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5. New disordered anyon phase of doped graphene zigzag nanoribbon

Author

Kim, Young Heon, Lee, Hye Jeong, Lee, Hyng-Yong, and Yang, S. -R. Eric

Subjects
Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory, Quantum Physics
Abstract

We investigate interacting disordered zigzag nanoribbons at low doping, using the Hubbard model to treat electron interactions within the density matrix renormalization group and Hartree-Fock method. Extra electrons that are inserted into an interacting disordered zigzag nanoribbon divide into anyons. Furthermore, the fractional charges form a new disordered anyon phase with a highly distorted edge spin density wave, containing numerous localized magnetic moments residing on the zigzag edges, thereby displaying spin-charge separation and a strong non-local correlation between the opposite zigzag edges. We make the following new predictions, which can be experimentally tested: (1) In the low doping case and weak disorder regime, the soft gap in the tunneling density of states is replaced by a sharp peak at the midgap energy with two accompanying peaks. The $e^-/2$ fractional charges that reside on the boundary of the zigzag edges are responsible for these peaks. (2) We find that the midgap peak disappears as the doping concentration increases. The presence of $e-/2$ fractional charges will be strongly supported by the detection of these peaks. Doped zigzag ribbons may also exhibit unusual transport, magnetic, and inter-edge tunneling properties., Comment: 16 pages, 1~11 pages are main paper and 12~16 pages are supplementary material. 8 figures(for main article), 4 figures (for supplementary material)

Published
2022
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12. Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Author

Kim, Young Heon, Lee, Hye Jeong, and Yang, S. -R. Eric

Subjects
Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Mesoscale and Nanoscale Physics, High Energy Physics - Theory, Quantum Physics
Abstract

Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has a small finite but universal value, independent of the strength of the interaction and the disorder. The result that was obtained for the topological entanglement entropy shows that the disorder-free phase is critical and becomes unstable in the presence of disorder., Comment: 4 pages, 4 figures, new figures added; to be published in PRB

Published
2020
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13. Topologically ordered zigzag nanoribbon: $e/2$ fractional edge charge, spin-charge separation, and ground state degeneracy

Author

Yang, S. -R. Eric, Cha, Min-Chul, Lee, Hye Jeong, and Kim, Young Heon

Subjects
Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory
Abstract

We numerically compute the density of states (DOS) of interacting disordered zigzag graphene nanoribbon (ZGNR) having midgap states showing $e/2$ fractional edge charges. The computed Hartree-Fock DOS is linear at the critical disorder strength where the gap vanishes. This implies an $I\mbox{-}V$ curve of $I\propto V^2$. Thus, $I\mbox{-}V$ curve measurement may yield evidence of fractional charges in interacting disordered ZGNR. We show that even a weak disorder potential acts as a singular perturbation on zigzag edge electronic states, producing drastic changes in the energy spectrum. Spin-charge separation and fractional charges play a key role in the reconstruction of edge antiferromagnetism. Our results show that an interacting disordered ZGNR is a topologically ordered Mott-Anderson insulator., Comment: 10 pages, 18 figures, Published version, Phys. Rev. Research 2, 033109 (2020)

Published
2020
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38. Usefulness of cardiac magnetic resonance images for prediction of sudden cardiac arrest in patients with mitral valve prolapse: a multicenter retrospective cohort study

Author

Lee, Jae-Hyuk, Uhm, Jae-Sun, Suh, Young Joo, Kim, Min, Kim, In-Soo, Jin, Moo-Nyun, Cho, Min Soo, Yu, Hee Tae, Kim, Tae-Hoon, Hong, Yoo Jin, Lee, Hye-Jeong, Shim, Chi Young, Kim, Young Jin, Kim, Jun, Kim, Jong-Youn, Joung, Boyoung, Hong, Geu-Ru, Pak, Hui-Nam, Nam, Gi-Byoung, Choi, Kee-Joon, Kim, You-Ho, and Lee, Moon-Hyoung

Published
2021
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48. Pretreatment prediction of response to ursodeoxycholic acid in primary biliary cholangitis: development and validation of the UDCA Response Score

Author

Thomas, Caradog, Rahman, Meshbah, Yapp, Tom, Lye Ch'ng, Chin, Harrison, Melanie, Sturgess, Richard, Galaska, Roman, Healey, Chris, Whiteman, Jessica, Czaijkowski, Marek, Gray, Catherine, Gunasekera, Anton, Gyawli, Pranab, Premchand, Purushothaman, Mann, Steven, Elliott, Keith, Kapur, Kapil, Watson, Alan, Foster, Graham, Trembling, Paul, Subhani, Javaid, Harvey, Rory, McCorry, Roger, Adgey, Carolyn, Hobson, Lucie, Mulvaney-Jones, Caroline, Evans, Richard, Mathialahan, Thiriloganathan, Ramanaden, David, Gasem, Jaber, Van Duyvenvoorde, Greta, Shorrock, Christopher, Seward, Katie, Southern, Paul, Tibble, Jeremy, Penn, Ruth, Gorard, David, Maiden, Jane, Damant, Rose, Palegwala, Altaf, Jones, Susan, Alexander, Graeme, Mells, George, Sandford, Richard, Dolwani, Sunil, Prince, Martin, Silvestre, Valeria, Foxton, Matthew, Dungca, Eleanor, Mitchison, Harriet, Wheatley, Natalie, Gooding, Ian, Doyle, Helen, Karmo, Mazn, Kent, Melanie, Saksena, Sushma, Braim, Delyth, Patel, Minesh, Lord, Susan, Ede, Roland, Paton, Alison, Austin, Andrew, Lancaster, Nicola, Sayer, Joanna, Gibbins, Andrew, Hogben, Karen, Hovell, Chris, Fisher, Neil, Carter, Martyn, Koss, Konrad, Musselwhite, Janine, Muscariu, Florin, Piotreowicz, Andrzej, McKay, Alexandra, Grimley, Charles, Neal, David, Ting Tan, Lai, Lim, Guan, Brighton, Jacqueline, Foale, Carole, Ala, Aftab, Saeed, Athar, Flahive, Kerry, Wood, Gordon, Townshend, Paula, Ford, Chris, Brown, Jonathan, Kordula, Jean, Bowles, Jane, Wilkinson, Mark, Palmer, Caroline, Ramage, John, Gordon, Harriet, Featherstone, James, Ridpath, Jo, Ngatchu, Theodore, Levi, Sass, Shaukat, Syed, Sadeghian, Joy, Shidrawi, Ray, Williams, Bronwen, Abouda, George, Jones, Sarah, Duggan, Claire, Hynes, Abigail, Narain, Mark, Rees, Ian, Salam, Imroz, Crossey, Mary, Taylor-Robinson, Simon, Brown, Ashley, MacNicol, Carolyn, Williams, Simon, Wilhelmsen, Elva, Banim, Paul, Raymode, Parizade, Chilton, Andrew, Das, Debasish, Lee, Hye-Jeong, Curtis, Howard, Heneghan, Michael, Gess, Markus, Durant, Emma, Drake, IM, Bishop, Rebecca, Davies, Mervyn, Jones, Rebecca, Aldersley, Mark, Ncube, Noma, McNair, Alistair, Srirajaskanthan, Raj, Sen, Sambit, Casey, Rebecca, Bird, George, Mendall, Mike, Cowley, Caroline, Barnardo, Adrian, Kitchen, Paul, Yoong, Kevin, Amore, Kelly, Sirdefield, Dawn, Orpe, Jacky, Mathew, Ray, MacFaul, George, Wrigth, Aruna, Shah, Amir, Evans, Chris, Keggans, Janie, Bird, Bridget, Baxter, Gwen, Saha, Subrata, Pollock, Katharine, Hughes, Maggie, Bramley, Peter, Grieve, Emma, Young, Karin, Fraser, Andrew, Mukhopadhya, Ashis, Ocker, Kate, Mills, Peter, Hines, Francis, Shallcross, Chris, Wilkins, Joy, Grellier, Leonie, Campbell, Stewart, Martin, Kirsty, Bathgate, Andrew, Innes, Caron, Shepherd, Alan, Rushbrook, Simon, Valliani, Talal, Przemioslo, Robert, Fairlamb, Helen, Macdonald, Chris, Eastick, Anne, Metcalf, Jane, Tanqueray, Elizabeth, Shmueli, Udi, Holbrook, Becky, Davis, Andrew, Browning, Julie, Naqvi, Asifabbas, Walker, Kirsten, Lee, Tom, Verheyden, Juliette, Slininger, Susan, Ryder, Stephen D, Chapman, Roger, Collier, Jane, O'Donnell, Denise, Stafford, Lizzie, Williamson, Kate, Kent, Linda, Klass, Howard, Ninkovic, Mary, March, Linda, Cramp, Matthew, Simpson, Diane, Dickson, Christine, Sharer, Nicholas, Hayes, Maria, Goggin, Patrick, Quinne, Mary, Pearson, Sallyanne, Hoeroldt, Barbara, Jones, Linda, Wright, Alice, Booth, Jonathan, Loftus, Alison, Lipscomb, George, Dewhurst, Hannah, Gunter, Emma, Williams, Earl, Fouracres, Anna, Farrington, Liz, Graves, Lyn, Hussaini, Hyder, Stableforth, Bill, Marriott, Suzie, Ayres, Reuben, Leoni, Marina, Burroughs, Andrew, Marshall, Eileen, Thorburn, Douglas, Tyrer, David, Martin, Kate, Lombard, Martin, Patanwala, Imran, Dali-Kemmery, Lola, Lambourne, Victoria, Maltby, Julia, Vyas, Samir, Colley, Julie, Shinder, Bal, Singhal, Saket, Jones, Jayne, Mills, Marisa, Gleeson, Dermot, Carnahan, Mandy, Butterworth, Jeff, Boulton, Kerenza, Taylor, Natalie, George, Keith, Harding, Tim, Tregonning, Julie, Douglass, Andrew, Brown, Carly, Clifford, Gayle, Panter, Simon, Gocher, Denise, Shearman, Jeremy, Bray, Gary, Hamilton, Maria, Butcher, Graham, Forton, Daniel, Mclindon, John, Curtis, Janette, Das, Debashis, Shewan, Tracey, Cowan, Matthew, Whatley, Gregory, Nasseri, Mariam, Grover, Bob, Sivaramakrishnan, Nurani, Ducker, Samantha, Houghton, Kathryn, Jones, David, Griffiths, Laura, Tripoli, Sherill, Pitcher, Maxton, Shpuza, Ervin, White, Nikki, Ghosh, Deb, Douds, Andrew, Green, Marie, Brookes, Matthew, Cumlat, Lourdes, Wong, Voi Shim, Warner, Karen, Netherton, Kimberley, Mandal, Adtya, Jain, Snjiv, Gupta, Hemant, Sanghi, Pradeep, Pereira, Steve, Neuberger, James, Gunson, Bridget, Hirschfield, Gideon, Lim, Reina Teegan, Gallagher, Susan, Clement, Darren, Brind, Alison, Watts, Gill, Mupudzi, Mcdonald, Wright, Mark, Gitahi, Jane, Gordon, Fiona, Gocher, Denis, Unitt, Esther, Pateman, Hilary, Batham, Sally, Delahooke, Toby, Grant, Allister, Conder, Jill, Higham, Andrew, Cox, Mark, O'Donohoe, Lynn, Currie, Lynn, King, Alistair, Oblak, Metod, Collins, Carole, Whalley, Simon, Quinn, Marie, Baird, Yolanda, Amey, Isobel, Fraser, Jocelyn, Li, Andy, Cotterill, Donna, Bell, Andrew, Singhal, Amit, Gee, Ian, Greer, Sandra, Ang, Yeng, Ransford, Rupert, Allison, Joanna, Gotto, James, Dyer, Simon, Sweeting, Helen, Millson, Charles, Invernizzi, Pietro, Carbone, Marco, Cristoferi, Laura, Bonato, Giulia, Malinverno, Federica, Bernuzzi, Francesca, Alvaro, Domenico, Labbadia, Giancarlo, Bragazzi, Maria Consiglia, Andreone, Pietro, Muratori, Luigi, Azzaroli, Francesco, Floreani, Annarosa, Galli, Andrea, Tarocchi, Mirko, Giannini, Edoardo, Miele, Luca, Gasbarrini, Antonio, Grieco, Antonio, Marrone, Giuseppe, Donato, Maria Francesca, Valenti, Luca, Marra, Fabio, Marzioni, Marco, Maroni, Luca, Rigamonti, Cristina, Zuin, Massimo, Battezzati, Pier Maria, Picciotto, Antonino, Nardi, Alessandra, Flack, Steve, Carpino, Guido, Varvaropoulou, Nikoletta, Gavrila, Caius, Spicer, Ann, Badrock, Jonathan, Cardinale, Vincenzo, Ainsworth, Holly F, Heneghan, Michael A, Neuberger, James M, Donato, Maria F, Kirby, John, Mitchell-Thain, Robert, Sampaziotis, Fotios, Gaudio, Eugenio, Ronca, Vincenzo, Gerussi, Alessio, Stocken, Deborah D, Cordell, Heather J, Hirschfield, Gideon M, Alexander, Graeme J, Sandford, Richard N, Jones, David E, and Mells, George F

Published
2018
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