Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder

Das, Sambunath; Dey, Dayasindhu; Kumar, Manoranjan; Ramasesha, S.

doi:10.1103/physrevb.104.125138

Cited by 5 publications

(4 citation statements)

References 48 publications

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“…The HAF spin-1/2 system on 5/7, 3/4, 3/5 and 5/5 skewed ladders shows interesting magnetic and non-magnetic QPT in the parameter space of the rung and the leg spin exchange constants [44,45]. Recent work on HAF spin-1 on 5/7 [46], 3/4 and 3/5 [47] skewed ladders has also shown existence of similar magnetic and non-magnetic phase transitions. The quantum phases of HAF spin-1/2 system on 3/4, 5/5 and 3/5 skewed ladders studied at finite external axial magnetic field B are found to show various magnetic plateau phases which follow the Oshikawa, Yamanaka, and Affleck (OYA) [48] rule, in the B − J 1 − J 2 parameter space.…”

Section: Introductionmentioning

confidence: 89%

Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

Das¹,

Dey²,

Ramasesha³

et al. 2022

Preprint

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Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state undergoes a qualitative change in a quantum phase transition (QPT). Therefore, the EE has been extensively used to characterise the QPT in various correlated Hamiltonians. Similarly fidelity also shows sharp changes at a QPT. We characterized the QPT of frustrated antiferromagnetic Heisenberg spin-1/2 systems on 3/4, 3/5 and 5/7 skewed ladders using the EE and fidelity analysis. It is noted that all the non-magnetic to magnetic QPT boundary in these systems can be accurately determined using the EE and fidelity, and the EE exhibits a discontinuous change, whereas fidelity shows a sharp dip at the transition points. It is also noted that in case of the degenerate ground state, the unsymmetrized calculations show wild fluctuations in the EE and fidelity even without actual phase transition, however, this problem is resolved by calculating the EE and the fidelity in the lowest energy state of the symmetry subspaces, to which the degenerate states belong. ‡ † S.D. and D.D. contributed equally to this work

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Section: Introductionmentioning

confidence: 89%

Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

Das¹,

Dey²,

Ramasesha³

et al. 2022

Preprint

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“…Similarly, Dey et.al. carried out the magnetization study of isotropic Heisenberg spin-1/2 on a 5/7-skewed ladder and showed multiple plateau phases with field h [46]. They show that plateau phases are the consequences of gaps in the spectrum, and these plateau phases can be explained in terms of Oshikawa, Yamanaka, and Affleck (OYA) criterion [47].…”

Section: Introductionmentioning

confidence: 99%

“…Another type of anisotropic spin-1/2 ladder is the Kitaev-Heisenberg model on a two leg ladder where the GS has many exotic quantum phases [36]. Many spin-1/2 ladder systems with isotropic and anisotropic exchange interactions have been extensively studied under magnetic field and are reported to exhibit some of the magnetic plateaus and jumps [39][40][41][42][43][44][45][46][47][48][49][50][51][52]. Japaridze et al studied a two-leg spin-1 2 ladder system with leg interaction J and alternate rung as J + ⊥ , J − ⊥ in presence of a longitudinal field h. They have shown that the system shows a zero magnetization up to h − c1 , a plateau at half of the saturation magnetization between h + c1 and h − c2 and full saturation achieved at h + c2 [53].…”

Section: Introductionmentioning

confidence: 99%

Quantum phases and thermodynamics of a frustrated spin-1/2 ladder with alternate Ising–Heisenberg rung interactions

Rahaman

Sahoo

Kumar

2021

J. Phys.: Condens. Matter

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We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in nature and induce frustration in the system. This model shows four interesting quantum phases: (i) stripe rung ferromagnetic (SRFM), (ii) stripe rung ferromagnetic with edge singlet (SRFM-E), (iii) anisotropic antiferromagnetic (AAFM), and (iv) stripe leg ferromagnetic (SLFM) phase. We construct a quantum phase diagram for this model and show that in stripe rung ferromagnet (SRFM), the same type of sublattice spins (either isotropic S-type or discrete anisotropic σ-type spins) are aligned in the same direction. Whereas, in anisotropic antiferromagnetic phase, both S and σ-type of spins are anti-ferromagnetically aligned with each other, two nearest S spins along the rung form an anisotropic singlet bond whereas two nearest σ spins form an Ising bond. In large Heisenberg rung exchange interaction limit, spins on each leg are ferromagnetically aligned, but spins on different legs are anti-ferromagnetically aligned. The thermodynamic quantities like specific heat C v (T), magnetic susceptibility χ(T) and thermal entropy S(T) are also calculated using the transfer matrix method for various phases. The magnetic gap in the SRFM and the SLFM can be noticed from χ(T) and C v (T) curves.

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“…The Heisenberg antiferromagnetic (HAF) spin-1/2 system on 5/7, 3/4, 3/5 and 5/5 skewed ladders shows interesting magnetic and non-magnetic QPT in the parameter space of the rung and the leg spin exchange constants [44,45]. Recent work on HAF spin-1 on 5/7 [46], 3/4 and 3/5 [47] skewed ladders has also shown existence of similar magnetic and non-magnetic phase transitions. The quantum phases of HAF spin-1/2 system on 3/4, 5/5 and 3/5 skewed ladders studied at finite external axial magnetic field B are found to show various magnetic plateau phases which follow the Oshikawa, Yamanaka, and Affleck (OYA) [48] rule, in the B − J 1 − J 2 parameter space.…”

Section: Introductionmentioning

confidence: 99%

Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

et al. 2022

View full text Add to dashboard Cite

Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state (GS) undergoes a qualitative change in a quantum phase transition (QPT). Therefore, the EE has been extensively used to characterise the QPT in various correlated Hamiltonians. Similarly fidelity also shows sharp changes at a QPT. We characterized the QPT of frustrated antiferromagnetic Heisenberg spin-1/2 systems on 3/4, 3/5 and 5/7 skewed ladders using the EE and fidelity analysis. It is noted that all the non-magnetic to magnetic QPT boundary in these systems can be accurately determined using the EE and fidelity, and the EE exhibits a discontinuous change, whereas fidelity shows a sharp dip at the transition points. It is also noted that in case of the degenerate GS, the unsymmetrized calculations show wild fluctuations in the EE and fidelity even without actual phase transition, however, this problem is resolved by calculating the EE and the fidelity in the lowest energy state of the symmetry subspaces, to which the degenerate states belong.

show abstract

Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder

Abstract: Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder (2021) Physical Review B, 104 (12), art. no. 125138, .

Cited by 5 publications

References 48 publications

Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

Quantum phases and thermodynamics of a frustrated spin-1/2 ladder with alternate Ising–Heisenberg rung interactions

Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

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