2015
DOI: 10.1103/physrevb.92.075423
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Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model

Abstract: We investigate the quantum phase transitions of the extended Hubbard model at half-filling with periodic boundary conditions employing the entanglement of particles, as opposed to the more traditional entanglement of modes. Our results show that the entanglement has either discontinuities or local minima at the critical points. We associate the discontinuities to first order transitions, and the minima to second order ones. Thus we show that the entanglement of particles can be used to derive the phase diagram… Show more

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Cited by 56 publications
(45 citation statements)
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“…Quantum information measures have been known for some time to show signatures at continuous and discrete phase transitions, both at T = 0 and finite temperature [61][62][63][64][65][66][67][68][69][70][71][72][73][74] including the case of spinless fermions under consideration here 63,[75][76][77][78] . A commonality amongst these studies is that the information quantity in question (entanglement entropy, negativity, concurrence, purity, etc.)…”
Section: A Phase Transitions and Limiting Cases Of V /Tmentioning
confidence: 99%
“…Quantum information measures have been known for some time to show signatures at continuous and discrete phase transitions, both at T = 0 and finite temperature [61][62][63][64][65][66][67][68][69][70][71][72][73][74] including the case of spinless fermions under consideration here 63,[75][76][77][78] . A commonality amongst these studies is that the information quantity in question (entanglement entropy, negativity, concurrence, purity, etc.)…”
Section: A Phase Transitions and Limiting Cases Of V /Tmentioning
confidence: 99%
“…It has a huge range of applications being able to properly describe copper-oxide materials related to the high-T c cuprate superconductors [1], conducting polymers [2], and organic charge-transfer salts [3]. The full EFM phase diagram has been studied for specific fillings by means of different techniques [4][5][6][7][8][9]. In particular, the repulsive interaction regime has been intensively investigated due to the presence of a phase with bond-order waves (BOW) [8], not predicted within single loop bosonization [10].…”
Section: Introductionmentioning
confidence: 99%
“…The 1D extended Hubbard model has been extensively studied, see e.g. [32][33][34][35]; here we limit attention to the well-known predictions that obtain from bosonization [30,31], expected to hold for sufficiently weak coupling. In 1D, electronic quasiparticles are ill-defined for arbitrarily weak interactions.…”
Section: B Electron-electron Interactionsmentioning
confidence: 99%
“…By contrast, we here gain control over loop corrections by tuning the band curvature in the ky-direction (through the parameter 1/n, which does not enter the scaling dimension of g, namely [g] = − , in d * = 1+ ) instead of artificially increasing the flavor number. 8 The Dirac-semimetal to band-insulator QCP in the uniaxially strained honeycomb lattice is achieved at the cost of C 3v sym-sively studied by analytical [30,31] and numerical [32][33][34][35] methods (see also Sec. VIII A).…”
Section: B Electron-electron Interactionsmentioning
confidence: 99%