Dr. Natalia Chepiga: Publications

Floating, critical, and dimerized phases in a frustrated spin- 32 chain

Physical Review B American Physical Society (APS) 101:17 (2020) 174407

Authors:

Natalia Chepiga, Ian Affleck, Frédéric Mila

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Spinon confinement and deconfinement in spin-1 chains

Physical Review B American Physical Society (APS) 101:11 (2020) 115138

Authors:

Laurens Vanderstraeten, Elisabeth Wybo, Natalia Chepiga, Frank Verstraete, Frédéric Mila

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Dimerization and effective decoupling in two spin-1 generalizations of the spin- 12 Majumdar-Ghosh chain

Physical Review B American Physical Society (APS) 100:10 (2019) 104426

Authors:

Natalia Chepiga, Frédéric Mila

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Comb tensor networks

Physical Review B American Physical Society (APS) 99:23 (2019) 235426

Authors:

Natalia Chepiga, Steven R White

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DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains

SciPost Physics Stichting SciPost 6:3 (2019) 033

Authors:

Natalia Chepiga, Frédéric Mila

Abstract:

Motivated by the presence of Ising transitions that take place entirely in the singlet sector of frustrated spin-1/2 ladders and spin-1 chains, we study two types of effective dimer models on ladders, a quantum dimer model and a quantum loop model. Building on the constraints imposed on the dimers, we develop a Density Matrix Renormalization Group algorithm that takes full advantage of the relatively small Hilbert space that only grows as Fibonacci number. We further show that both models can be mapped rigorously onto a hard-boson model first studied by Fendley, Sengupta and Sachdev [Phys. Rev. B 69, 075106 (2004)], and combining early results with recent results obtained with the present algorithm on this hard-boson model, we discuss the full phase diagram of these quantum dimer and quantum loop models, with special emphasis on the phase transitions. In particular, using conformal field theory, we fully characterize the Ising transition and the tricritical Ising end point, with a complete analysis of the boundary-field correspondence for the tricritical Ising point including partially polarized edges. Finally, we show that the Fibonacci anyon chain is exactly equivalent to special critical points of these models.

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Dr. Natalia Chepiga

Research theme

Sub department

Floating, critical, and dimerized phases in a frustrated spin- 32 chain

Authors:

Spinon confinement and deconfinement in spin-1 chains

Authors:

Dimerization and effective decoupling in two spin-1 generalizations of the spin- 12 Majumdar-Ghosh chain

Authors:

Comb tensor networks

Authors:

DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains

Authors:

Abstract:

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