Modified density matrix renormalization group algorithm for the zigzag spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>chain with frustrated antiferromagnetic exchange: Comparison with field theory at large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mm

Kumar, Manoranjan; Soos, Z. G.; Sen, Diptiman; Ramasesha, S.

doi:10.1103/physrevb.81.104406

Cited by 41 publications

(62 citation statements)

References 31 publications

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“…The superblock Hamiltonian of chains only contains new operators or once renormalized operators, a desirable featured that we retain for Y junctions. In some algorithms the number of newly added sites in the superblock can vary from one [28] to two [17] or four [29] depending on the accuracy requirements of the systems. Here the superblock grows by three sites.…”

Section: Model and Algorithmmentioning

confidence: 99%

Efficient density matrix renormalization group algorithm to study Y junctions with integer and half-integer spin

et al. 2016

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An efficient density matrix renormalization group (DMRG) algorithm is presented and applied to Y-junctions, systems with three arms of n sites that meet at a central site. The accuracy is comparable to DMRG of chains. As in chains, new sites are always bonded to the most recently added sites and the superblock Hamiltonian contains only new or once renormalized operators. Junctions of up to N = 3n + 1 ≈ 500 sites are studied with antiferromagnetic (AF) Heisenberg exchange J between nearest-neighbor spins S or electron transfer t between nearest neighbors in halffilled Hubbard models. Exchange or electron transfer is exclusively between sites in two sublattices with NA = NB. The ground state (GS) and spin densities ρr =< S z r > at site r are quite different for junctions with S = 1/2, 1, 3/2 and 2. The GS has finite total spin SG = 2S(S) for even (odd) N and for MG = SG in the SG spin manifold, ρr > 0(< 0) at sites of the larger (smaller) sublattice. S = 1/2 junctions have delocalized states and decreasing spin densities with increasing N . S = 1 junctions have four localized Sz = 1/2 states at the end of each arm and centered on the junction, consistent with localized states in S = 1 chains with finite Haldane gap. The GS of S = 3/2 or 2 junctions of up to 500 spins is a spin density wave (SDW) with increased amplitude at the ends of arms or near the junction. Quantum fluctuations completely suppress AF order in S = 1/2 or 1 junctions, as well as in half-filled Hubbard junctions, but reduce rather than suppress AF order in S = 3/2 or 2 junctions.

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Section: Model and Algorithmmentioning

confidence: 99%

Efficient density matrix renormalization group algorithm to study Y junctions with integer and half-integer spin

et al. 2016

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“…The modified DMRG has better convergence and also has sparse Hamiltonian matrix of superblock for the model Hamiltonian in Eq. 1, compared to the conventional DMRG where only one site is added in each block at every step [16]. The number of eigenvectors of the density matrix retained up to m = 400 to maintain the truncation error of density matrix eigenvalues less than 10 −10 .…”

Section: Methodsmentioning

confidence: 99%

“…Some of these phases can have well defined order parameters, whereas other phases can have hidden order parameter. The 1D spin-1/2 systems with an isotropic J 1 − J 2 model [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] in the presence of an axial magnetic field have been extensively studied [2][3][4][5][22][23][24][25][26]. The J 1 −J 2 model in an axial magnetic field h is written as…”

Section: Introductionmentioning

confidence: 99%

Multipolar phase in frustrated spin-1/2 and spin-1 chains

Parvej

Kumar

2017

Phys. Rev. B

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The J1 − J2 spin chain model with nearest neighbor J1 and next nearest neighbor antiferromagnetic J2 interaction is one of the most popular frustrated magnetic models. This model system has been extensively studied theoretically and applied to explain the magnetic properties of the real low-dimensional materials. However, existence of different phases for the J1 − J2 model in an axial magnetic field h is either not understood or has been controversial. In this paper we show the existence of higher order p > 4 multipolar phase near the critical point (J2/J1)c = −0.25. The criterion to detect the quadrupolar or spin nematic (SN)/spin density wave of type two (SDW2) phase using the inelastic neutron scattering (INS) experiment data is also discussed, and INS data of LiCuVO4 compound is modelled. We discuss the dimerized and degenerate ground state in the quadrupolar phase. The major contribution of binding energy in the spin-1/2 system comes from the longitudinal component of the nearest neighbor bonds. We also study spin nematic/SDW2 phase in spin-1 system in large J2/J1 limit.

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“…The model with both antiferromagnetic interactions J 1 , J 2 > 0 is well studied [2][3][4][5][6][7][8][9][10] . Also the model (1) with ferromagnetic and antiferromagnetic interactions (J 1 < 0, J 2 > 0) (frustrated ferromagnetic model) has been a subject of many studies [11][12][13][14] .…”

Section: Introductionmentioning

confidence: 99%

1D frustrated ferromagnetic model with added Dzyaloshinskii-Moriya interaction

Vahedi

Mahdavifar

2012

Eur. Phys. J. B

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The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classical and quantum effects of adding a Dzyaloshinskii-Moriya (DM) interaction on the ground state of the system is studied using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state magnetic phase diagram consists of only one single phase: "chiral". The quantum corrections are determined by means of the Lanczos method and a rich quantum phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is obtained. Moreover, next nearest neighbors will be entangled by increasing DM interaction and for open chains, end-spins are entangled which shows the long distance entanglement (LDE) feature that can be controlled by DM interaction.

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Modified density matrix renormalization group algorithm for the zigzag spin-12chain with frustrated antiferromagnetic exchange: Comparison with field theory at largeJ2

Cited by 41 publications

References 31 publications

Efficient density matrix renormalization group algorithm to study Y junctions with integer and half-integer spin

Efficient density matrix renormalization group algorithm to study Y junctions with integer and half-integer spin

Multipolar phase in frustrated spin-1/2 and spin-1 chains

1D frustrated ferromagnetic model with added Dzyaloshinskii-Moriya interaction

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