Stripe antiferromagnetism and disorder in the Mott insulator NaFe 1 − x Cu x As ( x ≲ 0.5 )

doi:10.1103/PhysRevB.101.064410

This content will become publicly available on February 10, 2021

Title: Stripe antiferromagnetism and disorder in the Mott insulator ${NaFe}_{1 - x} {Cu}_{x} As$ $(x ≲ 0.5)$

Authors:

; Stolt, Ingrid; Song, Yu;

;

Publication Date:: 2020-02-11

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

OSTI Identifier:: 1599505

Grant/Contract Number:: FG02-05ER46248; FG02-05ER46202; SC0012311

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 101 Journal Issue: 6; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Xin, Yizhou, Stolt, Ingrid, Song, Yu, Dai, Pengcheng, and Halperin, W. P. Stripe antiferromagnetism and disorder in the Mott insulator NaFe 1 − x Cu x As ( x ≲ 0.5 ).  United States: N. p., 2020. 
        Web.  doi:10.1103/PhysRevB.101.064410.

Copy to clipboard


                    Xin, Yizhou, Stolt, Ingrid, Song, Yu, Dai, Pengcheng, & Halperin, W. P. Stripe antiferromagnetism and disorder in the Mott insulator NaFe 1 − x Cu x As ( x ≲ 0.5 ).  United States.  doi:10.1103/PhysRevB.101.064410.

Copy to clipboard


                    Xin, Yizhou, Stolt, Ingrid, Song, Yu, Dai, Pengcheng, and Halperin, W. P. Tue .  
        "Stripe antiferromagnetism and disorder in the Mott insulator NaFe 1 − x Cu x As ( x ≲ 0.5 )".  United States.  doi:10.1103/PhysRevB.101.064410.

Copy to clipboard


                    
@article{osti_1599505,

  title        = {Stripe antiferromagnetism and disorder in the Mott insulator NaFe 1 − x Cu x As ( x ≲ 0.5 )},

  author       = {Xin, Yizhou and Stolt, Ingrid and Song, Yu and Dai, Pengcheng and Halperin, W. P.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.101.064410},

  journal      = {Physical Review B},

  number       = 6,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {2}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

This content will become publicly available on February 10, 2021

Publisher's Version of Record

DOI: 10.1103/PhysRevB.101.064410

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Theory of nuclear spin diffusion in a spatially varying magnetic field
journal, July 1975

Genack, A. Z.; Redfield, A. G.
Physical Review B, Vol. 12, Issue 1
DOI: 10.1103/PhysRevB.12.78

Phase diagram and physical properties of NaFe $_{1 - x}$ Cu $_{x}$ As single crystals
journal, September 2013

Wang, A. F.; Lin, J. J.; Cheng, P.
Physical Review B, Vol. 88, Issue 9
DOI: 10.1103/PhysRevB.88.094516

Theory of spin glasses
journal, May 1975

Edwards, S. F.; Anderson, P. W.
Journal of Physics F: Metal Physics, Vol. 5, Issue 5
DOI: 10.1088/0305-4608/5/5/017

Similar glassy features in the ${}^{139}L a$ NMR response of pure and disordered ${La}_{1.88} {Sr}_{0.12} {CuO}_{4}$
journal, July 2008

Mitrović, V. F.; Julien, M. -H.; de Vaulx, C.
Physical Review B, Vol. 78, Issue 1
DOI: 10.1103/PhysRevB.78.014504

Coexistence of Cluster Spin Glass and Superconductivity in $Ba ({Fe}_{1 - x} {Co}_{x})_{2} {As}_{2}$ for $0.060 \leq x \leq 0.071$
journal, November 2013

Dioguardi, A. P.; Crocker, J.; Shockley, A. C.
Physical Review Letters, Vol. 111, Issue 20
DOI: 10.1103/PhysRevLett.111.207201

Strong Correlations and Magnetic Frustration in the High $T_{c}$ Iron Pnictides
journal, August 2008

Si, Qimiao; Abrahams, Elihu
Physical Review Letters, Vol. 101, Issue 7
DOI: 10.1103/PhysRevLett.101.076401

Local breaking of fourfold rotational symmetry by short-range magnetic order in heavily overdoped $Ba ({Fe}_{1 - x} {Cu}_{x})_{2} {As}_{2}$
journal, October 2017

Wang, Weiyi; Song, Yu; Hu, Ding
Physical Review B, Vol. 96, Issue 16
DOI: 10.1103/PhysRevB.96.161106

Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors
journal, April 2013

Yu, Rong; Zhu, Jian-Xin; Si, Qimiao
Current Opinion in Solid State and Materials Science, Vol. 17, Issue 2
DOI: 10.1016/j.cossms.2013.05.003

Local magnetic inhomogeneities in $Ba {({Fe}_{1 - x} {Ni}_{x})}_{2} {As}_{2}$ as seen via ${}^{75}A s$ NMR
journal, October 2010

Dioguardi, A. P.; apRoberts-Warren, N.; Shockley, A. C.
Physical Review B, Vol. 82, Issue 14
DOI: 10.1103/PhysRevB.82.140411

Persistence of slow fluctuations in the overdoped regime of $Ba ({Fe}_{1 - x} {Rh}_{x})_{2} {As}_{2}$ superconductors
journal, June 2016

Bossoni, L.; Moroni, M.; Julien, M. H.
Physical Review B, Vol. 93, Issue 22
DOI: 10.1103/PhysRevB.93.224517

Structure, magnetization, and NMR studies of the spin-glass compound ${({Li}_{x} V_{1 - x})}_{3} B O_{5}$ ( $x \approx 0.40$ and 0.33)
journal, August 2007

Zong, X.; Niazi, A.; Borsa, F.
Physical Review B, Vol. 76, Issue 5
DOI: 10.1103/PhysRevB.76.054452

Probing the susceptibility $χ^{'} (q)$ in cuprates using Ni impurities
journal, November 1998

Morr, Dirk K.; Schmalian, Jörg; Stern, Raivo
Physical Review B, Vol. 58, Issue 17
DOI: 10.1103/PhysRevB.58.11193

Stretched exponential relaxation arising from a continuous sum of exponential decays
journal, November 2006

Johnston, D. C.
Physical Review B, Vol. 74, Issue 18
DOI: 10.1103/PhysRevB.74.184430

Toward the Mott state with magnetic cluster formation in heavily Cu-doped ${NaFe}_{1 - x} {Cu}_{x} As$
journal, April 2019

Xin, Yizhou; Stolt, Ingrid; Lee, Jeongseop A.
Physical Review B, Vol. 99, Issue 15
DOI: 10.1103/PhysRevB.99.155114

Inhomogeneous Low Frequency Spin Dynamics in ${La}_{1.65} {Eu}_{0.2} {Sr}_{0.15} {CuO}_{4}$
journal, July 2000

Curro, N. J.; Hammel, P. C.; Suh, B. J.
Physical Review Letters, Vol. 85, Issue 3
DOI: 10.1103/PhysRevLett.85.642

$^{63} Cu$ NQR Evidence for Spatial Variation of Hole Concentration in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, January 2002

Singer, P. M.; Hunt, A. W.; Imai, T.
Physical Review Letters, Vol. 88, Issue 4
DOI: 10.1103/PhysRevLett.88.047602

Absence of magnetic pair breaking in Zn-doped ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$
journal, October 1993

Walstedt, R. E.; Bell, R. F.; Schneemeyer, L. F.
Physical Review B, Vol. 48, Issue 14
DOI: 10.1103/PhysRevB.48.10646

Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential)
journal, August 2005

Berberan-Santos, M. N.; Bodunov, E. N.; Valeur, B.
Chemical Physics, Vol. 315, Issue 1-2
DOI: 10.1016/j.chemphys.2005.04.006

Magnetic-field-enhanced spin freezing on the verge of charge ordering in YBa $_{2}$ Cu $_{3}$ O $_{6.45}$
journal, July 2013

Wu, T.; Mayaffre, H.; Krämer, S.
Physical Review B, Vol. 88, Issue 1
DOI: 10.1103/PhysRevB.88.014511

Glassy spin freezing and NMR wipeout effect in the high- $T_{c}$ superconductor ${La}_{1.90} {Sr}_{0.10} {CuO}_{4} :$ Critical discussion of the role of stripes
journal, March 2001

Julien, M. -H.; Campana, A.; Rigamonti, A.
Physical Review B, Vol. 63, Issue 14
DOI: 10.1103/PhysRevB.63.144508

$^{63} Cu$ NMR Evidence for Enhanced Antiferromagnetic Correlations around Zn Impurities in ${YBa}_{2} {Cu}_{3} O_{6.7}$
journal, April 2000

Julien, M. -H.; Fehér, T.; Horvatić, M.
Physical Review Letters, Vol. 84, Issue 15
DOI: 10.1103/PhysRevLett.84.3422

Correlation-driven metal-insulator transition in proximity to an iron-based superconductor
journal, November 2017

Charnukha, A.; Yin, Z. P.; Song, Y.
Physical Review B, Vol. 96, Issue 19
DOI: 10.1103/PhysRevB.96.195121

Spin glasses: Experimental facts, theoretical concepts, and open questions
journal, October 1986

Binder, K.; Young, A. P.
Reviews of Modern Physics, Vol. 58, Issue 4
DOI: 10.1103/RevModPhys.58.801

${NaFe}_{0.56} {Cu}_{0.44} As$ : A Pnictide Insulating Phase Induced by On-Site Coulomb Interaction
journal, August 2016

Matt, C. E.; Xu, N.; Lv, Baiqing
Physical Review Letters, Vol. 117, Issue 9
DOI: 10.1103/PhysRevLett.117.097001

Using Ni Substitution and $^{17} O$ NMR to Probe the Susceptibility $χ^{'} (q)$ in Cuprates
journal, September 1997

Bobroff, J.; Alloul, H.; Yoshinari, Y.
Physical Review Letters, Vol. 79, Issue 11
DOI: 10.1103/PhysRevLett.79.2117

Nuclear magnetic relaxation in weakly ferro-and antiferromagnetic metals
journal, July 1974

Moriya, Tôru; Ueda, Kazuo
Solid State Communications, Vol. 15, Issue 2
DOI: 10.1016/0038-1098(74)90733-9

A Mott insulator continuously connected to iron pnictide superconductors
journal, December 2016

Song, Yu; Yamani, Zahra; Cao, Chongde
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13879

Nuclear Spin-Lattice Relaxation in Magnetic Insulators
journal, February 1968

Beeman, D.; Pincus, P.
Physical Review, Vol. 166, Issue 2
DOI: 10.1103/PhysRev.166.359

Electronic and spin dynamics in the insulating iron pnictide ${NaFe}_{0.5} {Cu}_{0.5} As$
journal, December 2017

Zhang, Shunhong; He, Yanjun; Mei, Jia-Wei
Physical Review B, Vol. 96, Issue 24
DOI: 10.1103/PhysRevB.96.245128

Evidence of a critical hole concentration in underdoped YBa $_{2}$ Cu $_{3}$ O $_{y}$ single crystals revealed by $^{63}$ Cu NMR
journal, December 2012

Baek, S. -H.; Loew, T.; Hinkov, V.
Physical Review B, Vol. 86, Issue 22
DOI: 10.1103/PhysRevB.86.220504

Charge Segregation, Cluster Spin Glass, and Superconductivity in ${La}_{1.94} {Sr}_{0.06} {CuO}_{4}$
journal, July 1999

Julien, M. -H.; Borsa, F.; Carretta, P.
Physical Review Letters, Vol. 83, Issue 3
DOI: 10.1103/PhysRevLett.83.604

Magnetic exchange interactions in ${BaMn}_{2} {As}_{2}$ : A case study of the $J_{1}$ - $J_{2}$ - $J_{c}$ Heisenberg model
journal, September 2011

Johnston, D. C.; McQueeney, R. J.; Lake, B.
Physical Review B, Vol. 84, Issue 9
DOI: 10.1103/PhysRevB.84.094445

Similar records in OSTI.GOV collections:

Toward the Mott state with magnetic cluster formation in heavily Cu-doped ${NaFe}_{1 - x} {Cu}_{x} As$

Journal Article Xin, Yizhou ; Stolt, Ingrid ; Lee, Jeongseop A. ; ... - Physical Review B

Recent neutron scattering measurements imply that NaFemore »« less
DOI: 10.1103/PhysRevB.99.155114
Toward the Mott state with magnetic cluster formation in heavily Cu-doped ${NaFe}_{1 - x} {Cu}_{x} As$

Journal Article Xin, Yizhou ; Stolt, Ingrid ; Lee, Jeongseop A. ; ... - Physical Review B
DOI: 10.1103/PhysRevB.99.155114
Phase diagram and neutron spin resonance of superconducting ${NaFe}_{1 - x} {Cu}_{x} As$

Journal Article Tan, Guotai ; Song, Yu ; Zhang, Rui ; ... - Physical Review B

In this paper, we use transport and neutron scattering to study the electronic phase diagram and spin excitations of NaFe _1-xCu _xAs single crystals. Similar to Co- and Ni-doped NaFeAs, a bulk superconducting phase appears near x≈2% with the suppression of stripe-type magnetic order in NaFeAs. Upon further increasing Cu concentration the system becomes insulating, culminating in an antiferromagnetically ordered insulating phase near x≈50%. Using transport measurements, we demonstrate that the resistivity in NaFe _1-xCu _xAs exhibits non-Fermi-liquid behavior near x≈1.8%. Our inelastic neutron scattering experiments reveal a single neutron spin resonance mode exhibiting weak dispersion along c axis inmore »« less
Cited by 2
DOI: 10.1103/PhysRevB.95.054501

Full Text Available
Mott localization in a pure stripe antiferromagnet ${Rb}_{1 - δ} {Fe}_{1.5 - σ} S_{2}$

Journal Article Wang, Meng ; Yi, Ming ; Cao, Huibo ; ... - Physical Review. B, Condensed Matter and Materials Physics

A combination of neutron diffraction and angle-resolved photoemission spectroscopy measurements on a pure antiferromagnetic stripemore »« less
Cited by 4
DOI: 10.1103/PhysRevB.92.121101

Full Text Available
Manganese-induced magnetic symmetry breaking and its correlation with the metal-insulator transition in bilayered $S r_{3} {(R u_{1 - x} M n_{x})}_{2} O_{7}$

Journal Article Zhang, Qiang ; Ye, Feng ; Tian, Wei ; ... - Physical Review B

Bilayered Sr ₃Ru ₂O ₇ is an unusual metamagnetic metal with inherently antiferromagnetic (AFM) and ferromagnetic (FM) fluctuations. Partial substitution of Ru by Mn results in the establishment of a metal-insulator transition (MIT) at TMIT and AFM ordering at TM in Sr ₃(Ru _1-xMn _x) ₂O ₇. Using elastic neutron scattering, we investigated the effect of Mn doping on the magnetic structure, in-plane magnetic correlation lengths and their correlation to the MIT in Sr ₃(Ru _1-xMn _x) ₂O ₇ (x=0.06 and 0.12). With the increase of Mn doping (x) from 0.06 to 0.12 or the decrease of temperatures for x=0.12,more »« less
DOI: 10.1103/PhysRevB.95.220403

Full Text Available

Similar Records

This content will become publicly available on February 10, 2021

Title: Stripe antiferromagnetism and disorder in the Mott insulator NaFe 1 − x Cu x As ( x ≲ 0.5 )

Citation Formats

Theory of nuclear spin diffusion in a spatially varying magnetic field journal, July 1975

Phase diagram and physical properties of NaFe 1 − x Cu x As single crystals journal, September 2013

Theory of spin glasses journal, May 1975

Similar glassy features in the L 139 a NMR response of pure and disordered La 1.88 Sr 0.12 CuO 4 journal, July 2008

Coexistence of Cluster Spin Glass and Superconductivity in Ba ( Fe 1 − x Co x ) 2 As 2 for 0.060 ≤ x ≤ 0.071 journal, November 2013

Strong Correlations and Magnetic Frustration in the High T c Iron Pnictides journal, August 2008

Local breaking of fourfold rotational symmetry by short-range magnetic order in heavily overdoped Ba ( Fe 1 − x Cu x ) 2 As 2 journal, October 2017

Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors journal, April 2013

Local magnetic inhomogeneities in Ba ( Fe 1 − x Ni x ) 2 As 2 as seen via A 75 s NMR journal, October 2010

Persistence of slow fluctuations in the overdoped regime of Ba ( Fe 1 − x Rh x ) 2 As 2 superconductors journal, June 2016

Structure, magnetization, and NMR studies of the spin-glass compound ( Li x V 1 − x ) 3 B O 5 ( x ≈ 0.40 and 0.33) journal, August 2007

Probing the susceptibility χ ′ ( q ) in cuprates using Ni impurities journal, November 1998

Stretched exponential relaxation arising from a continuous sum of exponential decays journal, November 2006

Toward the Mott state with magnetic cluster formation in heavily Cu-doped NaFe 1 − x Cu x As journal, April 2019

Inhomogeneous Low Frequency Spin Dynamics in La 1.65 Eu 0.2 Sr 0.15 CuO 4 journal, July 2000

63 Cu NQR Evidence for Spatial Variation of Hole Concentration in La 2 − x Sr x CuO 4 journal, January 2002

Absence of magnetic pair breaking in Zn-doped YBa 2 Cu 3 O 7 journal, October 1993

Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential) journal, August 2005

Magnetic-field-enhanced spin freezing on the verge of charge ordering in YBa 2 Cu 3 O 6.45 journal, July 2013

Glassy spin freezing and NMR wipeout effect in the high- T c superconductor La 1.90 Sr 0.10 CuO 4 : Critical discussion of the role of stripes journal, March 2001

63 Cu NMR Evidence for Enhanced Antiferromagnetic Correlations around Zn Impurities in YBa 2 Cu 3 O 6.7 journal, April 2000

Correlation-driven metal-insulator transition in proximity to an iron-based superconductor journal, November 2017

Spin glasses: Experimental facts, theoretical concepts, and open questions journal, October 1986

NaFe 0.56 Cu 0.44 As : A Pnictide Insulating Phase Induced by On-Site Coulomb Interaction journal, August 2016

Using Ni Substitution and 17 O NMR to Probe the Susceptibility χ ′ ( q ) in Cuprates journal, September 1997

Nuclear magnetic relaxation in weakly ferro-and antiferromagnetic metals journal, July 1974

A Mott insulator continuously connected to iron pnictide superconductors journal, December 2016

Nuclear Spin-Lattice Relaxation in Magnetic Insulators journal, February 1968

Electronic and spin dynamics in the insulating iron pnictide NaFe 0.5 Cu 0.5 As journal, December 2017

Evidence of a critical hole concentration in underdoped YBa 2 Cu 3 O y single crystals revealed by 63 Cu NMR journal, December 2012

Charge Segregation, Cluster Spin Glass, and Superconductivity in La 1.94 Sr 0.06 CuO 4 journal, July 1999

Magnetic exchange interactions in BaMn 2 As 2 : A case study of the J 1 - J 2 - J c Heisenberg model journal, September 2011

Title: Stripe antiferromagnetism and disorder in the Mott insulator ${NaFe}_{1 - x} {Cu}_{x} As$ $(x ≲ 0.5)$

Theory of nuclear spin diffusion in a spatially varying magnetic field
journal, July 1975

Phase diagram and physical properties of NaFe $_{1 - x}$ Cu $_{x}$ As single crystals
journal, September 2013

Theory of spin glasses
journal, May 1975

Similar glassy features in the ${}^{139}L a$ NMR response of pure and disordered ${La}_{1.88} {Sr}_{0.12} {CuO}_{4}$
journal, July 2008

Coexistence of Cluster Spin Glass and Superconductivity in $Ba ({Fe}_{1 - x} {Co}_{x})_{2} {As}_{2}$ for $0.060 \leq x \leq 0.071$
journal, November 2013

Strong Correlations and Magnetic Frustration in the High $T_{c}$ Iron Pnictides
journal, August 2008

Local breaking of fourfold rotational symmetry by short-range magnetic order in heavily overdoped $Ba ({Fe}_{1 - x} {Cu}_{x})_{2} {As}_{2}$
journal, October 2017

Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors
journal, April 2013

Local magnetic inhomogeneities in $Ba {({Fe}_{1 - x} {Ni}_{x})}_{2} {As}_{2}$ as seen via ${}^{75}A s$ NMR
journal, October 2010

Persistence of slow fluctuations in the overdoped regime of $Ba ({Fe}_{1 - x} {Rh}_{x})_{2} {As}_{2}$ superconductors
journal, June 2016

Structure, magnetization, and NMR studies of the spin-glass compound ${({Li}_{x} V_{1 - x})}_{3} B O_{5}$ ( $x \approx 0.40$ and 0.33)
journal, August 2007

Probing the susceptibility $χ^{'} (q)$ in cuprates using Ni impurities
journal, November 1998

Stretched exponential relaxation arising from a continuous sum of exponential decays
journal, November 2006

Toward the Mott state with magnetic cluster formation in heavily Cu-doped ${NaFe}_{1 - x} {Cu}_{x} As$
journal, April 2019

Inhomogeneous Low Frequency Spin Dynamics in ${La}_{1.65} {Eu}_{0.2} {Sr}_{0.15} {CuO}_{4}$
journal, July 2000

$^{63} Cu$ NQR Evidence for Spatial Variation of Hole Concentration in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$
journal, January 2002

Absence of magnetic pair breaking in Zn-doped ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$
journal, October 1993

Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential)
journal, August 2005

Magnetic-field-enhanced spin freezing on the verge of charge ordering in YBa $_{2}$ Cu $_{3}$ O $_{6.45}$
journal, July 2013

Glassy spin freezing and NMR wipeout effect in the high- $T_{c}$ superconductor ${La}_{1.90} {Sr}_{0.10} {CuO}_{4} :$ Critical discussion of the role of stripes
journal, March 2001

$^{63} Cu$ NMR Evidence for Enhanced Antiferromagnetic Correlations around Zn Impurities in ${YBa}_{2} {Cu}_{3} O_{6.7}$
journal, April 2000

Correlation-driven metal-insulator transition in proximity to an iron-based superconductor
journal, November 2017

Spin glasses: Experimental facts, theoretical concepts, and open questions
journal, October 1986

${NaFe}_{0.56} {Cu}_{0.44} As$ : A Pnictide Insulating Phase Induced by On-Site Coulomb Interaction
journal, August 2016

Using Ni Substitution and $^{17} O$ NMR to Probe the Susceptibility $χ^{'} (q)$ in Cuprates
journal, September 1997

Nuclear magnetic relaxation in weakly ferro-and antiferromagnetic metals
journal, July 1974

A Mott insulator continuously connected to iron pnictide superconductors
journal, December 2016

Nuclear Spin-Lattice Relaxation in Magnetic Insulators
journal, February 1968

Electronic and spin dynamics in the insulating iron pnictide ${NaFe}_{0.5} {Cu}_{0.5} As$
journal, December 2017

Evidence of a critical hole concentration in underdoped YBa $_{2}$ Cu $_{3}$ O $_{y}$ single crystals revealed by $^{63}$ Cu NMR
journal, December 2012

Charge Segregation, Cluster Spin Glass, and Superconductivity in ${La}_{1.94} {Sr}_{0.06} {CuO}_{4}$
journal, July 1999

Magnetic exchange interactions in ${BaMn}_{2} {As}_{2}$ : A case study of the $J_{1}$ - $J_{2}$ - $J_{c}$ Heisenberg model
journal, September 2011