Commit 20e43480 authored by Sebastian Greschner's avatar Sebastian Greschner
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new file: entanglement_spectrum_QLL_FourLegs_OneRung_SpinHalf_DMRG_upup_L100_chi100.pdf

	new file:   entanglement_spectrum_QLL_ThreeLegs_OneRung_SpinHalf_DMRG_updown_m0.00_L100_chi200.pdf
	new file:   entanglement_spectrum_QLL_TwoLegs_OneRung_SpinHalf_DMRG_upup_L200_chi200.pdf
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	new file:   fig_class_flxplt.pdf
	new file:   fig_pltST_jy0.4.pdf
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	new file:   lgt2_paperNotes.bib
	new file:   parity_string_order_QLL_FourLegs_OneRung_SpinHalf_DMRG_upup_L100_chi100.pdf
	new file:   parity_string_order_QLL_ThreeLegs_OneRung_SpinHalf_DMRG_updown_m0.00_L100_chi200.pdf
	new file:   parity_string_order_QLL_TwoLegs_OneRung_SpinHalf_DMRG_upup_L200_chi200.pdf
	new file:   pd_m_Jy_2torus_sv-eps-converted-to.pdf
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	new file:   test_1d_m0-eps-converted-to.pdf
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\@writefile{toc}{\contentsline {title}{Deconfinement transition and boundary Haldane order in multileg quantum link ladders}{1}{}}
\@writefile{toc}{\contentsline {abstract}{Abstract}{1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces (a) Sketch of the QLM model on a ladder (gray spins depict staggered boundary) or on a torus (associating opposite gray spins). (b-f) Sketches of the quantum phases discussed in this phases: For $\mu =0.8$ striped phases (b) Sy $J_y=2.4 J_x$ (c) Sx, $J_y=0.2 J_x$, for $\mu =-0.8$ vortex-antivortex (Ne\'el) phases (d) VA, $J_y=2.4 J_x$ (e) VA', $J_y=0.2 J_x$ and the (f) disordered/deconfined phase DP for $\mu =0$, $J_x=J_y$. Size of bullets depicts $\delimiter "426830A n_{\mathbf {r}}\delimiter "526930B $, arrow-size $\delimiter "426830A S_{\mathbf {r},\mathbf {r'}}^z\delimiter "526930B $ and plaquette-colors the vorticity $\delimiter "426830A Q_{\mathbf {r}}\delimiter "526930B $, with $Q_{\mathbf {r}} = R_{\mathbf {r}}^+ R_{\mathbf {r}}^- - R_{\mathbf {r}}^- R_{\mathbf {r}}^+$. Arrow sizes of (f) has been scaled by a factor of 2 for clarity.}}{1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces 4-leg cylinder at $\mu =0$ (a) Fidelity susceptibility with $L=12$, $24$ and $36$ rungs. (b) Nearest and next-nearest neighbor flippability correlations for the 4-leg cylinder. (c) Sketched phase diagram of the QLM. Color codes depict the von-Neumann bipartite entanglement entropy $S_{vN}$ for the 4-leg ladder in the center of the system. Points depicts the estimated phase transition points for the 4-leg cylinder, by extrapolating the peak positions of the fidelity susceptibility evaluated along the cuts indicated by the dotted lines. (d) Local Hilbert space distribution $\nu _k$ of representative eigenstates of the 4-leg cylinder for the central rung.}}{2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces (a) Boundary-parity and string order of Model\nobreakspace {}\textup {\hbox {\mathsurround \z@ \normalfont (\ignorespaces 1{}{}{}\hbox {}\unskip \@@italiccorr )}} on a 4-leg ladder and (b) entanglement spectrum $\lambda _k$, which is the ordered sequence of Schmidt eigenvalues obtained for dividing the system into two parts along the central rung. DMRG data, $\mu =0$, $L=100$.}}{3}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces (a) Charge and bond average configurations of two defects with distance $L_D=12$ sites. DMRG-data, $L=36$ rungs, $\mu =0.4 J_x$ after substracting background without charges. (a) Sy phase ($J_y=1.8 J_x$), (b) Sx ($J_y=0.4 J_x$), (c) DP $J_y=J_x$. (d) String tension $S_T$ as function of the distance between the defects $L_D$.}}{4}{}}
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\@writefile{toc}{\contentsline {section}{\numberline {}Acknowledgments}{5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {}References}{5}{}}
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