Excitations in a Class of One-Dimensional Quantum Magnets journal April 2008
Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism journal February 2015
Functional integral theories of low-dimensional quantum Heisenberg models journal July 1988
Conformal Fields and Operator Product Expansion in Critical Quantum Spin Chains journal January 2020
Phase diagram of the frustrated spin ladder journal February 2010
Ising models of quantum frustration journal May 2001
Magnets with strong geometric frustration journal December 2001
Ising Transition Driven by Frustration in a 2D Classical Model with Continuous Symmetry journal October 2003
Dipolar Order by Disorder in the Classical Heisenberg Antiferromagnet on the Kagome Lattice journal February 2013
Soliton binding and low-lying singlets in frustrated odd-leggedS=12spin tubes journal August 2004
N-leg integer-spin ladders and tubes in commensurate external fields: Nonlinear sigma model approach journal September 2005
Semiclassical Eigenstates of Four-Sublattice Antiferromagnets journal December 1998
Quantum Order-by-Disorder in Strongly Correlated Metals journal March 2018
Quantum dimer phases in a frustrated spin ladder: Effective field theory approach and exact diagonalization journal June 2006
High-temperature superconductivity in iron pnictides and chalcogenides journal March 2016
Entanglement spectrum of a topological phase in one dimension journal February 2010
Phase transitions between topologically distinct gapped phases in isotropic spin ladders journal December 2000
Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin quantum number journal November 1986
Frustrated three-leg spin tubes: From spin 1 ∕ 2 with chirality to spin 3 ∕ 2 journal January 2006
Possible spin-liquid state at large S for the frustrated square Heisenberg lattice journal November 1988
Determination of the exchange energies inLi2VOSiO4from a high-temperature series analysis of the square-latticeJ1−J2Heisenberg model journal September 2003
Preemptive nematic order, pseudogap, and orbital order in the iron pnictides journal January 2012
Competing emergent Potts orders and possible nematic spin liquids in the kagome J1−J3 Heisenberg model journal July 2022
Order as an effect of disorder journal January 1980
Na2V3O7: A Frustrated Nanotubular System with Spin-1/2Diamond Ring Geometry journal September 2005
Symmetry protection of topological phases in one-dimensional quantum spin systems journal February 2012
Emergent Critical Phase and Ricci Flow in a 2D Frustrated Heisenberg Model journal December 2012