Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach

Niggemann, Nils; Sbierski, Björn; Reuther, Johannes

doi:10.1103/PhysRevB.103.104431

Title: Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach

Authors:

;

; Reuther, Johannes

Publication Date:: Mon Mar 22 00:00:00 EDT 2021

Sponsoring Org.:: USDOE

OSTI Identifier:: 1772163

Grant/Contract Number:: LPDS 2018-12

Resource Type:: Published Article

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 103 Journal Issue: 10; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Niggemann, Nils, Sbierski, Björn, and Reuther, Johannes. Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevB.103.104431.

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                    Niggemann, Nils, Sbierski, Björn, & Reuther, Johannes. Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach.  United States.  https://doi.org/10.1103/PhysRevB.103.104431

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                    Niggemann, Nils, Sbierski, Björn, and Reuther, Johannes. Mon .  
"Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach".  United States.  https://doi.org/10.1103/PhysRevB.103.104431.

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@article{osti_1772163,

  title        = {Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach},

  author       = {Niggemann, Nils and Sbierski, Björn and Reuther, Johannes},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.103.104431},

  journal      = {Physical Review B},

  number       = 10,

  volume       = 103,

  place        = {United States},

  year         = {Mon Mar 22 00:00:00 EDT 2021},

  month        = {Mon Mar 22 00:00:00 EDT 2021}

}

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Title: Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach

Citation Formats

Functional renormalization group for multi-orbital Fermi surface instabilities journal, November 2013

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Quantum Phase Transitions book, January 2011

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Spiral order in the honeycomb iridate Li 2 IrO 3 journal, September 2014

Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates journal, October 2020

Spin-Spin Correlators in the Majorana Representation journal, November 2003

Characterization of quantum spin liquids and their spinon band structures via functional renormalization journal, March 2019

Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A 2 IrO 3 journal, March 2012

Topological Orders in Rigid States journal, February 1990

Stability of the spiral spin liquid in MnSc 2 S 4 journal, August 2018

High-temperature expansions for the J 1 − J 2 Heisenberg models: Applications to ab initio calculated models for Li 2 VOSiO 4 and Li 2 VOGeO 4 journal, January 2003

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions journal, January 2019

Quantum critical phase with infinite projected entangled paired states journal, July 2017

Functional renormalization group approach to SU ( N ) Heisenberg models: Momentum-space renormalization group for the large- N limit journal, February 2018

Spin functional renormalization group for quantum Heisenberg ferromagnets: Magnetization and magnon damping in two dimensions journal, November 2019

A finite-frequency functional renormalization group approach to the single impurity Anderson model journal, August 2008

Critical scales in anisotropic spin systems from functional renormalization journal, June 2012

Breathing chromium spinels: a showcase for a variety of pyrochlore Heisenberg Hamiltonians journal, December 2019

Resonating valence bonds: A new kind of insulator? journal, February 1973

Paramagnetism in the kagome compounds ( Zn , Mg , Cd ) Cu 3 ( OH ) 6 Cl 2 journal, December 2015

Quantum information and computation journal, March 2000

Introduction to Frustrated Magnetism book, January 2011

Classical spiral spin liquids as a possible route to quantum spin liquids journal, October 2019

Electron scattering on magnetic impurities in metals and anomalous resistivity effects journal, September 1965

Interacting Majorana fermions journal, July 2019

Majorana fermion description of the Kondo lattice: Variational and path integral approach journal, July 2013

Intertwined nematic orders in a frustrated ferromagnet journal, December 2016

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems journal, March 2008

Signatures of a gearwheel quantum spin liquid in a spin- 1 2 pyrochlore molybdate Heisenberg antiferromagnet journal, December 2017

Cluster functional renormalization group journal, January 2014

Magnetic ordering phenomena of interacting quantum spin Hall models journal, October 2012

Cluster functional renormalization group and absence of a bilinear spin liquid in the J 1 − J 2 Heisenberg model journal, September 2019

Renormalization group analysis of dipolar Heisenberg model on square lattice journal, June 2018

Exact evolution equation for the effective potential journal, February 1993

Functional renormalization group for multi-orbital Fermi surface instabilities
journal, November 2013

Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice
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Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: Pseudofermion functional renormalization group perspective
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Functional renormalization group for the anisotropic triangular antiferromagnet
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Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
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Finite-temperature phase diagram of the Heisenberg-Kitaev model
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Physical realization of a quantum spin liquid based on a complex frustration mechanism
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Quantum spin liquids: a review
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New fermionic description of quantum spin liquid state
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$J_{1} − J_{2}$ frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
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Phase Diagram and Quantum Order by Disorder in the Kitaev $K_{1} - K_{2}$ Honeycomb Magnet
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Functional renormalization group for three-dimensional quantum magnetism
journal, October 2016

Functional renormalization group for frustrated magnets with nondiagonal spin interactions
journal, September 2019

Renormalization group analysis of competing quantum phases in the $J_{1}$ - $J_{2}$ Heisenberg model on the kagome lattice
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$q = 0$ long-range magnetic order in centennialite ${CaCu}_{3} {(OD)}_{6} {Cl}_{2} \cdot 0.6 D_{2} O$ : A spin- $\frac{1}{2}$ perfect kagome antiferromagnet with $J_{1} - J_{2} - J_{d}$
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Exact renormalization group for quantum spin systems
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Functional renormalization group approach to correlated fermion systems
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
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Derivation of exact flow equations from the self-consistent parquet relations
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Density matrix formulation for quantum renormalization groups
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Magnetic order and paramagnetic phases in the quantum $J_{1}$ - $J_{2}$ - $J_{3}$ honeycomb model
journal, July 2011

Absence of Long-Range Order in a Triangular Spin System with Dipolar Interactions
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Quantum Phase Transitions
book, January 2011

Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets
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Finite-temperature symmetric tensor network for spin-1/2 Heisenberg antiferromagnets on the square lattice
journal, January 2021

Quantum phases of the planar antiferromagnetic $J_{1} - J_{2} - J_{3}$ Heisenberg model
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Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
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Evidence for a three-dimensional quantum spin liquid in PbCuTe2O6
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Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
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Quantum Monte Carlo simulation method for spin systems
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Mermin-Wagner physics, $(H, T)$ phase diagram, and candidate quantum spin-liquid phase in the spin- $\frac{1}{2}$ triangular-lattice antiferromagnet ${Ba}_{8} {CoNb}_{6} O_{24}$
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Quantum phase transitions
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The density-matrix renormalization group in the age of matrix product states
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Renormalization-group analysis of the two-dimensional Hubbard model
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Introduction to the Functional Renormalization Group
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Three types of representation of spin in terms of Majorana fermions and an alternative solution of the Kitaev honeycomb model
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Spin liquids in frustrated magnets
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Anyons in an exactly solved model and beyond
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Stochastic series expansion method with operator-loop update
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Majorana representation for dissipative spin systems
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Functional renormalization group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
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The density-matrix renormalization group
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Renormalization and effective lagrangians
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The Exact Renormalization Group and Approximate Solutions
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Finite temperature properties of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice
journal, September 1993

SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
journal, June 2011

Spiral order in the honeycomb iridate ${Li}_{2} {IrO}_{3}$
journal, September 2014

Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
journal, October 2020

Spin-Spin Correlators in the Majorana Representation
journal, November 2003

Characterization of quantum spin liquids and their spinon band structures via functional renormalization
journal, March 2019

Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates $A_{2} {IrO}_{3}$
journal, March 2012

Topological Orders in Rigid States
journal, February 1990

Stability of the spiral spin liquid in ${MnSc}_{2} S_{4}$
journal, August 2018

High-temperature expansions for the $J_{1} - J_{2}$ Heisenberg models: Applications to ab initio calculated models for ${Li}_{2} {VOSiO}_{4}$ and ${Li}_{2} {VOGeO}_{4}$
journal, January 2003

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
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Quantum critical phase with infinite projected entangled paired states
journal, July 2017

Functional renormalization group approach to $SU (N)$ Heisenberg models: Momentum-space renormalization group for the large- $N$ limit
journal, February 2018

Spin functional renormalization group for quantum Heisenberg ferromagnets: Magnetization and magnon damping in two dimensions
journal, November 2019

A finite-frequency functional renormalization group approach to the single impurity Anderson model
journal, August 2008

Critical scales in anisotropic spin systems from functional renormalization
journal, June 2012

Breathing chromium spinels: a showcase for a variety of pyrochlore Heisenberg Hamiltonians
journal, December 2019

Resonating valence bonds: A new kind of insulator?
journal, February 1973

Paramagnetism in the kagome compounds $(Zn, Mg, Cd) {Cu}_{3} {(OH)}_{6} {Cl}_{2}$
journal, December 2015

Quantum information and computation
journal, March 2000

Introduction to Frustrated Magnetism
book, January 2011

Classical spiral spin liquids as a possible route to quantum spin liquids
journal, October 2019

Electron scattering on magnetic impurities in metals and anomalous resistivity effects
journal, September 1965

Interacting Majorana fermions
journal, July 2019

Majorana fermion description of the Kondo lattice: Variational and path integral approach
journal, July 2013

Intertwined nematic orders in a frustrated ferromagnet
journal, December 2016

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
journal, March 2008

Signatures of a gearwheel quantum spin liquid in a spin- $\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
journal, December 2017

Cluster functional renormalization group
journal, January 2014

Magnetic ordering phenomena of interacting quantum spin Hall models
journal, October 2012

Cluster functional renormalization group and absence of a bilinear spin liquid in the $J_{1} − J_{2}$ Heisenberg model
journal, September 2019

Renormalization group analysis of dipolar Heisenberg model on square lattice
journal, June 2018

Exact evolution equation for the effective potential
journal, February 1993