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Frustrated mixed-spin ladders: Evidence for a bond-order wave phase between rung-singlet and Haldane phases

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4]
  1. Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan (Iran); OSTI
  2. Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan (Iran)
  3. California Institute of Technology (CalTech), Pasadena, CA (United States)
  4. University of Fribourg (Switzerland)
+ Show Author Affiliations
In frustrated spin ladders, the interplay of frustration and correlations leads to the familiar Haldane (H) and rung-singlet (RS) phases. The nature of the transition between these two phases is still under debate. In this paper we tackle this issue using tools of quantum information theory. We consider frustrated mixed-spin-(1, 1/2) ladders with antiferromagnetic leg, rung and diagonal couplings, and calculate various quantities, such as the entanglement entropy (EE), the Schmidt gap, and the level degeneracy of the entanglement spectrum (ES). We use two numerical techniques, the infinite time-evolving block decimation (iTEBD) and the density matrix renormalization group (DMRG). We demonstrate that there exists an intermediate phase in which the ES levels do not exhibit the characteristic degeneracies of the H and RS phases. To understand the underlying physics in this phase, here we investigate short-range spin correlations along legs, rungs and diagonals and show that in this intermediate phase long-wavelength modulations occur, akin to bond-order waves.
Research Organization:
Emory Univ., Atlanta, GA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0019374
OSTI ID:
2421191
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 17 Vol. 106; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Frustrated magnetism
Magnetic order
Magnetic phase transitions
Materials Science
Physics
Symmetry protected topological states