Level crossing, spin structure factor and quantum phases of the frustrated spin-1/2 chain with first and second neighbor exchange

Kumar, Manoranjan; Parvej, Aslam; Soos, Z. G.

doi:10.1088/0953-8984/27/31/316001

Cited by 26 publications

(51 citation statements)

References 33 publications

(198 reference statements)

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“…For J 2 /|J 1 | < 0.25, the gs of an isolated zigzag ladder has ferromagnetically ordered spins and gapless excitations. In the intermediate parameter regime, 0.25 < J 2 /|J 1 | < 0.67, NC order arises in this system with a small finite spin gap [4][5][6]39]. The system behaves like two decoupled AFM chains exhibiting QLRO in spin-spin correlation and gapless excitations in J 2 /|J 1 | > 0.67 limit [6].…”

Section: Resultsmentioning

confidence: 95%

“…1. Our main focus of this paper is to construct the quantum phase diagram (QPD) and also understand the effect of rung interaction J 3 on the various exotic phases of zigzag ladder [5]. We notice that in small J 2 /|J 1 | limit, gs has collinear striped (CS) SRO on each zigzag ladder; however, spins on one zigzag ladder are aligned antiferromagnetically with respect to the spins on the other zigzag ladder [34].…”

Section: Introductionmentioning

confidence: 99%

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Quantum phase diagram of a frustrated spin- 12 system on a trellis ladder

Maiti

Kumar

2019

Phys. Rev. B

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We study an isotropic Heisenberg spin-1/2 model on a trellis ladder which is composed of two J1 − J2 zigzag ladders interacting through anti-ferromagnetic rung couplings J3. The J1 and J2 are ferromagnetic zigzag spin interaction between two legs and anti-ferromagnetic interaction along each leg of a zigzag ladder. A quantum phase diagram of this model is constructed using the density matrix renormalization group (DMRG) method and linearized spin wave analysis. In small J2 limit a short range stripe collinear phase is found in the presence of J3, whereas, in the large J2/J3 limit non-collinear quasi-long range phase is found. The system shows a short range non-collinear state in large J3 limit. The short range order phase is the dominant feature of this phase diagram. We also show that the results obtained by DMRG and linearized spin wave analysis show similar phase boundary between stripe collinear and non-collinear short range phases, and the collinear phase region shrinks with increasing J3. We apply this model to understand the magnetic properties of CaV2O5 and also fit the experimental data of susceptibility and magnetization. The variation of magnetic specific heat capacity as function of external magnetic field is also predicted. We note that J3 is a dominant interaction in this system, whereas J1 and J2 are approximately half of J3.

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Section: Resultsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Quantum phase diagram of a frustrated spin- 12 system on a trellis ladder

Maiti

Kumar

2019

Phys. Rev. B

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“…(1) consists of numerous phases such as the vector chiral (VC) [1,27], the dimer [5][6][7][8][9][10][12][13][14][15][16][17][18][19][20][21], the decoupled chain [8,18], and multipolar/SDW n phases [3,4]. In this paper, the SN/SDW 2 phase and other higher order multipolar phases are discussed.…”

Section: Resultsmentioning

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%

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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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Quantum Phase Diagram of a Frustrated Spin‐1/2 Ferro‐Antiferromagnetic Normal Ladder

2022

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In this work, we consider a frustrated two-leg spin-1/2 ladder composed of Heisenberg ferromagnetic and antiferromagnetic spin-1/2 chains, and nearest spins from different legs interact via Heisenberg type rung exchange interactions that can be either ferromagnetic or antiferromagnetic in nature. The competing exchange interactions in the system lead to five different quantum phases like ferromagnetic, non-collinear ferrimagnetic (NCF), m À 1=4, antiferromagnetic and dimer phases. The quantum phase diagram is constructed for the Heisenberg spin-1/2 model and the phases are characterized using the correlation functions which are calculated by the density matrix renormalization group method. We also analyze the stability of m À 1=4 phase and calculate the pitch angle q ð Þ in the NCF phase.

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Level crossing, spin structure factor and quantum phases of the frustrated spin-1/2 chain with first and second neighbor exchange

Abstract: The spin-1/2 chain with isotropic Heisenberg exchange J 1 , J 2 > 0 between first and second neighbors is frustrated for either sign of J 1 . Its quantum phase diagram has critical points at fixed J 1 /J 2 between gapless phases with nondegenerate ground state (GS) and

Cited by 26 publications

References 33 publications

Quantum phase diagram of a frustrated spin- 12 system on a trellis ladder

Quantum phase diagram of a frustrated spin- 12 system on a trellis ladder

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

Quantum Phase Diagram of a Frustrated Spin‐1/2 Ferro‐Antiferromagnetic Normal Ladder

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